Back to Angles are taken to angles of the same measure — Problem 2 · 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
A

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.

1.

An obtuse angle measuring 105°105\degree is translated by the rule (x,y)(x2,y+4)(x, y) \rightarrow (x - 2, y + 4). What is the measure of the image angle, in degrees?