Using Congruent Triangles

Using Congruent Triangles

Geometry

Mrs. LaGrange

Review: How do we know triangles are congruent?

Multiple Choice

Do we have enough information to determine if these triangles are congruent? If so, by what method?

• No

• Yes, ASA

• Yes, AAS

• Yes, SAS

Multiple Choice

Do we have enough information to determine if these triangles are congruent? If so, by what method?

• No

• Yes, SSS

• Yes, AAS

• Yes, SAS

Multiple Choice

Do we have enough information to determine if these triangles are congruent? If so, by what method?

• No

• Yes, SSS

• Yes, AAS

• Yes, ASA

Multiple Choice

Do we have enough information to determine if these triangles are congruent? If so, by what method?

• No

• Yes, SSS

• Yes, AAS

• Yes, ASA

Applications of Congruent Triangles

1. Finding distance
2. In architecture for strengthening structures
3. In art for aesthetics

Distance:

Explain how we could use congruent triangles to find the distance across the canyon.

Fill in the Blank

In the diagram of the half pipe, C is the midpoint of

 $\overline{BD}$  . If  $EC\approx11.5\ m$  and  $CD\ \approx2.5\ m$ , find the approximate distance acress the half pipe.   Recall that for a right triangle:  $a^2\ +b^2\ =c^2$  

Triangles In Architecture

https://sciencing.com/triangles-used-in-architecture-12084289.html

Triangles in Art

https://www.emaze.com/@AFFRFZR

Explore!

Choose one of the uses of triangles that you find most interesting and investigate further. Share your favorite example with us! You might:

a. Find something that you can measure using congruent triangles.

b. Find your favorite example of triangles used in architecture.

c. Find your favorite example of triangles used in art.

Copy and paste your findings with a brief description to the shared Slide Deck in classroom.