Coach E's ASA and AAS

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.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of the order of letters in triangle congruence statements?

Back

The order of letters in triangle congruence statements indicates the corresponding vertices of the triangles, ensuring that the triangles are matched correctly.

Tags

CCSS.HSG.CO.B.7

Front

How can you determine if two triangles are congruent using the ASA criterion?

Back

Two triangles are congruent using the ASA criterion if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

Two triangles are congruent using the AAS criterion if two angles and a corresponding non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between ASA and AAS?

Back

The difference is that ASA requires the included side between the two angles to be equal, while AAS allows for a non-included side to be equal.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, often written in the form of triangle names that correspond to each other.

Tags

CCSS.HSG.CO.B.7

Front

If triangle ABC is congruent to triangle DEF, what can be inferred about their corresponding sides and angles?

Back

If triangle ABC is congruent to triangle DEF, then angle A = angle D, angle B = angle E, angle C = angle F, side AB = side DE, side BC = side EF, and side AC = side DF.

Tags

CCSS.HSG.CO.B.7

Front

What does it mean if two triangles are 'not congruent'?

Back

If two triangles are 'not congruent', it means that their corresponding sides and angles are not equal, indicating that the triangles have different shapes or sizes.

Tags

CCSS.8.G.A.2

Front

Provide an example of a triangle congruence statement using AAS.

Back

If triangle XYZ has angles X = 50°, Y = 60° and side XY = 10 cm, and triangle PQR has angles P = 50°, Q = 60° and side PQ = 10 cm, then triangle XYZ is congruent to triangle PQR by AAS.

Tags

CCSS.HSG.SRT.B.5