Question

To verify the following:

1. RHS Congruence Criterion.

2. ASA Congruence Criterion.

3. SSS Congruence Criterion.

4. AAS Congruence Criterion.

a) Write the congruence
statement.

b) Draw appropriate diagrams.

c) Verify the Congruence Criterion for each of them.

Class 7 answers please

Answer 1

Answer:

RHS Congruence Rule

Theorem: In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.

ASA Congruence Rule

criterion states that if two angle of one triangle, and the side contained between these two angles, are respectively equal to two angles of another triangle and the side contained between them, then the two triangles will be congruent.

SSS Congruence Rule

SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

AAS Congruence Rule

AAS Angle-Angle-Side Postulate (AAS) tells us 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 two triangles are congruent.

Congruence Statment

When stating that two triangles are congruent, use a congruence statement. The order of the letters is very important, as corresponding parts must be written in the same order. Notice that the congruent sides also line up within the congruence statement.

Congruent triangles are triangles with identical sides and angles. The three sides of one are exactly equal in measure to the three sides of another. The three angles of one are each the same angle as the other.

Step-by-step explanation:

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