SOAR Geo | 5-1A Perpendicular Bisectors

Multiple Choice

What does the word BISECT mean?

• To cut something into more than two pieces

• It is an object on the plane with has two equal sets of parts.

• To cut something into two congruent pieces or in half.

• A shape that is created which has three equal sides. 

Multiple Choice

What does the word PERPENDICULAR mean?

• At an acute angle to a given line or surface.
• At a right angle (90 degrees) with a given line or surface.

• Parallel to a given line or surface.
• At an obtuse angle to a given line or surface.

Multiple Choice

A point that is the same distance from two figures is _______ from the two figures.

• Congruent

• Corresponding

• Vertical

• Equidistant

Draw

Draw in what's missing on the figure to help explain the definition of a perpendicular bisector.

HINT: What marks could you add that would show the lines are perpendiculars & that one cuts the other in half?

Multiple Choice

YW is the perpendicular bisector of XZ.

Side XW is congruent to which side?

• XY

• YZ

• YW

• WZ

Math Response

Line DB is a perpendicular bisector of side AD.

What is the length of side DC?

Type answer here

Correct Answer: 7

Deg^°

Rad

Math Response

Line SQ is a perpendicular bisector of side RP.

What is the length of side SP?

Type answer here

Correct Answer: 68

Deg^°

Rad

Math Response

Line FH is a perpendicular bisector of side GI and FI = 68.

What is the length of side FG?

Type answer here

Correct Answer: 68

Deg^°

Rad

Multiple Choice

The CIRCUMCENTER is the intersection of which special segments?

• Angle Bisectors

• Perpendicular Bisectors

• Medians

• Altitudes

Multiple Choice

Which point is the circumcenter?

• G

• A

• B

• C

Multiple Choice

Which point is equidistant (the same distance) from all the vertices in a triangle?

• Circumcenter
• Incenter
• Neither
• Bilateral

Multiple Select

If G is the circumcenter of triangle ABC,

then which segments are congruent to segment EG?

• BE

• EA

• AF

• GF

• GD

Multiple Choice

Point P is the circumcenter,

which segment is congruent to segment PB?

• DA
• AC
• PC
• PF

Multiple Choice

Point P is the circumcenter of triangle ABC.

Find the value of x.

• $$x=28$$

• $$x=14$$

• $$x=23$$

• $$x=46$$

Multiple Choice

Point O is the circumcenter of the triangle.

Find OB.

• OB = 4
• OB = 6
• OB = 5.1
• Not enough information