Geometric Constructions Flashcard

Front

If \( \overrightarrow{KM} \) bisects \( \angle LKJ \) and \( m\angle JKM=22\degree \), find \( m\angle LKM \).

Back

22

Front

What does the word BISECT mean?

Back

To cut something into two congruent pieces or in half.

Front

What is the first step in bisecting an angle using a compass and straightedge?

Back

Draw an arc that intersects both rays of the angle.

Front

List the pictures in order as they would occur, in order to construct an angle bisector.

Back

C, B, A, D

Front

If \( \overrightarrow{KM} \) bisects \( \angle LKJ \) and \( m\angle JKM=22\degree \), find \( m\angle LKJ \).

Back

44

Front

What is an angle bisector?

Back

A line or ray that divides an angle into two equal parts.

Front

How do you construct an angle bisector using a compass?

Back

1. Place the compass point on the vertex of the angle. 2. Draw an arc that intersects both rays of the angle. 3. Label the intersection points. 4. Without changing the compass width, draw arcs from each intersection point. 5. Draw a line from the vertex to the intersection of the arcs.

Front

What is the measure of an angle if its bisector creates two angles of 30 degrees each?

Back

60 degrees.

Front

What is the relationship between the angles formed by a bisector?

Back

The angles formed by a bisector are congruent.

Front

If \( m\angle A = 50\degree \), what is \( m\angle B \) if \( \overrightarrow{AB} \) bisects \( \angle A \)?

Back

50 degrees.