Geometric Constructions

What type of construction do you see?

• midpoint

• angle bisector

• perpendicular bisector

• altitude

The drawing shows the arcs used to construct...what?

• a bisector of a given line

• a bisector of a given angle

• a perpendicular of a given line at a point on the line

• an angle congruent to a given angle

Name the construction.

• midpoint

• perpendicular through a point on the line

• perpendicular through a point NOT on the line

• Circumcenter of a right triangle

What type of construction is illustrated in the diagram?

• Angle congruent to angle D

• Line segment congruent to AD

• Angle congruent to angle D

• Bisection of angle D

What is this?

• Compass

• Circle creator

• Pencil swingy-thing

• Arc maker

Euclid

• American mathematician - Father of Algebra

• Greek mathematician - Father of Calculus

• Greek mathematician - Father of Geometry

• Greek scientist - Father of Chemistry

To construct an equilateral triangle, all you need is a compass and a straightedge.

• True

• False

In the image, line RS is _______ to line JQ.

• parallel

• congruent

• similar

• perpendicular

Name the construction.

• Corresponding angles

• Parallel line to a point not on the line

• Perpendicular line to a point not on the line

• Angle bisector

Suppose we wish to construct a perpendicular bisector of line segment EF. We can correctly begin by placing the compass point on E and marking off the distance to which point?

• A

• B

• C

• D