Triangle Congruence

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Triangle Congruence. .

Objectives. Students will be able to: Define congruent triangles Illustrates congruent triangles Identifies congruence postulate (SSS, SAS, ASA).

WHAT IS CONGRUENCY? When two shapes are exactly the same size and shape we say they are CONGRUENT WHICH OF THESE SHAPES IS CONGRUENT WITH THE FIRST SHAPE?.

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What is T riangle Congruence?. Two triangles are congruent if and only if corresponding angles and sides are congruent. Two triangles are congruent if their vertices can be paired so that corresponding sides are congruent and corresponding angles are congruent. Two triangles are congruent if they have the same size and shape.

Triangle Congruence. .

Illustration: Congruent triangles. .

Triangle Congruence postulates:. SSS (Side-Side-Side) congruence postulate If three sides of a triangle are congruent to its three corresponding sides of another triangle, then the two triangles are congruent..

Triangle Congruence postulates:. SAS (Side-Angle-Side) congruence postulate If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent..

Triangle Congruence postulates:. ASA (Angle-Side-Angle) congruence postulate If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent..

1. Are these triangles congruent? If so, state the condition..

2. Are these triangles congruent? If so, state the condition..

LET’S PRACTICE. 3. Are these triangles congruent? If so by which condition?.

LET’S PRACTICE. 4. Are these triangles congruent? If so by which condition?.

ACTIVITY. (Find a partner or work alone). . .

EVALUATION. (Write your answers on a separate sheet of paper).

EVALUATION. B. Given the figures below, identify the congruence postulate..

ASSIGNMENT. . Which of the following shows the correct congruence statement for the figure below?.

Thank you…. Prepared by: Merry-Joy L. Caluyo.