Chapter 7 : Congruence & Similarity

Solve 21/48 = 14/r.

• 8

• 6.125

• 32

• 16

Tags

CCSS.7.G.A.1

Solve 3/8 = c/12

(a)  

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Determine if the two figures are congruent by using transformations. If so, explain the transformation or transformations that map the first figure onto the second figure.

(a)  

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Determine if the two figures are congruent by using transformations. If so, explain the transformation or transformations that map the first figure onto the second figure.

• not congruent

• congruent; translation

• congruent; a reflection followed by a translation

• congruent; a clockwise rotation of 90° followed by a translation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Determine if the two figures are similar by using transformations.

• Similar; a reflection and a dilation map one figure onto the other

• Similar; a rotation and a dilation map one figure onto the other.

• Similar; a translation and a dilation map one figure onto the other.

• The figures are not similar.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Determine if the two figures are similar by using transformations.

• The figures are not similar.

• Similar; a rotation and a dilation map one figure onto the other.

• Similar; a reflection and a dilation map one figure onto the other.

• Similar; a translation and a dilation map one figure onto the other.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Determine whether the triangles are similar. If not, explain why not.

(a)  

Tags

CCSS.HSG.SRT.A.2

Triangle ABC ~ Triangle DEF. Each side of Triangle ABC is 1.5 times longer than the corresponding sides of Triangle DEF. If the perimeter of Triangle ABC is 36 centimeters, what is the perimeter of Triangle DEF?

• 54 cm

• 24 cm

• 18 cm

• 12 cm

The two triangles shown in the figure are similar. Find the distance d across the river.

• 81 m

• 25 m

• 18 m

• 16 m

Tags

CCSS.HSG.SRT.B.5

A staff's shadow is 8 feet and a tree's shadow is 16 feet. If the staff is 9 feet tall, how tall is the tree?

Remember to use the correct unit of measure.

(a)  

Tags

CCSS.HSG.SRT.B.4