Congruence of Triangles Subject Maths Grade 7 Concept

Congruence of Triangles Subject – Maths Grade 7

Concept Objective • Understand that congruent objects are exact copies of one-another • SSS congruence of two triangles • SAS congruence of two triangles • ASA congruence of two triangles • RHS congruence of two right-angled triangles • There is no such thing as AAA congruence of two triangles

Discussion Questions • How does the idea of corresponding parts under congruence apply? Are there corresponding sides? Are there corresponding diagonals? • What is the condition for congruence of two circles? • What will happen if figure is a regular hexagon?

Skill Objectives • Determine whether two triangles are congruent and provide the correct reason as to why the triangles are congruent. • Name congruent triangles and provide the correct reasoning for the triangles being congruent. • Use the fact that all of the corresponding parts are congruent to solve new problems. • State the information that is required in order for the triangles to be congruent.

Activities 1. Prior to the start of a boat race, you (the judging official) must certify that all of the sails are the same size. Without taking down the triangular sails from their masts, how can you determine if the sails on each of the boats are the same size? Using camera take photograph of each step for the following activity. 2. Using these three objects, each group member will create a triangle (the three sides being the ruler, the unsharpened pencil, and the straightedge of the protractor). Once the triangles are created, have the individual member compare triangles with others. Choose any two triangles and compare. Discuss the findings. 3. Repeat the 2 nd activity, but the size of the ruler should be 8 to 9 inches.

Assessment • • • Pre-post evaluation KWL chart Presentation using power point Peer and self- evaluation Teacher’s assessment