Congruent Figures
I.SectionObjectives
- Define congruence in triangles.
- Create accurate congruence statements.
- Understand that if two angles of a triangle are congruent to two angles of another triangle, the remaining
angles will also be congruent. - Explore properties of triangle congruence.
II.MultipleIntelligences
- A way to differentiate this lesson is to work with the determining the congruence of triangles in a hands- on
way. - Begin by teaching the material in the lesson, then move on to the activity.
- Students begin by drawing two congruent triangles. They should use letters to label the vertices of each
triangle. - Then they need to use a protractor to be certain that the two triangles are congruent.
- Once they have determined congruency, the student adds in the tic marks to show congruent sides.
- Finally, they exchange papers with a peer. Once they have exchanged papers, the students need to write three
statements that demonstrate and explain that the two triangles are congruent. - Check student work as part of a class discussion.
- Intelligences- linguistic, logical- mathematical, bodily- kinesthetic, visual- spatial, interpersonal, intraper-
sonal.
III.SpecialNeeds/Modifications
- Review what it the word congruent means.
- Review the properties of a triangle- meaning corresponding sides and corresponding angles being congruent.
- Explain the use of tic marks to show congruency. Be sure that students understand that they may see tic marks
on other figures as well. - Write the congruence properties on the board. Draw the similarities between these properties and the proper-
ties of equality. - Allow time for any questions.
IV.AlternativeAssessment
- Complete an assessment of student understanding by reviewing student diagrams and congruence statements
during the class discussion.
Triangle Congruence Using SSS
I.SectionObjectives
- Use the distance formula to analyze triangles on a coordinate grid.
- Understand and apply the SSS postulate of triangle congruence.
II.MultipleIntelligences
Chapter 4. Geometry TE - Differentiated Instruction