Similar Triangles on a Coordinate Plane

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

Which transformation(s) create(s) similar figures?

• Dilation

• Translation, Reflection, and Rotation

• Translation and Reflection

• Reflection and Rotation

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Two similar right triangles are shown in the coordinate plane. Point P lies on line segment PR. Which statement best compares the slope of PQ to the slope of PR.

• PQ and PR have the same length, so the slopes must be equal.

• The lengths of the corresponding legs of the two triangles are proportional because they are similar, so the slopes must be equal.

• The horizontal distance from P to Q is 2 units, but the vertical distance is 4 units, so the slopes can't be equal.

• The short leg of the large triangle is the same length as the long leg of the small triangle, so the slopes cannot be equal.

Find the value of x. Type only the value, not x =

Mathematical Equivalence

OFF

Find the length of DF.

Solve.

c

d

f

10 in

different

congruent/equal

15 in.

9 in.

similar

Answer explanation

These are ​ (a)   triangles because they have the ​ (b)   shape but ​ (c)   size. The sides are ​ (d)   .

• similar

• congruent

• same

• different

• proportional

Find the value of x.

Type the value only, not x =

Mathematical Equivalence

ON

• are

• are not

• congruent

• proportional