Apply Similar Triangles

What is the slope of the line graphed below? Simplify your answer. Be careful of the scale on the y-axis!

• 30/3 = 10/1 = 10

• 3/30 = 1/10

• 3/3 = 1

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

Identify the slope (AC) of triangle ABC.

• 2

• 1/2

• -2

• -1/2

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

These two triangles are

• similar

• not similar

• not enough information

Stefano holds up an 8-inch pencil 32 inches from his eye. The pencil fills the image of a sculpture that is 40 feet away. How tall is the sculpture?

• 10

• 8

• 22

• 14

• 16

Two shapes are ___________ if their corresponding sides are proportional and their corresponding angles are congruent.

• Similar

• Ratio

• Scale factor

• Not similar

Angle Angle Criterion for Triangles: If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are ___________________.

• similar

• cousins

• triangles

• 360 degrees