AnswersTX-Geometry A-CRUnit Test

Unit Test — Cumulative exam Answers

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The midpoint of is point P at (−16,6). If point A is at (−10,8), what are the coordinates of point B?

Question illustration
A
(−42,20)
B
(−22,4)
C
(−13,7)
D
(2,−5)
2
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Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Select two options.

A
The rule for the translation can be written as T–3, 1(x, y).
B
The rule for the translation can be written as T–1, 3(x, y).
C
The rule for the translation can be written as(x, y) → (x + 1, y – 3).
D
The rule for the translation can be written as(x, y) → (x – 3, y + 1).
E
Trapezoid ABCD has been translated 3 units to the right and 1 unit up.
3

Which part of the proof does the fourth statement and reason represent?Given: AB ≅ BCBC ≅ EF Prove: EG = AB + FG

Question illustration
A
It is part of the given information.
B
It is part of the argument.
C
It is the conclusion.
D
It is an assumption.
4

Which points lie on the line that passes through point P and is parallel to the given line? Select three options.

A
(–4, 2)
B
(–1, 3)
C
(–2, 2)
D
(4, 2)
E
(–5, –1)
5

In the diagram, DC is 10 units and BC is 6 units.

Question illustration
A
6 units
B
8 units
C
12 units
D
16 units
6

Triangles D E F and D prime E prime F prime are connected at point E. Triangle D E F is rotated about point E to form triangle D prime E prime F prime.

Question illustration
A
dilation
B
reflection
C
rotation
D
translation
7

Which defines a line segment?

A
two rays with a common endpoint
B
a piece of a line with two endpoints
C
a piece of a line with one endpoint
D
all points equidistant from a given point
8

3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to point L between angle P R M.

Question illustration
A
PRL and LRM
Option A
B
ORP and MRN
Option B
C
MRN and NRO
Option C
D
LRP and ORP
Option D
9

In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?

A
QS = 13
B
5 < QS < 8
C
QS > 13
D
3 < QS < 13
10

Two parallel lines, e and f, are crossed by two transversals.

Question illustration
A
m15 = 77°
Option A
B
m15 = 83°
Option B
C
m15 = 93°
Option C
D
m15 = 97°
Option D
11

A line extends from a side of a triangle.

Question illustration
A
a remote interior angle
B
an adjacent interior angle
C
an exterior angle
D
a complementary angle
12

On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5).

Question illustration
A
y + 5 = x + 2
B
y − 2 = x − 5
C
y − 5 = −(x − 2)
D
y + 2 = −(x + 5)
13

Triangles A B C and E D C are shown. Triangle A B C is rotated about point C to form triangle E D C.

Question illustration
A
a rotation about point B
B
a reflection across the line containing CB
C
a reflection across the line containing AC
D
a rotation about point C
14

Two parallel lines are crossed by a transversal.

Question illustration
A
m = 68
B
m = 78
C
m = 102
D
m = 112
15

What is the format of this proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABD is a right angle

Question illustration
A
two-column proof
B
two-paragraph proof
C
flowchart proof
D
one-paragraph proof
16

A triangle with exterior angles is shown. The bottom right angle of the triangle is (3 h + 18) degrees. The bottom right exterior angle is (15 h) degrees.

Question illustration
A
h = 1.5
B
h = 9
C
h = 10
D
h = 13.5
17

Triangle DEF is isosceles, where . Angle FDE is bisected by segment DG, creating angle GDE with a measure of 29°.

Question illustration
A
29°
B
32°
C
58°
D
64°
18

How can ΔABC be mapped to ΔXYZ?

Question illustration
A
vertex B to vertex Z
B
vertex B to vertex Y
C
vertex A to vertex Z
D
vertex A to vertex Y
19

Let p: The day is Tuesday.Let q: The day is Thursday.Let r: She comes to work.Which represents the statement "The day is Tuesday or Thursday if and only if she comes to work”?

A
p ↔ (q ∧ r)
B
p ↔ (q ∨ r)
C
(p ∧ q) ↔ r
D
(p ∨ q) ↔ r
20

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

A
right
B
scalene
C
obtuse
D
equilateral

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