Geometry Illustrative Mathematics

This diagram is a straightedge and compass construction. C is the center of both circles.

Select all statements that must be true by construction.

• Segments AB and AD have the same length

• Segments AC and AD have the same length

• Segments AC and CD have the same length

• Triangle ACD is equilateral

Line CD is the perpendicular bisector of segment AB . The lines intersect at point E . Which of these statements is true?

• E is closer to A

• E is closer to B

• E is the same distance from A and B

• There is not enough information to be sure

Check all that are true about the compass and straightedge construction.

• All sides of the quadrilateral are equal

• There are two sets of equal sides but not all sides are equal

• All four angles are equal

• Line CD is the perpendicular bisector of Line Segment AB

Define a circle in your own words. How does a compass help us make perfect copies of circles?

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To make the ______________ you need two points that are the same distance from your endpoints.

What is the relationship between line AB and line IH?

• Parallel

• Perpendicular Bisector

• Perpendicular

• None of the above

What type of triangle is triangle ABD?

• Isosceles

• Equilateral

• scalene

• Right

Check all of the true statements

• AB = AD

• AE = BD

• EB is the perpendicular bisector of AD

• None of the above are true