AnswersGeometry AUsing Triangle Congruence Theorems

Using Triangle Congruence Theorems — Cumulative exam Answers

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Square PQRS is transformed as shown on the graph.

Question illustration
A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
62
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On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R is at (4, 2).

Question illustration
A
(–6, 10)
B
(–4, –8)
C
(0, –1)
D
(2, 4)
63

Two parallel lines are crossed by a transversal.

Question illustration
A
g = 75
B
g = 80
C
g = 100
D
g = 105
64

Which is logically equivalent to the converse of a conditional statement?

A
the original conditional statement
B
the inverse of the original conditional statement
C
the contrapositive of the original conditional statement
D
the converse of the converse statement
65

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

A
right
B
scalene
C
obtuse
D
equilateral
66

What is the converse of the statement?Perpendicular lines have negative reciprocal slopes.

A
If lines have negative reciprocal slopes, then they are perpendicular.
B
If lines are perpendicular, then they have negative reciprocal slopes.
C
If lines do not have negative reciprocal slopes, then they are not perpendicular.
D
If lines are not perpendicular, then they do not have negative reciprocal slopes.
67

Figure R S T U V is reflected across a point of reflection n to form R prime S prime T prime U prime V prime. Figure R prime S prime T prime U prime V prime is rotated 270 degrees about point P to form R double-prime S double-prime T double-prime U double-prime V double-prime

Question illustration
A
a reflection across line n followed by a translation down and to the right
B
a reflection across line n followed by a 270° rotation about point P
C
a translation down followed by a 270° rotation about point P
D
a translation down followed by a reflection across line n
68

What mistakes did he make? Select two options.

A
He applied the reflection to the pre-image first.
B
He applied the rotation to the pre-image first.
C
He changed the size of the figure instead of just applying a rotation.
D
He used point P as the center of rotation.
E
He used an incorrect angle of rotation around point P.
69

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options.

Question illustration
A
HL
B
SAS
C
SSS
D
ASA
E
AAS
70

Which statements are true based on the diagram? Select two options.

A
Points K, M, and N are collinear.
B
Points J, K, and Q are collinear.
C
Point R is the intersection of line KN and line MQ.
D
Lines JQ, KM, and MQ all intersect at point K.
E
There is only one line that can be drawn through points L and P.
71

Triangle A B C is shown. Lines are drawn from each point to to the opposite side and intersect at point G. Line segments A D, B E, and C F are created.

Question illustration
A
Point G cannot be the centroid because 18:6 does not equal 2:1.
B
Point G cannot be the centroid because FG should be longer than CG.
C
Point G can be the centroid because 12:6 equals 2:1.
D
Point G can be the centroid because FC is longer than FG.
72

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

Question illustration
A
They are complementary.
B
They are supplementary.
C
They are congruent.
D
They are obtuse.
73

Triangle QRS is transformed as shown on the graph.

Question illustration
A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
74

Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).

A
T4, –4(x, y)
B
T–4, –4(x, y)
C
T2, –4(x, y)
D
T–2, –4(x, y)
75

Which diagram shows possible angle measures of a triangle?

A
A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees.
Option A
B
A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees.
Option B
C
A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees.
Option C
D
a triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
Option D
76

On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, negative 5), (1, negative 2), (1, negative 5). Triangle A prime B prime C prime has points (5, 5), (1, 2), (1, 5). Triangle A double-prime B double-prime C double prime has points (negative 1, 3), (negative 5, 0), (negative 5, 3).

Question illustration
A
Translation of negative 6 units x, negative 2 units y composition reflection across the x-axis
Option A
B
Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y
Option B
C
Translation of negative 6 units x, negative 2 units y composition 90 degree rotation about point 0
Option C
D
90 degree rotation about point 0 translation of negative 6 units x, negative 2 units y
Option D

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