Math 2: CW 4.2 Congruent Triangles

Front

What does ASA stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that states if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be proven congruent if they have the same angles but different side lengths?

Back

No, if two triangles have the same angles but different side lengths, they are not congruent. This is known as the AAA (Angle-Angle-Angle) condition, which does not prove congruence.

Tags

CCSS.8.G.A.2

Front

What is the difference between congruent triangles and similar triangles?

Back

Congruent triangles have the same size and shape, meaning all corresponding sides and angles are equal. Similar triangles have the same shape but not necessarily the same size; their corresponding angles are equal, but their sides are proportional.

Tags

CCSS.8.G.A.2

Front

If two triangles are congruent by the SAS postulate, what can be said about their corresponding parts?

Back

If two triangles are congruent by the SAS postulate, then all corresponding parts (sides and angles) of the triangles are equal.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

The included angle in the SAS postulate is the angle formed between the two sides being compared. It is crucial because it ensures that the triangles are congruent based on the specific arrangement of the sides.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are congruent using the AAS postulate?

Back

To determine if two triangles are congruent using the AAS postulate, you need to show that two angles and a non-included side of one triangle are equal to the corresponding two angles and the non-included side of the other triangle.

Tags

CCSS.HSG.SRT.B.5