Back to Angles are taken to angles of the same measure — Problem 3 · Task Set 20

Exercises: Rigid Motions Preserve Angle Measure

Work through each section in order. A rigid motion is a translation, reflection, or rotation. For each problem, decide what the angle-preservation property tells you before measuring or computing. Show your work where indicated.

Grade 8·21 problems·~30 min·Common Core Math - Grade 8·standard·8-g-a-1b
Work through problems with immediate feedback
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Fluency Practice

Apply each transformation and verify the angle-preservation property. Use the measure of the original angle to predict the measure of the image.

A coordinate grid showing a 72-degree angle on the right and its reflection across the y-axis on the left.
1.

Angle GHIGHI measures 72°72\degree. It is reflected across the y-axis by the rule (x,y)(x,y)(x, y) \rightarrow (-x, y). The image angle opens in the opposite direction. What is the measure of the image angle, in degrees?