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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

$Delta FGH$ are

$F(0,1)$ ,

$G(3,-1)$ , and

$H(5,3)$ . The coordinates of the vertices of

$Delta SRT$ are

$S(0,-1)$ ,

$R(3/2,0)$ , and

$T(5/2, -2)$ . Which of the following sequences of transformations, applied to

$Delta FGH$ , shows that

$Delta FGH \ ~ \ Delta SRT ?$

A translation 2 units down, and then a dilation by a factor of $1/2$ centered at the origin.
A rotation of 180° about the origin, and then a dilation by a factor of $1/2$ centered at the origin.
A translation of a $1/2$ unit up, and then a dilation by a factor of $1/2$ centered at the origin.
A translation of 1 unit up, a reflection over the x-axis, and then a dilation by a factor of $1/2$ centered at the origin.