Triangle Similarity: AA Answers

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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
3

Which graph shows a dilation?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

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
5

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.
6

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
M
M'(-6, 9) and N'(4, 9)
M
M'(-6, 9) and N'(3, 9)
M
M'(-2, 3) and N'(7, 9)
M
M'(-2, 3) and N'(1, 3)
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.
9

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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