- 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.ProblemSolvingActivity-CongruentTrianglesGame
- This game involves a bit of prep by the teacher.
- First, you are going to divide the class numbers in thirds. Then, you design three cards.
- Card 1- a congruent triangle.
- Card 2- it’s matching triangle
- Card 3- a congruence statement about the two triangles.
- Create enough cards so that each student receives one. Be sure that your triangles have tic marks on them.
- Add some challenge by using repeated letters in the diagrams and congruence statements. Students will need
to pay close attention to the order of the angles in the congruence statement to find the correct matches. - Then shuffle and hand out the cards.
- Students need to move around the room and find their matches. Each group should have three students in each
group when finished. - This is a fun activity that has a lot of movement in it.
III.MeetingObjectives
- Students will define congruence in triangles.
- Students will understand congruent angles in a triangle.
- Students will use triangle congruence statements.
IV.NotesonAssessment
- Are the groups correct?
- Have students been able to find their team mates?
- Listen to student conversation as they work, are the students talking about properties of congruence?
- Allow time for the students to share the strategies that they used to find each other.
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.ProblemSolvingActivity-TriangleMeasurement
- Students are going to use the distance formula to analyze triangles on a coordinate grid.
- Here is the problem:
- “Maria is designing a triangular garden in her yard. Her neighbor wants an identical triangle garden in her
yard too. Maria is going to use the same dimensions to build her neighbor a garden. To plan her work, Maria
plots her garden out using a coordinate grid. Here are the coordinates for Maria’s triangular garden. - (− 3 , 7 )(− 1 , 5 )(− 4 , 1 )
Chapter 5. Geometry TE - Problem Solving