Constructions Review

Name the construction

1) Mark two points, A and B.

2) Draw a line segment AB to connect the two points

3) Draw a circle; center: A, radius AB

4) Draw a circle; center: B, radius AB

5) Label the intersection of the two circles C

6) Connect A and C with a line segment, and B and C with a line segment

• Equilateral Triangle

• Angle Bisector

• Perpendicular Bisector

• Points of Concurrency

Name the construction

1) Mark two points, A and B.

2) Draw a line segment AB to connect the two points

3) Draw a circle; center: A, radius AB

4) Draw a circle; center: B, radius AB

5) Label one intersection of the two circles C

6) Label the other intersection of the two circles D

7) Connect C and D with a line segment

8) Label the intersection of AB and CD

• Perpendicular Bisector

• Angle Bisector

• Equilateral Triangle

• Points of Concurrency

Name the construction

1) Draw a circle; center: A, any radius

2) Label each intersection of the circle and the ray (B and C)

3) Draw a circle, center B, radius BC

4) Draw a circle, center C, radius CB

5) Label the intersection of Circle B and Circle C (D)

6) Draw a vector from vertex A to D

• Equilateral Triangle

• Points of Concurrency

• Perpendicular Bisector

• Angle Bisector

An angle bisector cuts an 108 degree angle into .....

• Two angles: 8 degrees and 100 degrees

• A triangle with equal sides

• Three angles of 36 degrees

• Two angles of 54 degrees.

The red line shown is a(n)

• Radius

• Perpendicular Bisector

• Circle

• Angle Bisector

The picture shows a (n)

• Concentric Circles

• Equilateral Triangle

• Point of Concurrency

• Angle Bisector

Circle C with radius CB and Circle B radius BC was used to create a(n)

• ellipse
• square
• equilateral triangle

• concentric circle

The picture does/doesn't show an angle bisector because...

• Does, because it divides the angle into two equal parts

• Doesn't, because it doesn't divide the angle into two equal parts

• Does, because it divides the angle into two unequal parts

• Doesn't, because all of the circles are not the same size so it divides the angle into two unequal parts

The point of concurrency N, is from

• The intersection of the medians of a triangle
• The intersection of the altitudes of a triangle
• The intersection of the perpendicular bisectors of the sides of a triangle
• The intersection of the angle bisectors of a triangle

The point of concurrency I, is from

• The intersection of the angle bisectors of a triangle
• The intersection of the medians of a triangle
• The intersection of the altitudes of a triangle
• The intersection of the perpendicular bisectors of a triangle