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Proportional
Solving Proportions
Similar Figures
Congruency
Unit Vocab
100
Are 3/4 and 24/32 proportional?
Yes
100
Solve: 2/5 = x/35
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 ratio USED to enlarge or reduce similar figures
Scale factor
200
Are 5/6 and 15/18 proportional?
Yes
200
Solve: 2/11 = 12/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

Method of solving missing sides of similar figures and proportions to find a measure

cross multiply

Constant of proportionality

300
Are 10/12 and 20/32 proportional?
No
300
Solve: 3/8 = a/64
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

Which transformation results in similar figures

dilation

400
Are 9/10 and 45/50 proportional?
Yes
400
Solve: e/22 = 6/15
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

The matching sides of two similar figures

corresponding

500
Jeremy earns $234 for 36 hours of work. Miguel earns $288 for 40 hours of work. Are the pay rates of these two people proportional?
No; Jeremy earns $6.50 per hour, Miguel earns $7.20 per hour.
500
Solve: 28/9 = 19.6/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

The part of similar triangles that are congruent 

angles