AnswersGeometry - Semester 1 PathwaysTriangle Congruence: SSS and HL

Triangle Similarity: AA Answers

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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
2
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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)
3

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
4

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
5

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
6

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.
7

What is true about the image ΔQ'R'S'? Select three options.Which statements are true?

A
DO,2 (x,y) = (2x, 2y)
B
Side Q'S' lies on a line with a slope of -1.
C
QR is longer than Q'R'.
D
The vertices of the image are closer to the origin than those of the pre-image.
E
The distance from Q' to the origin is twice the distance from Q to the origin.
8

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
9

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
10

On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral A B C D has points (2, negative 2), (4, negative 2), (3, negative 4), and (1, negative 4). Quadrilateral J K L M has points (4, negative 4), (8, negative 4), (6, negative 9), and (2, negative 9).

Question illustration
A
Yes, because sides JK and ML are twice as long as sides AB and DC.
B
Yes, because both figures are parallelograms, so corresponding sides are parallel.
C
No, because sides JK and ML are not twice as long as sides AB and DC.
D
No, because sides JM and KL have different slopes from sides AD and BC.

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Triangle Similarity: AA Answers — Geometry …