Lesson 1: Angles and Steepness

Triangle ABC is similar to triangle DEF. Write as many equations as you can to describe the relationships between the sides and angles of the 2 triangles.

$\angle\ A\ \cong\angle\$

Triangle ABC is similar to triangle DEF. Write as many equations as you can to describe the relationships between the sides and angles of the 2 triangles.

$\angle\ B\ \cong\angle\$

Triangle ABC is similar to triangle DEF. Write as many equations as you can to describe the relationships between the sides and angles of the 2 triangles.

$\angle\ C\cong\angle\$

Triangle ABC is similar to triangle DEF. Write as many equations as you can to describe the relationships between the sides and angles of the 2 triangles.

$\frac{AB}{DE}=\frac{BC}{?}$

Triangle ABC is similar to triangle DEF. Write as many equations as you can to describe the relationships between the sides and angles of the 2 triangles.

$\frac{AB}{DE}=\frac{?}{FD}$

Triangle ABC is similar to triangle DEF. Write as many equations as you can to describe the relationships between the sides and angles of the 2 triangles.

$\frac{CB}{CA}=\frac{FE}{?}$

What is the value of x ?

How can you use the ratio to generate the horizontal length of the ramp given the vertical length, y =