Prove It! - Geometry Worksheet With Answers

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Prove It!

Draw intersecting lines AB and CD. Have them intersect at point X.

Use your protractor to complete the following statements.

• Adjacent angles AXC and DXA add up to

• Adjacent angles AXD and DXB add up to

• Opposite angles AXC and BXD have the same measurement:

• Opposite angles AXD and BXC have the same measurement:

• The total measurement of all four angles formed by the intersecting lines is

Why are the first two statements true for all intersecting lines? (Think: What kind

of angle is equal to 180°?)

Picture two intersecting lines that are perpendicular. What is true of the measurements of

all four angles they form?

Use a compass to draw a circle with midpoint X. Divide the circle into angles by drawing

two intersecting lines that are perpendicular. What must the total measurement of all the

angles in the circle be? Explain.

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