Triangles and Congruence

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to all three sides of another triangle.

Front

Why is AAA not a valid criterion for triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which only proves that two triangles are similar, not congruent, as it does not provide information about the sides.

Front

What are remote interior angles in a triangle?

Back

Remote interior angles are the two angles inside a triangle that are not adjacent to a given exterior angle.

Front

If two triangles have two angles equal, what can be said about their sides?

Back

If two triangles have two angles equal, their corresponding sides are in proportion, but the triangles are not necessarily congruent.

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths and all three angles are of different measures.

Front

What is the definition of an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length and the angles opposite those sides are equal.

Front

What is the definition of an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal, each measuring 60 degrees.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.