Unit Test — Cumulative exam Answers

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Which statements regarding are true? Select three options.

Question illustration
A
E F + F G greater-than E G
Option A
B
E G + F G greater-than E F
Option B
C
E G minus F G less-than E F
Option C
D
E F minus F G greater-than E G
Option D
E
E G + E F less-than F G
Option E
42
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Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has verticesR'(0, –2), S'(0, –4), and T'(–3, –1). Which rule describes the transformation?

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
43

Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?

Question illustration
A
On a coordinate plane, a triangle has points X (2, negative 2), Y (6, 0), Z (1, 1).
Option A
B
On a coordinate plane, a triangle has points X (2, 2), Y (6, 0), and Z (1, negative 1).
Option B
C
On a coordinate plane, a triangle has points X (negative 2, negative 2), Y (6, 0), Z (negative 1, 1).
Option C
D
On a coordinate plane, a triangle has points X (negative 2, 2), Y (negative 6, 0), Z (negative 1, negative 1).
Option D
44

A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

A
a reflection of the line segment across the x-axis
B
a reflection of the line segment across the y-axis
C
a reflection of the line segment across the line y = x
D
a reflection of the line segment across the line y = –x
45

Triangle EFG is transformed to create triangle E'F'G'.

Question illustration
A
translation
B
stretch
C
rotation
D
reflection
46

Line ST and point V are shown on the graph.

Question illustration
A
−7
B
−5
C
2
D
3
47

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
48

3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from point H to point N in between angle K, H, J. Angle M H L is (3 x + 20) degrees, angle K H N is (x + 25) degrees, and angle J H N is (x + 20) degrees.

Question illustration
A
25°
B
45°
C
50°
D
95°
49

Four points partition the directed line segment from A to B.• Point P partitions the directed line segment from A to B into a 3:4 ratio. • Point Q partitions the directed line segment from A to B into a 4:3 ratio. • Point R partitions the directed line segment from A to B into a 2:5 ratio. • Point S partitions the directed line segment from A to B into a 5:2 ratio.

Question illustration
A
P
B
Q
C
R
D
S
50

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
51

Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.

Question illustration
A
HL
B
SAS
C
SSS
D
ASA
E
AAS
52

The side lengths of triangle RST are 5, 12, and 13. Which set of ordered pairs form a triangle that is congruent to triangle RST?

A
(–3,–2),(–3,11),(9,–2)
B
(1,–3),(6,–3),(6,10)
C
(2,–1)(7,–1),(2,11)
D
(5,1),(1,13),(12,1)
53

Horizontal and parallel lines M Q and U R are intersected by 2 diagonal lines N S and P T to form triangle E G F. Line N S intersects line M Q at point E and intersects line U R at point F. Line P T intersects line M Q at point E and intersects line U R at point G.

Question illustration
A
∠MEG
B
∠NEG
C
∠PEQ
D
∠RFS
54

In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15.

Question illustration
A
42 units
B
50 units
C
65 units
D
73 units
55

Which statements must be true about the two congruent, shaded figures? Select two options.

A
The figures are rectangles because they are formed inside a rectangle.
B
The figures are rhombi because they are formed by four congruent line segments.
C
The figures are trapezoids because each has exactly one pair of parallel sides.
D
The figures are parallelograms because their opposite sides are parallel.
E
The figures are quadrilaterals because each has four sides.
56

Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7.

Question illustration
A
20 units
B
24 units
C
40 units
D
48 units
57

Consider quadrilateral EFGH.

Question illustration
A
5 units
B
7 units
C
16 units
D
24 units
58

A right angle intersects a line at point M.

Question illustration
A
They are congruent.
B
They are right angles.
C
They are complementary.
D
They are supplementary.
59

Triangle DEF is an isosceles, so DEF DFE.

Question illustration
A
105°
B
125°
C
150°
D
165°
60

Triangles A B C and E F D are shown. The lengths of sides A B and E D are congruent. Angles C A B and E D F are 33 degrees. Angle A C B is 88 degrees and angle D E F is 58 degrees.

Question illustration
A
Yes, A ≅ D and AB ≅ DE.
Option A
B
Yes, they are congruent by either AAS or ASA.
C
No, C is not congruent to any angle in DEF.
Option C
D
No, the congruent sides do not correspond.

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