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August 20, 2014

Homework Help: math CA

Posted by Jesicca on Monday, March 14, 2011 at 3:13pm.

1. What are the next two terms in each sequence?

2, 4, 8, 14, 22, … (2 points)
30, 38
30, 40
32, 44
32, 46
2. What are the next two terms in each sequence?

1.3, 2.4, 3.5, 4.6, … (2 points)
5.7, 6.8
5.8, 6.9
6.7, 7.8
7.8, 8.9
3. For questions 3–4, use the diagram below. Name the plane that contains the points provided. If the points are not coplanar, explain why.



points B, F, E, and G
(2 points)
BFE
FEG
BFG
The points are not coplanar. G is not in the same plane as B, F, and E.
4. For questions 3–4, use the diagram below. Name the plane that contains the points provided. If the points are not coplanar, explain why.



points D, C, G, and H (2 points)
DCB
CGH
CGF
The points are not coplanar. H is not in the same plane as D, C, and G.
5. Use the diagram below for questions 5–6.



Point Q is the midpoint of . PQ = 2x + 5 and RQ = 6x – 7. What is the length of ? (2 points)
22
6. Use the diagram below for questions 5–6.



If , what is ? (2 points)
150
7. is the perpendicular bisector of at point A, and AK = 6. What is the length of ? (2 points)
??
8. has endpoints A(–2, 5) and B(7, –1). What is the measure of to the nearest tenth? (2 points)
6.4
7.8
9.8
10.8
9. has endpoints A(–2, 5) and B(7, –1). What are the coordinates of the midpoint of ?

(2 points)




10. How can the statement “elephants are large” be written as a conditional statement?
(2 points)
If something is an elephant, then it is a large animal.
If something is a large animal, then it is an elephant.
11. Which two conditional statements make up the biconditional statement shown below?
Two lines are skew if and only if they are not coplanar.
(2 points)
If two lines are skew, then they are coplanar. If two lines are coplanar, then they are skew.
If two lines are skew, then they are not coplanar. If two lines are not coplanar, then they are skew.
If two lines are not skew, then they are coplanar. If two lines are coplanar, then they are not skew.
12. Which of the following statements is a counterexample to the definition shown below?
An obtuse angle is an angle whose measure is greater than 90 degrees.
(2 points)
an acute angle
a right angle
a straight angle
a triangle
13. Use the diagram below. Which statement can be used by itself to prove that two lines in the diagram are parallel?

(2 points)




14. Use the diagram below for questions 14–15.


In the diagram above, line a is parallel to line b. Which theorem or postulate allows you to conclude that ? (2 points)
Corresponding Angles Postulate
Alternate Interior Angles Theorem
Same-Side Interior Angles Theorem
Vertical Angles Theorem
15.

In the diagram above, line a is parallel to line b. Which of the following can you conclude based on the Alternate Interior Angles Theorem? (2 points)




16. Find the measures of the angles of the triangle below. Then use the angle measures to classify the triangle.

(2 points)
equiangular
acute
right
obtuse
17. Name the polygon, and then find the value of x.

(2 points)
pentagon; x = 52.5
pentagon; x = 75
hexagon; x = 52.5
hexagon; x = 75
18. Find the value of x in the figure below.

(2 points)
x = 88
x = 89
x = 90
x = 92
19. Use intercepts to identify the graph of the line with the equation . (2 points)








20. Use intercepts to identify the graph of the line with the equation .
(2 points)








21. Use the slope of to determine which line below, if any, is parallel to .

A(1, 8), B(6, –4)
(2 points)



none
22. Use the slopes of and to determine whether and are parallel, perpendicular, or neither.
A(–8, 5), B(–2, –4), C(6, 0), D(0, –4)
(2 points)
slope of ; slope of ; perpendicular
slope of ; slope of ; perpendicular
slope of ; slope of ; parallel
slope of ; slope of ; neither
23. . Complete the statements below.

____, ____, ____.

(2 points)
, ,
, ,
, ,
, ,
24. Which pair of triangles, if any, can be proven congruent by the ASA Postulate? (2 points)






none
25. Which of the following can you use to prove the triangles congruent? If the triangles cannot be proven congruent, select not possible.

(2 points)
SSS
SAS
HL
not possible
26. Which of the following can you use to prove the triangles congruent? If the triangles cannot be proven congruent, select not possible.


(2 points)
SSS
SAS
ASA
not possible
27. Use the information given in the diagram. Identify why the statement is true.


(2 points)
Vertical angles are congruent.
Corresponding angles formed by two parallel lines and a transversal are congruent.
Alternate interior angles formed by two parallel lines and a transversal are congruent.
Same-side interior angles formed by two parallel lines and a transversal are congruent.
28. In the diagram below, by AAS. Which of the following is true by CPCTC?

(2 points)




29. Name all isosceles triangles in the diagram below.

(2 points)
,
,
, , ,
, , ,
30. Which of the choices below can be used to prove that these triangles are congruent?

(2 points)
SSS
SAS
ASA
HL
31. What is the value of n?
(2 points)

32. Which pair of angles are supplementary angles?

(2 points)




33. Choose the best explanation of why in the figure below.

(2 points)
by SAS, and by the definition of isosceles triangles.
by SAS, and by CPCTC.
by HL, and by the definition of isosceles triangles.
by HL, and by CPCTC.
34. In the figure below, EB = x + 3 and BD = 14. What is the value of x?


(2 points)
8
11
14
17
35. Which line segment contains an altitude of ?


(2 points)
the line through point Q and perpendicular to
the line through the midpoint of and perpendicular to
the line through point A forming two congruent angles that share vertex A
the line through point B and the midpoint of
36. In the diagram below, ABCD is a parallelogram. What is ?

(2 points)

37. In the diagram below, ABCD is a parallelogram. What is ?
(2 points)

38. Three vertices of kite ABCD are A(–1, 2), B(1, 5), and C(1, –1). Which coordinate pair gives the coordinates of the fourth vertex, D? (2 points)
D(3, 2)
D(5, –1)
D(5, 2)
D(5, 5)
39. What is the value of x in the diagram below?
(2 points)

40. What are the values of n and t in the kite below?

(2 points)
n = 4, t = 39
n = 4, t = 51
n = 4.5, t = 39
n = 4.5, t = 51
41. Which statement about diagonals is true? (2 points)
The diagonals of a rectangle are perpendicular.
The diagonals of a kite are congruent.
The diagonals of a trapezoid meet at right angles.
The diagonals of a parallelogram bisect each other.

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