Similar Triangles Solve Proportions

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Tags

CCSS.HSG.SRT.A.2

Solve the proportion.

• k=5

• k=3.3333333

• k=60

• k=90

Tags

CCSS.7.G.A.1

Solve the proportion.

• q=2

• q=9

• q=4.5

• q=6

Tags

CCSS.7.RP.A.2B

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

• Congruent

• Vertical

• Similar

• Complementary 

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

In triangles ABC and DEF, angle B is congruent to angle E and angle C is congruent to angle F. If BC = 10 cm and EF = 20 cm, what is the ratio of the area of triangle ABC to triangle DEF?

• 1:2

• 1:4

• 2:1

• 4:1

Answer explanation

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths. Since EF:BC = 2:1, the ratio of the areas of triangle DEF to triangle ABC is 1:4.

Solve for x

• 1/2

• 25/8

• 11

• 53/4

Tags

CCSS.7.EE.B.4A

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 

• proportional, congruent 

• congruent, congruent

• proportional, proportional

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is the value of x?

• 16

• 12

• 4

• 64

Tags

CCSS.HSG.CO.C.9

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

Tags

CCSS.HSG.CO.C.9

Find x.

• 54/7

• 56/3

• 11

• 21/2

Tags

CCSS.HSG.SRT.A.2