Vocabulary
An equation that states that two ratios or rates are equivalent
What is a proportion?
Simplify:
50 inches: 75 inches
2⁄3
c⁄100 = 32⁄40
c = 80
A drawing of Montezuma Cortez Middle School has a scale of 1 inch = 6 feet. What is the scale factor of the drawing?
1⁄72
Refer to Drawing 1.
Which of the rectangles is similar to rectangle ABCD?
Rectangle PQRS is similar to rectangle ABCD.
The products of the numerator of one ratio and the denominator of the other ratio. One diagonal multiplication equals the other.
What are cross-products?
Simplify:
40 minutes: 80 minutes
1⁄2
92⁄100 = x⁄150
x = 138
A model train has a scale of 1 inch = 4 feet. What is the scale factor for the model train?
1⁄48
Refer to Drawing 2.
Which triangle below is similar to triangle FGH?
Triangle ABC is similar to triangle FGH.
Figures that have the same shape but not necessarily the same size.
What are similar figures?
Simplify:
60cm⁄2m
3⁄10
p⁄525 = 12⁄75
p = 84
An architect's blueprint for a new house shows the kitchen as 7 inches wide. If the scale used to create the blueprint is 0.5 in. = 1 ft., what is the actual width of the kitchen?
The kitchen is 14 feet wide.
Refer to Drawing 3.
The two triangles are similar. Find the value of x.
x = 6km
Always, Sometimes, Never:
The corresponding angles are ___ congruent in similar figures.
Always
Simplify:
4 hours: 2 days
1⁄12
4⁄5 = x-3⁄10
x=11
A map of Cortez, CO has a scale of 1 inch to 5 miles. If the city is 0.75 inches across on the map, what is the actual distance across Cortez?
Cortez is 3.75 miles across.
Refer to Drawing 4.
The trapezoids are similar. Find the value of x.
x = 10 ft.
The ratio (fraction) that compares the measurements of one figure to the corresponding measurements of another.
What is a scale factor?
Simplify:
20 feet⁄4 yards
5⁄3
12⁄7 = 96⁄y+2
y=54
A model of a tree is made using a scale of 1 inch = 25 feet. What is the height of the actual tree if the height of the model is 4 inches?
The tree is 100 feet tall.
Refer to Drawing 5.
The triangles are similar. Write a proportion and solve the problem. What is the height of the basketball hoop?
x = 12 ft.