Geometric Constructions

What type of construction do you see?

• midpoint

• angle bisector

• perpendicular bisector

• altitude

What was duplicated?

• line

• line segment

• ray

• angle

The given diagram is what kind of construction?

• Perpendicular bisector

• Congruent angles

• Angle bisector

• Congruent line segments

The drawing shows a compass and straight edge construction of...what?

• the bisector of a given angle

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

• a perpendicular to a given line from a point NOT on the line

• an angle congruent to a given angle

Cash constructed a segment bisector as shown. What is true about the segment bisector? Select all that apply.

• It is perpendicular to segment AB

• It divides segment AB into two congruent segments

• It is exactly the same length as segment AB

• It intersects segment AB at the midpoint

Erick was attempting to construct a perpendicular bisector to the segment  with a compass and straight edge. 

Which of the below statements explains what Erick may have done wrong? 

• Erick should have started with the needle at the midpoint of segment AB

• Erick should have opened his compass to a bigger radius over half the length of segment AB

• On step #2, Erick should have placed the needle where the first arc intersected segment AB

• Erick needs to now connect the opposite arc endpoints with a straight edge to see where they intersect

The figure shows a geometric construction. The markings at point D were made with the compass open to a length less than the length used to draw the arc from point A. Which statements are true? SELECT ALL THAT APPLY

• AB = AC

• BD = BC

• Angle BAC = Angle CDB

• Angle BAD = Angle DAC

When copying line segment AB using a straight edge and a compass, the compass should be used to:

• Draw an arc above point A
• Measure the length of segment AB
• Draw an arc between point A and point B
• Measure half the length of line segment AB

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

• parallel
• congruent
• similar
• perpendicular

Given: angle A
What is the first step in constructing the angle bisector of angle A?

• Draw ray AD
• Draw a line segment connecting points B and C.
• From points B and C, draw equal arcs that intersect at D.
• From point A, draw an arc that intersects the sides of theangle at points B and C.