Identify Similar Triangles

Triangle PQR is similar to triangle DEF as shown. Which describes the relationship between the corresponding sides of the two triangles?

• 
• 
• 
• 

Decide whether the triangles are similar. If so, write a similarity statement.

• ΔABC ~ ΔFED

• ΔABC ~ ΔDEF

• ΔABC ~ ΔDFE

• The triangles are not similar.

In the diagram, ΔMNP ~ ΔRST. Find the value of x.

• 20

• 24

• 30

• 32

Which method can be used to show that the two triangles at the right are similar?

• AA~

• SSS~

• SAS~

• Cannot be shown

Use the information in the diagram to determine the height of the tree.

• 264 feet

• 60 feet

• 72 feet

• 80 feet

Triangles ABC and DEF are similar. The slope of triangle ABC is...

• which is the same as the slope of triangle DEF.

• 3/4 which is the slope of hypotenuse of triangle DEF.

• 4/3 which is the slope of triangle DEF.

• -1 which is the same as the slope of triangle DEF.

Triangle MNP and JKL are similar right triangles. Between which pairs of points are the slopes the same? Choose all that apply.

• N and P; K and J

• M and P; J and L

• M and N; K and L

• N and P; J and L

Which of the following is true about the triangles shown on the graph?

• The slope of the smaller triangle is smaller than the slope of the larger triangle.

• The slope of the larger triangle is larger than the slope of the smaller triangle.

• The triangles are congruent. Congruent: same size, same shape.

• The slopes of the two triangles are the same.

Are the triangles drawn along the line similar? Remember: Similar: same shape, different size.

• yes

• no

Identify the slope of the black line. You can use the blue slope triangles to help you.