Scale
Solving Proportions
Similar Figures
Congruency
Unit Vocab
100

Scale: 3.75 in: 6.45 cm

Model: ________ cm

Actual: 35 in

63 cm

100

Solve for x.

x = 14

100
There is a rectangular picture frame that has a width of 2 ft and length of 3 ft. A similar rectangular picture frame has a length of 4.2 ft. What is the width?
2.8 ft
100
Are there any congruent figures in the American Flag?
Yes - the stars are all congruent; 1/2 stripes are congruent.
100

The proportion used to determine the new size of a drawing or model.

Scale factor

200

Scale: 6 ft : 2 m

Model: _______ ft

Actual: 39 m

117 ft

200

Solve for d.

d = 66

200
A palm tree casts a shadow that is 44 feet long. A 6 ft ladder casts a shadow of 16 feet long. What is the height of the palm tree?
16.5 ft
200
You have a penny and a dime that both landed on heads after you flipped them. Are there any congruent figures?
No
200

Matching angles are equivalent to each other.

Corresponding angles

300

Scale: 1 cm : 24 cm

Conversions: 1 in = 2.54 cm, 1 ft = 12 in

Model: _______ cm

Actual: 68 ft

86.4 cm

300

Solve for a.

a = 24

300
Kareem and Julio have rectangular model train layouts that are similar to each other. Julio's layout is 4 ft by 7 ft. Kareem's layout is 6 ft wide. What is the length of Kareem's layout?
10.5 ft
300
Triangle A has side lengths of 10 m, 22 m, and 14 m. Triangle B has side lengths of 22 m, 10 m, and 14 m. Are these two triangles congruent?
Yes
300

Figures that are the same shape, but not necessarily the same size.

similar figures

400

Scale: 1 cm : 13.3 cm

Conversions: 1 in = 2.54 cm, 1 ft = 12 in

Model: 24 cm

Actual: ________ ft

10.5 ft

400

Solve for e.

e = 8.8

400
A 6 ft tall adult casts a shadow that is 15 ft long. What is the height of a child who casts a 10 ft. shadow?
4 ft
400
Quadrilateral A has dimensions of 15 ft by 6 ft. Quadrilateral B has dimensions of 15 ft by 6 ft. Are these two quadrilaterals always going to be congruent? Why or why not?
No because we don't know if the two quadrilaterals have the same angles.
400

A proportional two-dimensional drawing of an object.

scale drawing

500

A cartographer creates a map of Bucks County with a scale factor of 1 in = 2.5 miles. The distance between Quakertown and Sellersville is 2.92 inches on the map. Determine the distance between the two boroughs.

7.3 miles

500

Solve for m.

m = 6.3

500
An architect is building a model of a tennis court for a new client. On the model, the court is 6 in wide and 13 in long. An official tennis court is 36 ft wide. What is the length of a tennis court?
78 ft long
500
Triangle ABC is congruent to Triangle DEF. If the side lengths for Triangle ABC are 8 in, 10 in, and 6 in, what is the length of side DE if the other two sides are 10 in and 6 in?
8 in
500

Having the same shape and size.

Congruent

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