AnswersOH-Geometry ACumulative Exam

Cumulative Exam — Cumulative exam Answers

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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°
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The rule is applied to ΔBCD to produce ΔB"C"D". Point B" of the final image is at (–4, 1).

Question illustration
A
(–2, –5)
B
(0, –5)
C
(2, 3)
D
(5, 0)
23

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°
24

Which quadrilateral will always have 4-fold reflectional symmetry?

A
trapezoid
B
rhombus
C
square
D
rectangle
25

Angle B measures 60°. What is the measure of the angle that is complementary to angle B?

A
30°
B
60°
C
120°
D
180°
26

Which statements about the figure must be true? Select three options.

A
DBC is bisected by ray BD.
Option A
B
ABC is bisected by ray BD.
Option B
C
BC = AC
Option C
D
Line segment D B is-congruent-to Line segment B C
Option D
E
2mDBC = mABC
Option E
27

Which figure shows a line of reflectional symmetry for the letter T?

A
A letter T is folded at the horizontal line.
Option A
B
A letter T is folded diagonally.
Option B
C
A letter T is folded vertically through the middle.
Option C
D
A letter T is folded diagonally through its center.
Option D
28

Planes X and Y and points J, K, L, M, and N are shown.

Question illustration
A
0
B
1
C
2
D
3
29

The last line of a proof represents

A
the given information.
B
the argument.
C
the conclusion.
D
the assumptions.
30

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options.

A
The rule for the translation can be written as T–5, 3(x, y).
B
The rule for the translation can be written as T3, –5(x, y).
C
The rule for the translation can be written as(x, y) → (x + 3, y – 3).
D
The rule for the translation can be written as(x, y) → (x – 3, y – 3).
E
Triangle ABC has been translated 3 units to the right and 5 units down.
31

Ray UW is the angle bisector of VUT.

Question illustration
A
32°
B
38°
C
48°
D
76°
32

On a coordinate plane, 2 triangles are shown. The first triangle has points A (negative 2, 1), C (negative 4, 1), and B (negative 3, 4). The second triangle has points A prime (1, negative 2), B prime (4, negative 3), and C prime (1, negative 4).

Question illustration
A
ry=x(x, y) → (–y, –x)
B
ry=–x(x, y) → (–y, –x)
C
ry=x(x, y) → (y, x)
D
ry=–x(x, y) → (y, x)
33

What is the midpoint of ?

Question illustration
A
point F
B
point G
C
point H
D
point I
34

Triangle ABC was transformed using the rule (x, y) → (–y, x). The vertices of the triangles are shown.A (–1, 1)B (1, 1)C (1, 4) A' (–1, –1)B' (–1, 1)C' (–4, 1)

A
The transformation was a 90° rotation about the origin.
B
The transformation was a 180° rotation about the origin.
C
The transformation was a 270° rotation about the origin.
D
The transformation was a 360° rotation about the origin.
35

Using the segment addition postulate, which is true?

Question illustration
A
AB + BC = AD
B
AB + BC = CD
C
BC + CD = AD
D
BC + CD = BD
36

Which statement is true about the given information?

Question illustration
A
BD = BC
Option A
B
BC = BE
Option B
C
BD ≅ CE
D
BC ≅ BD
37

The image of ΔABC after a reflection across is ΔA'B'C'.

Question illustration
A
F is the midpoint of AA' because bisects AA'.
Option A
B
F is the midpoint of EG because AA' bisects EG.
C
F is the midpoint of AA' because AA' bisects EG.
D
F is the midpoint of EG because bisects AA'.
Option D
38

A composition of transformations maps ΔXYZ to ΔX"Y"Z".

Question illustration
A
a 180° rotation about point X
B
a 270° rotation about point X
C
a translation to the right
D
a reflection across line m
39

Raj correctly determined that ray LH is the bisector of GLI.

Question illustration
A
GLH ILM
Option A
B
mKLM = 5mILM
Option B
C
mGLI = 2mGLH
Option C
D
mGLI = mGLH + mHLI
Option D
40

Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.

Question illustration
A
a translation to the right
B
a reflection across line m
C
a 90° rotation about point G
D
a 180° rotation about point G

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