# Geometry

Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true?
A. Quadrilateral ABCD is a square.
B. Quadrilateral ABCD is a rhombus.
C. Quadrilateral ABCD is a rectangle.
D. Quadrilateral ABCD is an isosceles trapezoid.

My first pick is A but A is not the right answer. Correct answer is C. Could someone please explain to me I am confused. Thank you for your help.

1. 👍 0
2. 👎 0
3. 👁 2,129
1. a rectangle is a parallelogram with supplementary opposite angles (and congruent adjacent angles)

a square is a rectangle with equal sides

1. 👍 0
2. 👎 0
2. in a parallelogram, adjacent angles are supplementary.

If they are also congruent, they must be right angles.

So, C is correct. You know nothing about the side lengths.

1. 👍 1
2. 👎 0
3. Amanda is constructing equilateral triangle JKL inscribed in circle M. To construct the inscribed polygon, she is going to use a compass to partition the circle into congruent arcs. To what width should she set the compass when partitioning the circle?

A.
The width must be equal to the radius of circle M.
B.
The width must be equal the diameter of circle M.
C.
The width can be equal to either the radius or the diameter of circle M.
D.
The width can be any size greater than the radius but less than the diameter of circle M.
E.
The width must be less than the radius of circle M.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

1. Name a pair of complementary angles. (1 point) 1 and 4 1 and 6 3 and 4 4 and 5 2. If m1=37°, what is m4? (1 point) 53° 43° 37° 27° 3. If m1 = 40°, what is m5? (1 point) 50° 40° 35° 25° Use the figure to answer

2. ### math

1. Which angles are adjacent angles? (1 point) ∠GBM and ∠FBC ∠CBX and ∠FBC ∠XBG and ∠FBC ∠MBY and ∠FBC 2. The measure of ∠3 is 101°. Find the measure of ∠1. (1 point) 101° 106° 74° 79° 3. Is line l

1. Find the value of x in the figure. intersecting lines (1 point)40¨¬ 50¨¬ 140¨¬ 180¨¬ 2. Which word best completes this statement? Adjacent angles are ___________ congruent. (1 point)always sometimes never none of these

4. ### geometry

which of the following statements are true? a. if two angles form a linear pair, then the angles are supplementary b. if two angles are right angles, then the angles are complementary c. if two angles have the same measure, then

1. ### math

4. Name a pair of corresponding angles. (1 point) 1 and 6 2 and 6 3 and 5 4 and 5 5. if m

2. ### geometry

Given: QRST is a parallelogram. Prove: QRST is a square. Complete the proof below by choosing the reason for line number 2 and line number 6. Reason Statement 1. QRST is a parallelogram. Given 2. QRST is a rectangle 3. is a right

1. m

4. ### math

This conditional statement is true... If two angles are right angles, then they are congruent. The converse is ...If they are congruent, then the angles are right angles This would be false because not all congruent angles are

1. ### math

Which quadrilaterals have a)perpendicular diagonals b)opposite angles congruent? c) two pairs of parallel sides? d) a pair of congruent, adjacent sides? My answers a)rhombus and square b)rhombus, square, and parallelogram

2. ### geometry

Which of the following statements is true?Select one of the options below as your answer: A. A 25o angle is congruent to a 25o angle. B. Two intersecting lines form two pairs of congruent angles. C. It is possible for congruent

3. ### Geometry

10. Which of the following quadrilaterals always have diagonals that are congruent. Circle all that apply Parallelograms Rectangles Rhombi Squares Isosceles trapezoids 19. Given square ABCD: if the measure of angle ACB = (1x - 32)

4. ### geometry

Given quadrilateral ABCD, with A = 4x - 57 and C = x + 3, what value of x ensures that ABCD is a parallelogram?