In this lesson, you investigated and then used informal arguments to show angle relationships among parallel lines with a transversal, interior, and exterior angle relationships with a triangle, and the angle-angle criterion for similar triangles.
You also used these relationships to write and solve equations.
Review angle relationships by identifying the alternate interior, alternate exterior, and corresponding angles. Click on the image to access the interactive.
After observing all the angles, answer the following:
Interactive popup. Assistance may be required.
Click on the Alternate Interior tab to view the angles.Interactive popup. Assistance may be required.
Click on the Alternate Exterior tab to view the angles.Interactive popup. Assistance may be required.
Click on the Corresponding Angles tab to view the angles.Below is a diagram reviewing the above information.
First, review the interior angles of a triangle.
Click on the image to access the interactive. Move one of the points, and note the sum of the interior angles of the triangle.
Now, note the relationships between the measure of the exterior angle and the interior angles.
Click on the image to access the interactive. Move point A while observing the angle measures.
Fill in the blanks.
Below is a diagram reviewing the above information.
Click on the image to access the interactive. Move the points around while observing the angles and ask yourself: do any of the interior angle measures change?
Interactive popup. Assistance may be required.
NoBelow is a diagram reviewing the above information.