AnswersGeometry - Semester 1 PathwaysTriangles and Their Side Lengths

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A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the image △A'B'C'? Check all that apply.

A
AB is parallel to A'B'.
B
DO,1/2(x, y) =
Option B
C
The distance from A' to the origin is half the distance from A to the origin.
D
The vertices of the image are farther from the origin than those of the pre-image.
E
A'B' is greater than AB.
3

1 unit left, 1 unit up✔ 1 unit left, 2 units up3 units left, 2 units up2 units left, 4 units up

A
1 unit left, 1 unit up
B
✔ 1 unit left, 2 units up
C
3 units left, 2 units up
D
2 units left, 4 units up
4

(0, 0)(0, 2)(1, 2)✔ (2, 0)

A
(0, 0)
B
(0, 2)
C
(1, 2)
D
✔ (2, 0)
112583

Derek tried to dilate the isosceles trapezoid ABDC with the center of dilation at the origin with a scale factor of 2. Check his work and complete the statements.

Answers:
The slope of AC is .:4
The slope of EG is .:2
The polygons are not dilations of each other because .:the corresponding sides are not parallel
112584

–201✔ 2

A
–2
B
0
C
1
D
✔ 2
112585

the center of dilation is not at (0, 0)the coordinate G should be at (–1, 0)✔ the corresponding sides are not parallelAC and EG are corresponding sides

A
the center of dilation is not at (0, 0)
B
the coordinate G should be at (–1, 0)
C
✔ the corresponding sides are not parallel
D
AC and EG are corresponding sides

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