Unit 3 Review: Congruent Triangles

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the SSS congruence theorem?

Back

SSS stands for Side-Side-Side, which states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS congruence theorem?

Back

AAS stands for Angle-Angle-Side, which states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means that they do not have the same size and shape, which can be determined by comparing their corresponding sides and angles.

Front

How do you solve for x in triangle problems?

Back

To solve for x, set up equations based on the properties of congruent triangles, such as equal angles or sides, and solve the equations algebraically.

Front

What is the relationship between angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, meaning if two triangles are congruent, each angle in one triangle has a corresponding angle in the other triangle that is equal.

Front

If AC ≅ AD in triangle ACD, what can be inferred?

Back

If AC ≅ AD, then triangle ACD is isosceles, meaning that angles opposite those sides are also equal.

Front

What is the significance of the included angle in SAS?

Back

The included angle in SAS is the angle formed between the two sides being compared; it is crucial for establishing congruence.

Front

How do you find the measure of an angle in a triangle?

Back

To find the measure of an angle in a triangle, you can use the triangle sum theorem, which states that the sum of the angles in a triangle is always 180 degrees.