- 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.Cross-curricular-BridgeConstruction
- Begin by showing students some truss bridge designs.
- For this activity, the students are going to use popsicle sticks or toothpicks to build a truss bridge.
- In younger grades, there are several workbooks on how to do this.
- Given that this is a high school course, have the students design and then build the bridge themselves.
- They need to draw a design first and get it approved.
- Then they can move on to the construction piece of the project.
- When finished, have students explain the importance of congruent triangles in building a solid bridge.
III.TechnologyIntegration
- Students are going to work on a bridge exploration in this activity.
- Have the students google “triangles in bridges”
- Then the students need to look at the different types of bridges.
- Have the students explore two different types bridge designs.
- Ask the students to write congruence statements explaining the congruence of the triangles in the different
bridge designs. - When finished, allow students time to share their work.
IV.NotesonAssessment
- Grade student work in two parts.
- First, grade the design. Is it accurate? Is it neat? Is it labeled? Are the triangles congruent?
- Then grade the construction. Is it complete? Did the students demonstrate with congruent triangles? Is it
accurate with the design? - Provide students with feedback on their work.
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.Cross-curricular-Quiltmaking
- Students are going to be creating their own quilt squares.
- This will extend into the next two lessons.
- In this first lesson, the students are going to design a square that uses triangles that can be proven congruent
using the SSS postulate. - Students should use certain colors in this square and design a key card to explain the color code and that the
triangles can be proven congruent using the SSS postulate.
3.4. Congruent Triangles