Triangle Congruence (SSS, SAS, ASA)

Question 1

These are the kinds of triangles.

Answer 1

Scalene Triangle, Isosceles Triangle, Equilateral Triangle, Equiangular Triangle

Question 2

A triangle with all three sides of different lengths.

Answer 2

Scalene Triangle

Question 3

A triangle with two sides of equal length.

Answer 3

Isosceles Triangle

Question 4

A triangle with all three sides of equal length.

Answer 4

Equilateral Triangle

Question 5

A triangle with all three angles of equal measure.

Answer 5

Equiangular Triangle

Question 6

A triangle in which one angle is a right angle (that is, a 90-degree angle).

Answer 6

Right Triangle

Question 7

The side opposite the right angle in a right triangle.

Answer 7

Hypotenuse

Question 8

These are the properties of an isosceles triangle.

Answer 8

Two sides of equal length, a base that may be of a different length, and base angles that are equal in measure.

Question 9

The third side of an isosceles triangle.

Answer 9

Base

Question 10

The angles opposite the two equal sides of an isosceles triangle.

Answer 10

Base angles

Question 11

This theorem states that if two sides of a triangle are congruent, then angles opposite those sides are congruent.

Answer 11

Isosceles Triangle Theorem

Question 12

If the base angles of a triangle are equal, then the triangle is ___.

Answer 12

Isosceles

Question 13

This theorem states that all right angles are congruent.

Answer 13

Right Angle Theorem

Question 14

This theorem states that if all three sides of one triangle are equal to the three corresponding sides of another triangle, then the two triangles are congruent.

Answer 14

SSS Congruence Theorem

Question 15

This theorem states that if any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are congruent.

Answer 15

SAS Congruence Theorem

Question 16

This theorem states that if any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and the side included between the angles of the second triangle, then the two triangles are congruent.

Answer 16

ASA Congruence Theorem

Question 17

A triangle that is separated by the perpendicular bisector can always produce ___.

Answer 17

Two congruent triangles

Question 18

This is more ideal to use than a perpendicular bisector to prove that two triangles are congruent by SAS.

Answer 18

Altitude