Geometric Foundations and Construction

What is this?

• Compass

• Circle creator

• Pencil swingy-thing

• Arc maker

• A
• B
• C
• D

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

Select the best answer choice.

• F

• G

• H

• J

Select the best answer choice.

• A

• B

• C

• D

Based on the construction, which conclusion is not always true?

• A

• B

• C

• D

What statement is true?
AB=AC
This is an example of a segment copy
AC=BC
TD+RE=7

• AB=AC

• This is an example of a segment copy

• AC=BC

• TD+RE=7

Select the best answer choice.

• F

• G

• H

• J