# Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

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1. ## Geometry- Preferably Ms. Sue

Lucinda wants to build a square sandbox, but she has no way of measuring angles. Which of the following explains how she can make sure the sandbox is square by measuring only length? A)Arrange four equal-length sides, so the diagonals bisect each other.

2. ## Math

Which statements are always true about regular polygons? Select all that apply. All sides are congruent •• Pairs of sides are parallel All angles are congruent •• All angles measure 90 degree Correct me if I'm wrong!!

3. ## Algebra

An isosceles triangle has at least two congruent sides.the perimeter of a certain isosceles triangle is at most 12in. The length of each of the two congruent sides is 5in . What are possible lengths of the remaining side? A.s greater than or equal to 5 but

4. ## Math

Use sine law to explain why the 2 equal sides of an isoceles triangle must be opposite the two equal angles

5. ## math

what shape has 4 equal sides and 4 right angles?

6. ## Geometry - Conditional Statements/Proof

Rewire each statement as two if-then statements that are converses of each other. 18. Two angles are supplementary if and only if the sum of their measures is 180. 20. (x-4)(x+6) = 0 if and only if x = 4 or x = -6 22. Theorem 2-5 may also be worded in this

7. ## Algebra--Correction?

Solve x^2 -3x is greater than or equal to 10 Would the solutions be x=5 and x= -2? Here's how I figured it. x^2-3x is greater than or equal to 10. I subtracted 10 from both sides. This left me with x^2-3x-10 is greater than or equal to 0. Next, I factored

8. ## geometry

Quadrilateral QRST has two pairs of congruent sides, but it is not a parallelogram. What figure is it? What further condition would it have to satisfy to be a parallelogram? A. The figure is a square. To be a parallelogram, it would have to have pairs of

9. ## Math

Hi everyone, my name is Emerson. I was wondering if anybody could help me on a test. I'm stuck on some, but I think I know some others. Thank you! 1. Translate the phrase "nine more than two times a number" in to an algebraic expression. A. 9x + 2 B. 2x +

10. ## Math

Which statement is NOT true for a pair of a intersecting lines? A. They form two pairs of congruent angles. B. They form four pairs of complementary angles. C. They form four pairs of supplementary angles. D. They form two pairs of vertical angles. Thanks

11. ## Civics

Democracy does not guarantee equality of conditions-it only guarantees equality of opportunity."-Irving Kristol What did the author mean by this statement? Everyone is equal in a democracy. Socialism is better than a democracy. In a democracy, everyone has

12. ## Calculus

Consider the function f(x)=6x-cos(x)+5 on the interval 0 is less than or equal to x, and x is less than or equal to 1. The Intermediate Value Theorem guarantees that there is a value c such that for which values of c and k? Fill in the following

13. ## Math

An isosceles triangle has an area of 24 cm squared, and the angle between the two equal sides is 5 pi/6. What is the length of the two equal sides? I can't figure out how to set up this problem please help! Thank you!

14. ## geometry

what is a quadrilateral shape with adjacent sides not equal; 2 pairs of conguent sides; 4 right angles?

15. ## Math

Please check my answers With two parallel lines cut by a transversal, the number of pairs of alternate interior angles is equal to the number of pairs of corresponding angles. (1 point) Always Sometimes Never *I think the answer is sometimes Opposite

16. ## math

Sofia has a plate that has 4 sides of equal length, 2 pairs of opposite sides that are parallel, and no right angles. What quadrilateral best describes the plate.

17. ## geometry

A square always has: a.4 equal sides b.4 equal angles c.All right angles d.All of the above

Explain why a trapezoid a quadrilateral, but why all trapezoids are not always quadrilaterals. If a shape has four sides, no equal angles or sides, what is it? This is an opinion fill in the blank, but I can't think of any words. You give me love, You gave

19. ## math

the area of a triangle is equal to 48 cm squared and two of its sides measure 12 cm and 9 cm, respectively. find the possible measures of the included angles of the given sides.

20. ## math

Tony has a piece of wire 36 inches long. He bent it into a quadrilateral with sides of equal length and angles of equal measure. (Part A) Classify the quadrilateral. Give all the names that fit. (Part B) Justify your answer with evidence.

21. ## Math

Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

22. ## math

A picture on the wall in Jeremy's classroom has 4 right angles, 4 sides of equal length, and 2 pairs of opposite sides that are parallel. What quadrilateral best describes the picture?

23. ## Maths

Triangle ABC has area equal to (90 X spuare root 3)/4 and perimeter equal to 30. Also, one of its angles is equal to 60∘. What is the product of the sides of ABC?

24. ## math

Draw a quadrangle that has 2 pairs of equal sides but is not a parallelogram and what is it called??

Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

26. ## Mathematics

A four-sides shape with both pairs of opposite sides parallel and equal in length,and with no right angles

27. ## geometry

A board on the wall in Jeremy's class has 4 right angles, 4 equal sides, and 2 pairs of parallel sides. Which quadrilateral is it?

28. ## English

Knowing that the Latin root equi- means equal, choose the best meaning for the word equilateral as it is used in the sentence below. The box appears to be square, but I would have to measure its sides to prove that it is equilateral. A. equally distributed

29. ## Math

in a 6 side polygon, the first two angles are equal. , the third angle is twice the equal angles, two other angles are thrice the equal angles, while the last angles is a right angles, find the value of each angles

30. ## Maths

The question says: Two pairs of touching sides are the same length. The diagonals meet at right angles. Opposite sides are not parallel. The diagonals bisect each other, but are different lengths. The diagonals do not meet at right angles. Angles are not

31. ## Maths

Two pairs of touching sides are the same length. The diagonals meet at right angles. Opposite sides are not parallel. The diagonals bisect each other, but are different lengths. The diagonals do not meet at right angles. Angles are not right angles. Please

32. ## Math

The two equal sides of an isosceles triangle are each 24 centimeters. If each of the two equal angles measures 60, find the length of the base and the altitude. (leave your answer in radical form).

33. ## Math

Sofia has a plate that has 4 equal sides, 2 pairs of parallel sides, and no right angle. Which quadrilateral is it?

34. ## maths - shapes

Can you name these quadrilaterals? a) All sides are the same length, opposite sides are parallel, angles are not 90 degrees. b) Two pairs of touching sides are the same length. The diagonals meet at right angles. Opposite sides are not parallel. c) The

35. ## math214

One student says “My sister’s high school geometry book talked about equal angles. Why don’t we use the term equal angels instead of congruent angles? How do you reply?

36. ## Math

Select the geometric figure that possesses all of the characteristics: (1) four equal sides (2) both pairs of opposite sides are parallel (3) it doesn't contain any right angle A) square B) parallelogram C) rhombus D) isosceles triangle I know it's not A

37. ## random variables

For the standard normal random variable Z, compute the following probabilities. For the following problems, use four decimal places. 16. P (0 less than or equal to Z less than or equal .9) 17. P (-1.3 less than or equal to Z less than or equal to) 18. P(Z

38. ## Math

Anita says the plus sign + forms 2 pairs of vertical angles. Charles says it forms 2 pairs of congruent angles. Who is correct? Explain.

39. ## Math- Geometry

Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

40. ## math geometry ITT

so i know that when you have an isosceles triangle has 2 equal sides, and the 2 angles created by those sides are also equal . if a question gives me the angle at the top ( which is 40 degrees ), how do i find the 2 equal angles at the bottom ?

41. ## Geometry

Quadrilateral RUBY is a rectangle. Which of the following statements MUST be true? Check all that apply: [] All four of the sides of RUBY are equal. []All four of the angles of RUBY are equal. []RUBY has two pairs of parallel opposite sides.

42. ## calculus

Consider the function f(x)=65x−cos(x)+2 on the interval 0 less than or equal to x less than or equal to 1. The Intermediate Value Theorem guarantees that there is a value c such that for which values of c and k? Fill in the following mathematical

43. ## math

The sum of angles of an octagon is 750.Three angles are equal.Calculate the sides of the equal angles

44. ## Math

line BC is one side of a regular n-gon. The sides next to line BC are extended to meet at W. Find the measure of angle W in terms of n That's a triangle. Use the facts about the relationships between the angles. If the ngon is regular, then all sides are

45. ## analytical geometry

if in a tetrahedron the sums of the squares of opposite sides are equal,show that its pairs of opposite sides are right angles

46. ## Math

A regular hexagon (ABCDEF) shape of city center in Egypt with sides all of lenght 4 km and with center at 0 (letter). The interior angles of the hexagon are all equal. The interior angles of a polygon with n equal sides and n equal angles (regular polygon)

47. ## Pre-Calc.

The two equal sides of an isosceles triangle are each 24 centimeters. If each of the two equal angles measures 60, find the length of the base and the altitude. (leave your answer in radical form).

48. ## Maths

Please could someone help or complete an unusual calculation for me. I need to solve a triangle where all the angles are known and 2 of the sides. 2 of the sides are identical and 2 of the angles are identical. One angle is one sixtieth of one degree. The

49. ## geometry

Can some one please help me figure the angles out? sorry I can't copy and paste the figures... The 17in x 17in square below is given. We have chosen 4 points M, N, P, and Q one on each of its sides as shown in the figure and joint them to obtain a new four

50. ## geometry

Can you prove ABCD is a parallelogram based on the given information? Explain. Given: x = 5, y = 4 Prove: ABCD is a parallelogram. A. The figure is a square. To be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent

51. ## government

The idea that a media outlet has to be willing to sell an equal amount of airtime to both political sides is known as which of the following? A. the equal time rule*** B. the equal protection clause C. the principle of equity D. the equal rights amendment

52. ## math

i have no parallel sides. my adjacent sides are equal. my diagonals intersect at right angles. what am i?

53. ## geometry

Two sides of a triangle are equal. The third side is 5 inches longer than the one with equal sides. What is the length of the equal sides if the perimeter is 32 inches?

54. ## PreCalc (still confused)

Hello and Happy Halloween! Trying to get this problem and could use some help. Find the dimensions of the rectangle with minimum perimeter if its area is 400 square meters. Find the least perimeter. I know that a rectangle has two sides that are equal and

55. ## math

A triangle having three equal sides is necessary and sufficient for a triangle having three equal angles

56. ## math

Tony has a piece of wire 36 inches long.He bent it into a quadrilateral with sides of equal length and angles of equal measure. (Part A) Classify the quadrilateral.Give all the names that fit. (Part B) Justify your answer with evidence.

57. ## Trigonometry

The length of one of the sides of a triangle is equal to 1m, the measurement of adjacent angles are 30º and 45º. What are the lengths of the other sides of this triangle?

58. ## maths-geometry

how do we prove that opposite angles and sides of a parallelogram are equal in measure?

59. ## Calc

Hello everyone! Could you please help me with this one, I do not even know where to begin D: Show that of all isosceles triangles with two equal sides L and L, the one with the largest area is the one whose two equal sides are perpendicular. The only thing

60. ## Language Arts

1.)Knowing that the Latin root -equi- means "equal," choose the best meaning for the word equilateral as it is used in the sentence below. The box appears to be square, but I would have to measure its sides to prove that it is equilateral. A. equally

61. ## Geometry

Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

62. ## Math

Carla has a plate that has 4 equal sides, 2 pairs of parallel sides, and no right angles. Which quadrilateral is it?

63. ## Math

Could anyone help me udnerstand the base angle theorem and the converse base angle theorem better?..I don't wuite understand them, and I have homework on it. Marie: The base angle theorem: If in a triangle two of the side are equal length, then the angles

64. ## Algebra II

Please check my answers With two parallel lines cut by a transversal, the number of pairs of alternate interior angles is equal to the number of pairs of corresponding angles. (1 point) Always Sometimes Never *I think the answer is sometimes Opposite

65. ## Math

Carl's hands trembled as he stood in front of the safe and unfolded the crumpled piece of paper holding the combination that would open the safe. "Rats!' he moaned. The combination was written in the form of a riddle. The last number was described in the

66. ## math

sofia has a plate that has 4 sides of equal length, 2 pairs of opposite sides that are parallel and no right angles. what quadrilateral best describes the plate?

67. ## Geometry

How do I find the mesurements of a isosceles triangle? I have the sides set as E=72 degrees, and the legs that come down are 15, and i have to find D and F..I have no clue how to do this. Or any idea of a formula to help with this. The two base angles are

68. ## math

the folling shapes are all quadrilrterals because they all have four sides witch quadrilateral has equal sides but does not have equal angles

69. ## math

prove that in an isosceles triangle the angles opposite to the equal sides are also equal .

70. ## Math(geometry)

I need to know how to find the meausure of a triangle using vertical angles, and also how to measure a triangle using linear pairs... Oh, I hope I'm not too late with an answer for you... To measure a triangle using linear pairs, you have to use the

71. ## Math

What is the name of an angle that has equal length sides and equal angles?

72. ## physics

Coulomb's Law do two charges have to be equal for any given force. Question: do equal angles necessarily imply that the charges on the 2 are equal, explain.

73. ## elem math

can some help me with my daughters homework. what figure is part of a line and has two endpoints? does a door have angles like a right , smaller or lager then a right angle? Seth made a picture frame with 4 equal sides and a right angle at each corner,

74. ## mathematics

three angles of a nonagon are equal and the sum of six other angles are 960°.calculate the size of the equal angles.

75. ## Math Check

Solve the inequality. So i have done this problem at least three times and I keep getting the same answer. But in the back of the book the correct answer for this problem is x

76. ## Geometry

How can I tell if a triangle is a 30, 60 90 triangle or a 45 45 90? What are the characteristics? A 45-45-90 triangle has two equal angles (and sides). It is an isoceles right triangle, in other words. It is easy to tell by looking that a 30-60-90 triangle

77. ## Geometry

I really need some help please!!!!! Am I on the right tract? Given: ABCD is a parallelogram;

78. ## Algebra

Did I do this correctly? 13 - (2c + 2) >(pretend it has the line under it that means greater than or equal to) 2(c + 2) + 3c 13 -2c -2 (greater than or equal to) 5c + 4 11c (greater than or equal to) 7c + 4 -7c to both sides 4c (greater than or equal to) 4

79. ## math

Name the shape. Plane shapes. It does not have 4 sides. all of it sides are equal. All of its angles are acute.

80. ## Maths

Two of four angles of a quadrilateral are equal, each being equal to 120°. The ratio of the other two angles is 2:3. Find these two angles.

81. ## math

Which of the following is not a true fact about angles? A) The measure of an angle depends on the amount of rotation. B) Angles depend on the length of the rays that form the angle. C) All right angles are equal in measure. D) All straight angles are equal

82. ## Math

The base of an isosceles triangle is one inch shorter than the equal sides, and the altitude of the triangle is two inches shorter than the equal sides. What is the length of the equal sides?

83. ## Trigonometric Substitution

Trigonometric Substitution a. Explain why the substitution x = asin(Theta) guarantees that cos(Theta) is greater than or equal to 0 . b. What sort of restriction must we put on x and a so that the substitution x = asec(Theta)will guarantee that tan(Theta)

84. ## math

This cube has five cubes along each edge. The faces are covered, but the cube is hollow inside. Can it be divided into two pieces of equal volume? Explain. I am not sure what this question is asking? Does this look right? l x w x h= 5x5x5=125 125/2=62.5

85. ## math

All five angles of a pentagon ABCDE are equal. The diagonals AC, AD and BD have the same length. Prove that all five sides of the pentagon are equal in length.

86. ## vertex angle

The three angles add to 180 degrees. Also , the two base angles of the isoscele triangle are equal, .. Set those base angles equal, and solve for x. Put that value of x into the given, and compute the base angles. The third angle will be the amount to add

87. ## math

can anyone help me with these 3 problems I am trying to check my daughters hoime work it has bee na few years. 1. The sum of n and twenty -two, multiplied by three, is 78 2. the product of z and 17 is less than or equal to the difference of twenty -one

88. ## math

How could knowing that 35/7 equal 5 help you find 42/7 explain

89. ## Math

Anita says the plus sign + forms 2 pairs of vetical angles. Charles says it forms 2 pairs of congruent angles? Who is correct, and why? Wouldn't it be both, because there are 2 pairs of opposite angles with the same measure, and 4 congruent angles.

90. ## calc

An isosceles triangle has an area of 24 yd², and the angle between the two equal sides is 166°. Find the length of the two equal sides.

91. ## Geometry..

Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: angles ABC and RPQ are congruent by completing the paragraph proof. AB=RP=13, BC=(?)=53, and CA=QR=26. So segment AB is congruent to (?), segments BC and PQ are congruent and segment CA is

92. ## math

determine all co terminal angles that lie in the interval -4pi less thank or equal to theta less than or equal to 4pi, for the following angles. a) 3pi/2 b) -5pi/3

93. ## Math

The problem features this image, the URL is below. h t t p :/ / e t s . o p e n s t u d y . c o m / u p d a t e s / a t t a c h m e n t s / 5 6 4 c 8 1 d b e 4 b 0 d 3 c 6 6 b 1 4 5 0 c f - j e w e l r y 0 2 - 1 4 4 7 8 5 5 1 0 9 5 6 7 - t r i 5 . p n g a)

94. ## geomotry

Anita says that a Plus sign + forms 2 pairs of veritcal angles Charles says it forms 2 pairs of congruent angles who is correct? explain

95. ## College Algebra

I need to insert 1 or more sets of parenthesis or brackets to make the following equation equal 0 and then equal 1: -2^2+2^2/1/3-1/3*3-4 I have tired every combination I could think of and can't get it right.

96. ## Math

1) When will the dependent variable in the equation y=√x+4-3 equal or exceed to 4? A) x > or equal to -0.17 B) x > or equal to 45 C) x > or equal to 48 D) x > or equal to 53 2) The function t=√d/16 models the time (t) in seconds that an object has been

97. ## maths

maths:the non-equal angles of a kite PQRS are 30 degree and 50 degree.find the size of d equal angles

98. ## Language Art

1.)Knowing that the Latin root -equi- means "equal," choose the best meaning for the word equilateral as it is used in the sentence below. The box appears to be square, but I would have to measure its sides to prove that it is equilateral. A. equally

99. ## math

Determine whether the fractions in each of the following pairs are equal: a: a^2/b and a^2b/b^2 b: 377/400 and 378/401 c: 0/10 and 0/-10 d: a/b and a+1/b+1, where "a" is not equal to "b" or a =/= b

100. ## geometry

Please respond to the following essay question: Draw and label 2 parallel lines as line m and line n. Add a transversal to your drawing and label it line p. Label all of the angles formed as #1-8. Use your drawing to respond to the following: a) Name four