Similar Figures and Triangles

Which of the following pairs of figures are similar?

• Two rectangles, one with sides 2 cm and 4 cm, the other with sides 3 cm and 5 cm

• Two squares, one with side 3 cm and the other with side 6 cm

• Two circles, one with radius 2 cm and the other with radius 3 cm

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which of the following is the correct statement of the AA similarity criterion for triangles?

• Two triangles are similar if all three sides are proportional.

• Two triangles are similar if two corresponding angles are equal.

• Two triangles are similar if two sides are proportional and the included angle is equal.

• Two triangles are similar if all three angles are equal.

Tags

CCSS.HSG.SRT.A.2

• AA

• SAS

• SSS

• None

Tags

CCSS.HSG.SRT.B.5

If two triangles have two pairs of sides in the same ratio and the included angles are equal, which similarity criterion applies?

• AA

• SAS

• SSS

• ASA

Tags

CCSS.HSG.SRT.B.5

A tree casts a shadow 15 meters long. At the same time, a 2-meter stick casts a shadow 3 meters long. How tall is the tree?

• 5 m

• 8 m

• 10 m

• 12 m

Tags

CCSS.HSG.SRT.B.4

Given two similar triangles, the sides of the first triangle are 3 cm, 4 cm, and 5 cm. If the longest side of the second triangle is 15 cm, what is the length of the shortest side?

• 6 cm

• 7 cm

• 8 cm

• 9 cm

Tags

CCSS.HSG.SRT.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

If two figures are similar, the corresponding sides are ______________.

• equal
• congruent
• proportional
• none of these

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which triangle is similar to the top?

• 
• 
• 
• 

Tags

CCSS.HSG.SRT.A.2

How do these triangles appear to be similar?

(Hint: Look for non-labeled parts!)

• AA~

• SAS~

• SSS~

• Not Similar

Tags

CCSS.HSG.SRT.B.5