AnswersCA-Common Core Geometry DVHS Sem. 1Proving Lines Parallel

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Triangle MNP will be dilated according to the rule(x,y), where point P is the center of dilation.

Question illustration
A
(-2, 4)
B
(-2, 6)
C
(-4, 4)
D
(-4, 8)
2
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Triangle STV was dilated with the origin as the center of dilation to form S'T'V'.

Question illustration
A
One-third
Option A
B
Two-thirds
Option B
C
Three-halves
Option C
D
Three
Option D
3

What is true about the image ΔK'L'M'? Select three options.

A
DO, 0.75 (x,y) = (0.75x, 0.75y)
B
LM is parallel to L'M'.
C
KM is shorter than K'M'.
D
The vertices of the image are closer to the origin than those of the pre-image.
E
The distance from M' to the origin is exactly half the distance from M to the origin.
4

Which statements are true about the parallelograms? Select three options.

A
The length of side MN is 2 units.
B
The length of side M'N' is 5 units.
C
The image is smaller than the pre-image.
D
Sides MQ and M'Q' both have the same slope, 1.
E
The scale factor is .
Option E
5

Triangle ABC was dilated and translated to form similar triangle A'B'C'.

Question illustration
A
One-fifth
Option A
B
Two-fifths
Option B
C
Five-halves
Option C
D
5
Option D
6

On a coordinate plane, 2 polygons are shown. Polygon A B C D is larger than polygon A prime B prime C prime D prime and is reflected across the y-axis to form polygon A prime B prime C prime D prime.

Question illustration
A
a dilation with a scale factor less than 1 and then a reflection
B
a dilation with a scale factor less than 1 and then a translation
C
a dilation with a scale factor greater than 1 and then a reflection
D
a dilation with a scale factor greater than 1 and then a translation
7

Which statements are true? Select three options.

A
∠F corresponds to ∠F'.
B
Segment EE' is parallel to segment FF'.
C
The distance from point D' to the origin is the distance of point D to the origin.
Option C
D
The measure of ∠E' is the measure of ∠E.
Option D
E
△DEF △D'E'F'
Option E
8

Triangle MNP is dilated according to the rule DO,1.5 (x,y)(1.5x, 1.5y) to create the image triangle M'N'P, which is not shown.

Question illustration
A
M'(-6, 9) and N'(4, 9)
B
M'(-6, 9) and N'(3, 9)
C
M'(-2, 3) and N'(7, 9)
D
M'(-2, 3) and N'(1, 3)
9

Which graph shows a dilation?

A
On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 4, 3), (0, 3), (2, 0), and (negative 2, 0). The smaller quadrilateral has points (negative 2, 2), (0, 2), (0.5, 0), and (negative 1.5, 0).
Option A
B
On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 4, 3), (0, 3), (2, 0), and (negative 2, 0). The smaller quadrilateral has points (negative 2, 2), (0, 2), (0.5, 0), and (negative 1.5, 0).
Option B
C
On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 1, 0), (negative 2, 1), (0, 1), and (1, 0).
Option C
D
On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 0.5, 0), (negative 1, 2), (1, 2), (1.5, 0).
Option D
10

Which statements are true about the trapezoids? Select three options.

A
The length of side AD is 8 units.
B
The length of side A'D' is 4 units.
C
The image is larger than the pre-image.
D
Sides CD and C'D' both have the same slope, 2.
E
The scale factor is .
Option E
11

Trapezoid DEFG is dilated according to the ruleDO,4(x,y) to form the image trapezoid D'E'F'G', which is shown on the graph.

Question illustration
A
(-2, 1)
B
(-4, 2)
C
(-12, 0)
D
(-32, 16)
12

Which graph shows a dilation?

A
On a coordinate plane, 2 rectangles are shown. The larger rectangle is 8 units wide and 4 units high. The smaller rectangle is 4 units wide and 2 units high.
Option A
B
On a coordinate plane, a square and a rectangle are shown. The square is 2 units wide and 2 units high. The rectangle is 8 units wide and 4 units high.
Option B
C
On a coordinate plane, 2 rectangles are shown. The larger rectangle is 7 units wide and 4 units high. The smaller rectangle is 3 units wide and 2 units high.
Option C
D
On a coordinate plane, 2 rectangles are shown. The larger rectangle is 7 units wide and 4 units high. The smaller rectangle is 3 units wide and 1 unit high.
Option D
13

On a coordinate plane, trapezoids A B D C and M N P Q are shown. The length of A B is 4 units and the length of B D is 2 units. The length of M N is 10 units and the length of N P is 6 units.

Question illustration
A
Yes, because AB and CD are each the lengths MN and QP.
Option A
B
Yes, because sides AB and CD are parallel to sides MN and QP.
C
No, because AB is the length MN but CD is the length QP.
Option C
D
No, because sides AB and CD have different slopes from sides MN and QP.
14

On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (negative 3, 3), (5, 3), (5, negative 1), and (1, negative 5). Polygon A prime B prime C prime D prime has points (negative 5, negative 2), (negative 3, negative 2), (negative 3, negative 3), and (negative 4, negative 4).

Question illustration
A
a dilation with a scale factor of and then a rotation
Option A
B
a dilation with a scale factor of and then a translation
Option B
C
a dilation with a scale factor of 4 and then a rotation
D
a dilation with a scale factor of 4 and then a translation

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