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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

The previous questions have shown that ΔABC ~ ΔA′B′C′. If additional transformations were added to the sequence of transformations in question 1, (transformations such as another translation, a rotation, another reflection, or another dilation), would this alter the results in the previous two questions?
  1. The results in the previous two questions would only be altered if another dilation were added to the sequence of transformations. Otherwise, there would be no change.
  2. Adding any one of the additional transformations would affect the results in the previous two questions.
  3. None of the additional transformations, if added to the sequence of transformations, would affect the results in the previous two questions.
  4. Adding additional transformations would only affect the results in the previous two questions if they included a transformation not around the origin (such as a rotation about a point that is not the origin, or a dilation not centered at the origin).