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Type: Multiple-Choice
Category: Symmetry and Transformations
Level: Grade 10
Standards: HSG-SRT.A.2
Author: nsharp1
Created: 4 years ago

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Symmetry and Transformations Question

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Grade 10 Symmetry and Transformations CCSS: HSG-SRT.A.2

The coordinates of the vertices of

$Delta ABC$ are

$A(-9,7)$ ,

$B(-5,6)$ , and

$C(-7,2)$ . The coordinates of the vertices of

$Delta DEF$ are

$D(1/2,17/2)$ ,

$E(5/2, 8)$ , and

$F(3/2,6)$ . Which of the following sequences of transformations, applied to

$Delta ABC$ , shows that

$Delta ABC \ ~ \ Delta DEF ?$

A translation of 5 units left and 7 units down, a rotation of 270° counterclockwise about the origin, and then a dilation of factor $1/2$ centered at (1,3).
A translation of 1 unit right and 2 units down, a rotation of 180° counterclockwise about the origin, and then a dilation of factor $-1/2$ centered at (3,4).
A translation of 8 units right, a reflection over the y-axis, and then a dilation of factor $3/2$ centered at the origin.
A translation of 3 units right and 1 unit up, a rotation of 90° counterclockwise about the origin, and then a dilation of factor $1/2$ centered at (1,1).