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

Unit Test — Unit test Answers

26 verified answers3 views
21
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If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?

A
0.1
B
Option
Option B
C
1
D
10
22
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Read the proof.Given: AB ∥ DEProve: △ACB ~ △DCE

Question illustration
A
AA similarity theorem.
B
SSS similarity theorem.
C
AAS similarity theorem.
D
ASA similarity theorem.
23

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
24

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)
25

△RST ~ △RYX by the SSS similarity theorem.

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

On a coordinate plane, a line is drawn from Rock to Tree. The x- and y-axes are labeled feet. Rock is at (3, 2) and Tree is at (16, 21).

Question illustration
A
(11.4, 14.2)
B
(7.6, 8.8)
C
(5.7, 7.5)
D
(10.2, 12.6)
27

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
28

On a coordinate plane, a line is drawn from point A to point B. Point A is at (9, negative 8) and point B is at (negative 6, 7).

Question illustration
A
(2, –1)
B
(4, –3)
C
(–1, 2)
D
(3, –2)
29

If point P is of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into?

Question illustration
A
4:1
B
4:3
C
4:7
D
4:10
30

On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2).

Question illustration
A
They are perpendicular because their slopes are equal.
B
They are perpendicular because their slopes are negative reciprocals.
C
They are not perpendicular because their slopes are equal.
D
They are not perpendicular because their slopes are not negative reciprocals.
31

On a coordinate plane, rectangle E F G H is shown. Point E is at (1, negative 1), point F is at (negative 4, 1), point G is at (negative 3, 4), and point H is at (2, 2).

Question illustration
A
+ units
Option A
B
+ units
Option B
C
22 units
D
39 units
32

On a coordinate plane, triangle X Y Z is shown. Point X is at (1, 3), point Y is at (4, negative 1), and point Z is at (5, 6).

Question illustration
A
XZ is not perpendicular to XY
B
XZXY
Option B
C
The slope of XZ is , the slope of XY is , and XZ = XY = 5.
Option C
D
The slope of XZ is , the slope of XY is , and the slope of ZY = 7.
Option D
33

On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).

Question illustration
A
(–2, 0)
B
(0, –2)
C
(0, 4)
D
(4, 0)
34

On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).

Question illustration
A
(–4, 1)
B
(1, –2 )
C
(2, 0)
D
(4, 4)
35

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

Question illustration
A
They are perpendicular because their slopes are equal.
B
They are perpendicular because their slopes are negative reciprocals.
C
They are not perpendicular because their slopes are equal.
D
They are not perpendicular because their slopes are negative reciprocals.
36

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

Question illustration
A
units
Option A
B
+ units
Option B
C
units
Option C
D
+ 8 units
Option D
37

Complete the proof to show that ABCD is a parallelogram. The slope of is The slope of is The slope of is The slope of is

Question illustration
A
lengths of consecutive sides are not equal
B
slopes of opposite sides are equal
C
lengths of opposite sides are equal
D
slopes of consecutive sides are not equal
38

On a coordinate plane, line P Q goes through (negative 3, negative 3) and (3, negative 1). Point R is at (1, 1).

Question illustration
A
(0, )
Option A
B
(0, 4)
C
(, 0)
Option C
D
(4, 0)
39

On a coordinate plane, a line F G goes through (negative 8, negative 8) and (8, 4). Point H is at (6, negative 6).

Question illustration
A
(–6, 10)
B
(–2, –12)
C
(0, –2)
D
(4, 2)
40

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

A
Use the distance formula to find the length of each side, and then add the lengths.
B
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
C
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
D
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.

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