Cumulative Exam — Cumulative exam Answers

61 verified answers3 views
41
Free Preview

Triangles K L P and Q M N are shown. Triangle Q M N is slightly higher than triangle K L P and side Q M connects to side K P. Point M is at the midpoint of K P. Sides K L and Q N are congruent. Angles K L P and Q N M are congruent. Angles K P L and Q M N are both right angles.

Question illustration
A
No, KLP and QNM are congruent but KLP cannot be mapped to QNM using a series rigid transformations.
Option A
B
No, KLP and QNM are not congruent.
Option B
C
Yes, KLP can be reflected across the line containing KP and then translated so that P is mapped to M.
Option C
D
Yes, KLP can be rotated about P and then translated so that L is mapped to N.
Option D
43

Let p: It is rainingLet q: Robert is laughing.Assume p is true. Select two statements that must logically be true.

A
p ∨ q
B
p ∧ q
C
q → p
D
p → q
E
q ↔ p
44

[BLANK]

A
congruence
B
symmetric
C
reflexive
D
transitive
45

Question text not available

Question illustration
A
If a triangle is equilateral, then the triangle must also be isosceles.
B
If a triangle is isosceles, then the triangle must also be equilateral.
C
If a triangle is isosceles, then the triangle will never also be equilateral.
D
If a triangle is equilateral, then the triangle will not always be isosceles.
48

Which statements about the diagram are true? Select three options.

A
x = 63
B
y = 47
C
z = 117
D
x + y = 180
E
x + z = 180
49

Which figures are shown in the diagram? Select three options.

A
line CD
B
point D
C
ray CD
D
ray DC
E
segment CD
50

Consider the triangle.

Question illustration
A
Each side has a different length.
B
Two sides have the same length, which is less than the length of the third side.
C
The three sides have the same length.
D
The sum of the lengths of two sides is equal to the length of the third side.
52

The triangles are congruent by the SSS congruence theorem.

Question illustration
A
reflection, then rotation
B
reflection, then translation
C
rotation, then translation
D
rotation, then dilation
53

In the triangles, TR = GE and SR = FE.

Question illustration
A
1.6 ft
B
3.0 ft
C
3.2 ft
D
4.0 ft
54

Point S lies between points R and T on .

Question illustration
A
2 centimeters
B
4 centimeters
C
6 centimeters
D
8 centimeters
55

What additional information could be used to prove ΔABC ≅ ΔMQR using SAS? Select two options.

A
m∠A = 64° and AB = MQ = 31 cm
B
CB = MQ = 29 cm
C
m∠Q = 56° and CB ≅ RQ
D
m∠R = 60° and AB ≅ MQ
E
AB = QR = 31 cm
57

Planes A and B are shown.

Question illustration
A
Line p must be drawn in plane B.
B
Line p must be perpendicular to line m.
C
Line p must be drawn so that it can lie in the same plane as line l.
D
Line p must be drawn in the same plane as line n.
59

Consider the diagram.

Question illustration
A
2 units.
B
5 units.
C
17 units.
D
33 units.

Did you find these answers helpful?