Question

If two angles of one triangle are equal two corresponding angles of another sides include by the respective pairs of angles are also equal then the two triangles are congruent by....... test.
1) Hypotenuse side
2) A-S-A
3) S-S-S
4) S-A-S​

Answer 1

A-S-A criteria of congruency.

Extra information

1) SSS (side side side)

All three corresponding sides are equal in length.

See Triangle Congruence (side side side).

2) SAS (side angle side)

A pair of corresponding sides and the included angle are equal.

See Triangle Congruence (side angle side).

3) ASA (angle side angle)

A pair of corresponding angles and the included side are equal.

See Triangle Congruence (angle side angle).

4) RHS ( Right angle hypotenuse side)

The hypotenuse and one side of one right-angled triangle are respectively equal to the hypotenuse and one other side of another right-angled triangle then the two triangles are congruent.

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