Unit Test — Unit test Answers

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Consider the two triangles.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
23

Triangle ABC was dilated using the rule .

Question illustration
A
10 units
B
12 units
C
16 units
D
20 units
24

On a number line, the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio.Which expression correctly uses the formula to find the location of point R?

Question illustration
A
(StartFraction 3 Over 3 + 5 EndFraction) (2 minus (negative 14)) + (negative 14)
Option A
B
(StartFraction 3 Over 3 + 5 EndFraction) (negative 14 minus 2) + 2
Option B
C
(StartFraction 3 Over 3 + 5 EndFraction) (2 minus 14) + 14
Option C
D
StartFraction 3 Over 3 + 5 EndFraction (negative 14 minus 2) minus 2
Option D
25

Consider △RST and △RYX.

Question illustration
A
StartFraction R Y Over Y S EndFraction = StartFraction R X Over X T EndFraction = StartFraction X Y Over T S EndFraction
Option A
B
StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction
Option B
C
StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction R S Over R Y EndFraction
Option C
D
StartFraction R Y Over R X EndFraction = StartFraction R S Over R T EndFraction = StartFraction X Y Over T S EndFraction
Option D
26

Triangle TVW is dilated according to the ruleDO,(x,y) to create the image triangle T'V'W', which is not shown.

Question illustration
A
T'(-3, 6) and V'(0, 3)
B
T'(-3, 6) and V'(0, 1)
C
T'(-1, 2) and V'(0, 3)
D
T'(-1, 2) and V'(0, 1)
27

Quadrilateral JKLM was dilated according to the ruleDO,(x,y) to create the image quadrilateral J'K'L'M', which is shown on the graph.

Question illustration
A
(0, -4)
B
(0, -1)
C
(0, 0)
D
(0, 4)
28

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 and the length of T Q is 16. The length of R T is x.

Question illustration
A
12 units
B
15 units
C
20 units
D
25 units
29

On a coordinate plane, Rectangles A B C D and E F G H are shown. The length of side A B is 6 units and the length of side B C is 3 units. The length of side E F is 8 units and the length of side F G is 4 units.

Question illustration
A
Yes, because corresponding sides are parallel and have lengths in the ratio
Option A
B
Yes, because both figures are rectangles and all rectangles are similar.
C
No, because the center of dilation is not at (0, 0).
D
No, because corresponding sides have different slopes.
30

is an altitude in triangle WXZ.

Question illustration
A
XWZ is an obtuse angle.
Option A
B
XWZ is a right angle.
Option B
C
XWZ is congruent to WXY.
Option C
D
XWZ is congruent to XZW.
Option D
31

On a number line, the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio.Which expression correctly uses the formula to find the location of point R?

Question illustration
A
(StartFraction 3 Over 3 + 5 EndFraction) (2 minus (negative 14)) + (negative 14)
Option A
B
(StartFraction 3 Over 3 + 5 EndFraction) (negative 14 minus 2) + 2
Option B
C
(StartFraction 3 Over 3 + 5 EndFraction) (2 minus 14) + 14
Option C
D
StartFraction 3 Over 3 + 5 EndFraction (negative 14 minus 2) minus 2
Option D
32

Triangle L M N is cut by line segment O P. Line segment O P goes from side M L to side M N. The length of O L is 14, the length of O M is 28, the length of M P is y, and the length of P N is 18.

Question illustration
A
16
B
24
C
32
D
36
33

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 T Q is 16 and the length of R Q is 20.

Question illustration
A
9 units
B
12 units
C
15 units
D
18 units
34

Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

Question illustration
A
One-eighth
Option A
B
One-fourth
Option B
C
4
D
8
35

Triangle TVW is dilated according to the ruleDO,(x,y) to create the image triangle T'V'W', which is not shown.

Question illustration
A
T'(-3, 6) and V'(0, 3)
B
T'(-3, 6) and V'(0, 1)
C
T'(-1, 2) and V'(0, 3)
D
T'(-1, 2) and V'(0, 1)
36

On a coordinate plane, a line is drawn from point A to point B. Point A is at (7, negative 2) and point B is at (negative 8, negative 9).

Question illustration
A
(–2.2, –6.3)
B
(–2.4, –6.4)
C
(2.7, –0.7)
D
(1.2, –4.7)
37

Triangle RST was dilated by a scale factor of . The image, triangle R'S'T', is an isosceles triangle, with each leg measuring 8 units.

Question illustration
A
4 units
B
8 units
C
16 units
D
20 units
38

Point P is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of P A is 2 and the length of P B is 3. The Length of A A prime is 4 and the length of B B prime is 5.

Question illustration
A
Yes, it is an enlargement with a scale factor of 3.
B
Yes, it is an enlargement with a scale factor of .
Option B
C
No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.
D
No, it is not a dilation because the sides of the image are proportionally reduced from the pre-image.
39

Triangle ABC was dilated using the rule .

Question illustration
A
10 units
B
12 units
C
16 units
D
20 units

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