PROOFS with Congruent triangles

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, which is 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of HA in triangle congruence?

Back

HA stands for Hypotenuse-Angle, which is a theorem that states if the hypotenuse and one angle of a right triangle are congruent to the hypotenuse and one angle of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is a postulate 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.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of congruent triangles in proofs?

Back

Congruent triangles are significant in proofs because they allow us to establish relationships between different geometric figures and to prove properties about them.

Tags

CCSS.HSG.SRT.B.5

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that demonstrates the truth of a geometric statement or theorem.

Tags

CCSS.7.G.A.2

Front

What is the relationship between congruence and similarity in triangles?

Back

Congruent triangles are similar, but similar triangles are not necessarily congruent. Congruence means the triangles are identical in size and shape, while similarity means they have the same shape but may differ in size.

Tags

CCSS.8.G.A.2

Front

What is the importance of the included angle in the SAS postulate?

Back

The included angle in the SAS postulate is important because it is the angle formed between the two sides being compared, and it is necessary for establishing triangle congruence.

Tags

CCSS.HSG.SRT.B.5

Front

How can you prove that two triangles are congruent using the SSS postulate?

Back

To prove that two triangles are congruent using the SSS postulate, you must show that all three corresponding sides of one triangle are equal in length to the three corresponding sides of the other triangle.

Tags

CCSS.HSG.SRT.B.5