Prove It! - Geometry Worksheet With Answers (Page 2 of 2) in pdf

Prove It! - Geometry Worksheet With Answers Page 2

Name

Date

Prove It!

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

Drawings will vary.

Check students’

drawings.

Use your protractor to complete the following statements.

180°

• Adjacent angles AXC and DXA add up to

180°

• Adjacent angles AXD and DXB add up to

Answers will vary.

• Opposite angles AXC and BXD have the same measurement:

Answers will vary.

• Opposite angles AXD and BXC have the same measurement:

360°

• 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°?)

Any two intersecting lines form a straight angle.

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

all four angles they form?

Angles each measure 90°

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.

360°; the measurement of angles in the circle must equal

the measurement of all four angles formed by the two

intersecting lines.

Prove It! - Geometry Worksheet With Answers Page 2