Scale Models and Similarity

The straight-line distances between Houston and several cities on a map of Texas are shown in the table. The scale is 2 cm:50 mi. Find the actual distances in miles.
Answers are for Austin and Galveston (respectively).

• 145 miles and 47.5 miles

• 317. 5 miles and 145 miles

• 145 miles and 47.5 miles

• 225 miles and 145 miles

Tags

CCSS.7.G.A.1

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

• x = 20

• x = 12

• x = 5

• x = 4

Tags

CCSS.HSG.SRT.A.2

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

Find missing side

• 5

• 7

• 9

• 11

Tags

CCSS.HSG.SRT.A.2

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

Tags

CCSS.HSG.SRT.B.5

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?

• 3 in

• 2 in.

• 4 in

• 1 in

Tags

CCSS.7.G.A.1

What is the scale factor if the triangle on the left is the original?

• 2

• 3/2

• 2/3

• 1/2

Tags

CCSS.7.G.A.1

What is the scale factor?

• 4

• 25

• 5

• 6

Tags

CCSS.7.G.A.1

What is the scale factor from the small shape to the big shape?

• 1/2

• 7/3

• 2

• 10/3

Tags

CCSS.7.G.A.1

What is the scale factor from the smaller triangle to the larger?

• scale factor = 3:2

• scale factor = 1:4

• scale factor = 2:3

• scale factor = 5:3

Tags

CCSS.7.G.A.1