math 10

Question

Answer 1

(5)

Congruent triangle: Congruent triangles are triangles that have the same size and shape.

Condition 1:

SSS Rule:

The Side-Side-Side (SSS) rule states that If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Example:

Observe the triangles:

All sides of the triangle are equal to all sides of the triangle .

Therefore,

Condition 2:

SAS Rule:

The Side-Angle-Side (SAS) rule states that If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

Example:

Observe the triangles:

Two sides of the triangle are equal to two sides of the triangle .

Therefore,

Condition 3:

ASA Rule

The Angle-Side-Angle (ASA) Rule states that If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

Example:

Observe the triangles:

One side of the triangle are equal to one sides of the triangle .

Therefore,