Similar Triangles on the Coordinate Plane

The following triangles are ___________________.

• Congruent

• Similar

• Similar & Congruent

• Neither similar or congruent

Which side corresponds with side CB?

• Side AB

• Side DE

• Side DF

• Side FE

True or False: All angles in similar figures are congruent.

• True

• False

Which statement is true about the right triangles shown in the coordinate plane?

• The triangles are unrelated to one another.

• The triangles are congruent, because they have the same slope.

• The triangles are similar and therefore have the same slope.

• The triangles are similar and do not have the same slope.

Triangle PQR and RST are similar right triangles. Which proportion can be used to show that the slope of line PR is equal to the slope of line RT?

Which equation PROVES that the two triangles have the same slope? TIP: What is the slope of the line given?

• The slope of line XZ is the negative reciprocal of the slope of line CA because the triangles are flipped.

• The slope of line XZ is the same as the slope of line CA because the ratios of the corresponding sides of the triangles are equivalent.

• The is no relationship between the slope of line XZ and the slope of line CA.

Identify the slope of EF in triangle DEF.

• 1

• -1

• 3

• -3

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

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.