# Corresponding Angles

Author:
MrCarmack
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What does congruent mean?

What does supplementary mean?

On the graph below, the arrows pointed to the right mean that the two lines are parallel. Measure each angle: ().

Which two lines above are parallel?

Look at all those congruent angles! Each congruent angle is a rigid transformation (Translation, Reflection, or Rotation). Let's look at the Translations first. All four angles on top can be translated down and left to match the angles on the bottom. These are called "Corresponding Angles." Make all the corresponding angles the same color. Meaning, match all four angles on the top line with the angle on the bottom line that is a translation.

Which angle is corresponding with ?

Which angle is corresponding with ?

Which definition best describes Corresponding Angles?

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• A
• B
• C
• D

Which transformation best describes Corresponding Angles?

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• A
• B
• C

Looking at your graph above, finish this conjecture: "If a transversal crosses two parallel lines, then corresponding angles are always..."

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• A
• B
• C

What is the measure of the blue angle pictured below?

What is the measure of the red angle pictured below?

## Assume Line BD and Line EG are parallel.

Which pair of angles listed below are Corresponding?

Select all that apply
• A
• B
• C
• D