Triangle Proofs

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does the ASA criterion stand for in triangle congruence?

Back

Angle-Side-Angle: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS criterion in triangle congruence?

Back

Angle-Angle-Side: If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does the HL criterion refer to?

Back

Hypotenuse-Leg: In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of corresponding parts in triangle congruence?

Back

The sides and angles of one triangle that match with the sides and angles of another triangle when the triangles are congruent.

Tags

CCSS.8.G.A.2

Front

What is the significance of the reflexive property in triangle proofs?

Back

The reflexive property states that a quantity is equal to itself, which is often used to show that a side or angle is common to two triangles.

Front

What is the definition of a triangle's median?

Back

A line segment from a vertex to the midpoint of the opposite side, dividing the triangle into two smaller triangles of equal area.

Front

What is the definition of a triangle's altitude?

Back

A perpendicular segment from a vertex to the line containing the opposite side, representing the height of the triangle.

Front

What is the purpose of a two-column proof in geometry?

Back

To provide a structured format for presenting statements and reasons in a logical sequence to prove a geometric theorem.

Tags

CCSS.7.G.B.5

Front

What does the term 'isosceles triangle' mean?

Back

A triangle with at least two sides of equal length and the angles opposite those sides are also equal.

Tags

CCSS.4.G.A.2