Identifying Triangles by Side Lengths

What kind of triangles are pictured?

• similar triangles

• congruent triangles

Tags

CCSS.8.G.A.2

The pair of figures is similar. Find the missing side.

• x = 1

• x = 3

• x = 9

• x = 5

Tags

CCSS.HSG.SRT.A.2

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

Tags

CCSS.HSG.SRT.A.2

What is the scale factor of triangle AED to ACB?

• 3/2

• 2

• 5/4

• 4/5

Tags

CCSS.7.G.A.1

Given that the following pairs of triangles are similar, determine the unknown values

• a= 32cm, b= 48cm

• a= 16cm, b= 16cm

• a= 24cm, b= 20cm

• a= 32cm, b= 24cm

• a= 24cm, b= 30cm

Tags

CCSS.HSG.SRT.A.2

The two triangles in the image are congruent. Pick the test that proves this.

• SSS

• SAS

• ASA

• RHS

Tags

CCSS.HSG.SRT.B.5

A 1.8 m tall AFL footballer is attempting to determine how high a goal post is. She notices that she casts a shadow of 1.1 m at the same time as the goal post casts a shadow of 6.5 m, as represented below:

• The goal post is 10.6 m high

• The goal post is 11.7 m high

• The goal post is 9.8 m high

• The goal post is 12.5 m high

Tags

CCSS.HSG.SRT.B.5

What are the practical applications of the AA similarity theorem?

• Calculating the area of a circle

• Solving equations in algebra

• The practical applications of the AA similarity theorem include solving problems in geometry, such as determining the similarity of two triangles and finding unknown side lengths or angles.

• Determining the boiling point of a substance

Tags

CCSS.HSG.SRT.A.2

Does a triangle with these side lengths exist?
15, 12, 9

• Yes

• No

Tags

CCSS.7.G.A.2

What is a possible third side to a triangle with side lengths of 13 and 4?

• 9

• 12

• 8

• 5