AnswersTPS-202627-MTH-Geometry 1A-CRUnit Test

Unit Test — Unit test Answers

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21
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Read the proof.Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100°Prove: △HKJ ~ △LNP

Question illustration
A
CPCTC
B
definition of supplementary angles
C
triangle parts relationship theorem
D
triangle angle sum theorem
22
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Point P partitions the directed segment from A to B into a 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not?

A
Yes, they both partition the segment into a 1:3 ratio.
B
Yes, they are both the distance from one endpoint to the other.
Option B
C
No, P is the distance from A to B, and Q is the distance from B to A.
Option C
D
No, Q is closer to A and P is closer to B.
23

On a coordinate plane, a line is drawn from point K to point J. Point K is at (9, 2) and point J is at (1, negative 10).

Question illustration
A
–1
B
3
C
7
D
11
24

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9, the length of T Q is 16, and the length of R Q is x.

Question illustration
A
12 units
B
15 units
C
20 units
D
24 units
25

Which best explains whether or not all isosceles triangles are similar?

A
All isosceles triangles are similar. Two angles within each triangle are always congruent.
B
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
C
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
D
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.
26

What is the location of point G, which partitions the directed line segment from D to F into a 5:4 ratio?

Question illustration
A
–1
B
0
C
2
D
3
27

Triangle QRS is to be dilated using the rule .

Question illustration
A
2 units
B
4 units
C
6 units
D
8 units
28

Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.

Question illustration
A
(-2,-4)
B
(-2,-6)
C
(Negative nine-halves, negative 4)
Option C
D
(Negative nine-halves, negative 9)
Option D
29

Triangles ABC and ADE are similar, as shown. Which must be true? Check all that apply.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
F
Option
Option F
G
Option
Option G
30

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).

Question illustration
A
(1,−1)
B
(1,1)
C
(1,0)
D
(0,1)
31

On a coordinate plane, square A B C D is shown. Point A is at (3, 4), point B is at (2, negative 2), point C is at (negative 4, negative 1), and point D is at (negative 3, 5).

Question illustration
A
units
Option A
B
units
Option B
C
28 units
D
37 units
32

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negative 2) and (0, negative 4).

Question illustration
A
They are parallel because their slopes are equal.
B
They are parallel because their slopes are negative reciprocals.
C
They are not parallel because their slopes are not equal.
D
They are not parallel because their slopes are negative reciprocals.
33

The vertices of triangle ABC are A(5,2), B(–1,–6) and C(1,5). If ΔDEF is similar to ΔABC and , which could be the coordinates of vertices D and E?

Question illustration
A
D(–4,2) and E(–4,–1)
B
D(–3,–1) and E(–1,1)
C
D(–5,3) and E(–5,1)
D
D(–2,–2) and E(2,0)
34

On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negative 3) and (4, 0).

Question illustration
A
They are parallel because their slopes are equal.
B
They are parallel because their slopes are negative reciprocals.
C
They are not parallel because their slopes are not equal.
D
They are not parallel because their slopes are negative reciprocals.
35

In the diagram, WZ=.

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
36

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)
37

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)
38

On a coordinate plane, kite K L M N is shown. Point K is at (5, 3), point L is at (3, 2), point M is at (2, 3), and point N is at (3, 4).

Question illustration
A
+ units
Option A
B
units
Option B
C
+ units
Option C
D
units
Option D
39

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (5, 1), point Q is at (6, 4), point R is at (3, 10), and point S is at (2, 7).

Question illustration
A
The slopes of SP and RQ are both –2 and SP = RQ = .
Option A
B
The slopes of RS and QP are both 3 and SP = RQ = .
Option B
C
The midpoint of RP is and the slope of RP is .
Option C
D
The midpoint of SQ is and SQ = 5.
Option D
40

On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (0, negative 1), point W is at (4, 0), point Y is at (3, negative 2), and point Z is at (negative 1, negative 3).

Question illustration
A
+ units
Option A
B
+ units
Option B
C
16 units
D
22 units

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