Similar and Congruent

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

Explain whether or not the triangles shown could lie on the same line.

• Yes, because their slopes both simplify to -6.

• Yes, because their slopes both simplify to 1/6.

• No, because -72/12 is not the same as -144/24

All angles in similar figures are congruent.  

• True

• False

The ratio of the corresponding sides of two similar triangles is 3:5.  What is the ratio of the perimeters of these triangles?

• 5:3

• 9:25

• 3:5

• 6:10

If ABCDE ∼ GHJDF, then∠B is congruent to _______

• ∠H

• ∠D

• ∠F

• ∠J

The figures are similar. Find the scale factor of the smaller figure to the larger figure.

• 5:6

• 6:5

• 4:7

• 2:3

• 2
• 10
• 12
• 15

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA

• SAS

• SSS

• Not Similar

State the postulate that proves these triangles are similar.

• SSS

• SAS

• AA

• Not similar