Geometry Test #5

Question 1

Ways of Proving Congruent Triangles

Answer 1

SSS
SAS
ASA
AAS
HL (for right angles)

Question 2

CPCTC

Answer 2

Corresponding parts of congruent triangles are congruent

Question 3

Isosceles Triangle Definition

Answer 3

A triangle that has at least 2 congruent sides

Question 4

Isosceles Triangle Theorem

Answer 4

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Question 5

Converse of the Isosceles Triangle Theorem

Answer 5

If 2 angles of a triangle are congruent, then the sides opposite them are congruent.

Question 6

Corollaries of the Isosceles Triangle Theorem

Answer 6

An equilateral triangle is equiangular.
An equilateral triangle has three 60 angles.
The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint.

Question 7

Median

Answer 7

Centroid - Inside
Extends from the vertex to a midpoint (forms two congruent segments)

Question 8

Altitude

Answer 8

Orthocenter:
Acute: Inside
Obtuse: Outside
Right: On the vertex
A line that is perpendicular to the other side (forms right angles)

Question 9

Angle Bisector

Answer 9

Incenter - Inside

Question 10

Perpendicular Bisector

Answer 10

Circumcenter:
Acute - Inside
Obtuse - Obtuse
Right - The midpoint of the hypotenuse
(Forms right angles and congruent segments)

Question 11

If two angles of a triangle are congruent,

Answer 11

then the sides opposite those angles are congruent.

Question 12

If a point lies on the perpendicular bisector of a segment,

Answer 12

then the point is equidistant from the endpoints of the segment.

Question 13

If a point is equidistant from the endpoints of a segment,

Answer 13

then the point lies on the perpendicular bisector of the segment.

Question 14

If a point lies on the bisector of an angle,

Answer 14

then the point is equidistant from the sides of the angle.