Properties of Geometric Figures

Fill in the blank:

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

• Equidistant

• Congruent

• Vertical

• Corresponding

Find AE

• 12.5

• 18

• 11.75

• 13

Find the value of x.

• 15

• 20

• 48

• 80

Find JL

• 72

• 58

• 68

• 69

Line l bisects the segment. Find the lengths of AN and AB.

• AN = 9.2, AB = 9.2

• AN = 9.2, AB = 18.4

• AN = 18.4, AB = 9.2

• AN = 18.4, AB = 18.4

Find the missing length indicated.

• 60

• 100

• 80

• 20

In isosceles triangle DAC, AD is congruent to AC. Karl knows that the base angles of an isosceles triangle are congruent. Select all the choices that would allow Karl to show that AB is a perpendicular bisector of segment CD.

• AB is an angle bisector.

• DB is congruent to BC.

• AB is congruent to itself.

• AB is perpendicular to DC.

• Angle ABD is congruent to angle ABC.

Given the diagram at the right, as labeled, find CD.

• 2

• 4

What geometric construction is shown in the diagram below?

• an angle bisector

• a line parallel to a given line

• an angle congruent to a given angle

• a perpendicular bisector of a segment

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