Cumulative Exam — Cumulative exam Answers

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Complete the paragraph proof.Given: M is the midpoint of Prove: ΔPKB is isosceles

Question illustration
A
corresponding parts of congruent triangles are congruent
B
base angles of isosceles triangles are congruent
C
of the definition of congruent segments
D
of the definition of a right triangle
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A line contains the following points left to right: R, T, U, S. The space between R and T is 12 units. The space between R and S is 24 units.

Question illustration
A
SU + UT = RT
B
RT + TU = RS
C
RS + SU = RU
D
TU + US = RS
43

On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L prime M prime N prime has points (negative 2, negative 1), (6, negative 5), and (negative 2, negative 5).

Question illustration
A
a dilation with a scale factor less than 1 and then a reflection
B
a dilation with a scale factor less than 1 and then a translation
C
a dilation with a scale factor greater than 1 and then a reflection
D
a dilation with a scale factor greater than 1 and then a translation
44

On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0).

Question illustration
A
3x + 5y = −9
B
3x + 5y = 9
C
5x − 3y = −15
D
5x − 3y = 15
45

Point E is drawn on the graph so that line EF is parallel to line CD.

Question illustration
A
−8
B
−4
C
0
D
8
46

A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have?

A
10
B
12
C
18
D
20
47

Triangle ABC has the angle measures shown.

Question illustration
A
Measure of angle A = 20 degrees
Option A
B
Measure of angle B = 60 degrees
Option B
C
are complementary
Option C
D
Measure of angle A + measure of angle C = 100 degrees
Option D
48

Triangle DEF is an isosceles, so DEF DFE.

Question illustration
A
105°
B
125°
C
150°
D
165°
49

Pentagon ABCDE is dilated according to the ruleDO,3(x,y) to create the image pentagon A'B'C'D'E', which is shown on the graph.

Question illustration
A
(-1, 1)
B
(-1, 2)
C
(-9, 6)
D
(-9, 18)
50

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

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