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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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Let ΔABC be the triangle with vertices located at A(0,1), B(3,4), and C(6,-1). The lengths of the sides of the triangle are: AB=3√2 units, BC=√34 units, and AC=2√10 units. The angle measures of the triangle, rounded to 1 decimal place, are: m∠BAC=63.4°, m∠ABC=76.0°, and m∠BCA=40.6°.

Note: For 3 points P, Q, and R, the measure of the angle formed (with Q at the vertex) by these 3 points is given by the following formula:
m∠PQR=cos-1(PR2-PQ2-QR2-2 PQ  QR).

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

ΔABC undergoes the following sequence of transformations: a translation of 3 units right and 2 units down, a reflection over the x-axis, and a dilation of factor 3 centered at the origin. Which of the following points represent the vertices of the transformed triangle, ΔA′B′C′?
  1. A'(-9,-2), B'(-18,6), and C'(-27,-9)
  2. A'(9,1), B'(18,-3), and C'(27,3)
  3. A'(9,3), B'(18,-6), and C'(27,9)
  4. A'(-6,-12), B'(3,-12), and C'(12,-6)