Corresponding Sides/ Proportions
What do we call sides that are in the same position in similar shapes?
Corresponding Sides
If the area of a circle is 48 square inches, what is the approximate radius of the circle? Round to nearest tenths.
The radius is approximately 3.91.
Create an equation that can be used to find the measure of each angle in the triangle.
Angle A= 5x+4
Angle B= 13x-4
Angle C=2x
5x+4+13x-4+2x = 180
What is the term for two ratios that are equivalent?
Proportional
What are both the formula of a trapezoid ?
A= 1/2(b+b)h
A=(b+b)h/2
If one side of a triangle is 4.25 and its corresponding side in a similar triangle is 12.75, what do you do to 4.25 to get 12.75?
Multiply by 3
A circular fountain has a circumference of 35 feet. Which expression can be used to find the diameter of the fountain in feet?
A. 35/pi
B. 35pi
C. 35/2pi
D. 35(2pi)
A. 35/pi
Create an equation that can be used to find the measure of each angle in the triangle below.
3x+2x+10x-6=180
If a backyard has a width of 3 and a similar backyard has a width of 6, what is the scale factor?
2
What is the formula for a rectangle?
A = bh
Triangle DEF is similar to triangle LMN. Which equation CANNOT be used to find the length of line segment LM ?
Answer choice A.
What measurement is closest to the area of the circle in square miles?
The area of the circle is_____________ because A=_______________________
The area of the circle is 113.04 square miles because A=_(3.14)(6)(6).
Create an equation to solve of x.
2x+10+50+30=180
Roland created a scale drawing of his backyard. In the scale drawing, 1 inch represents 8 yards. The length of back fence on the scale drawing is 5 and 2/4 inches. What is the actual distance of the back fence?
A. 40 1/2 Yards
B. 12 1/2 Yards
C.40 Yards
D. 44 Yards
D. 44 Yards
A diagram of Jordan's backyard is shown.
What is the area of the backyard?
250
The two images below are similar. Which proportion can be used to calculate the length
of AB in inches? Select TWO correct responses.
A. AB/7 = 14/4
B. 7/14 = AB/4
C. 7/AB = 14/4
D. AB/7 = 4/14
E. 14/AB = 4/7
A. AB/7 = 14/4 and E. 14/AB = 4/7
The diameter of a circular wheel is 22 inches.
Which of the following is closest to the area of the wheel in square inches?
A. 379.94 in2
B. 69.08 in2
C. 121 in2
D. 2122.64 in2
A. 379.94 in2
Create an equation to solve for x
Mackenzie created a scale drawing of his backyard. In the scale drawing, 1 inch represents 6 yards. The length of back fence on the scale drawing is 7 and 3/4 inches. What is the actual distance of the back fence?
46.5 yards
What is the area of the figure?
A = 82.5 cm2
Triangle FGH is similar to triangle JKL. Use a proportion table to find the missing side lengths.
x= 40, y=30
The diameter of a circular wheel is 36 inches.
Which of the following is closest to the area of the wheel in square inches?
A. 113.04 in2
B. 4,069.44 in2
C. 56.52 in2
D. 1,017.336 in2
D. 1,017.336 in2
What is the angle measurement for the two missing angles ?
56 degrees and 74 degrees
Ms. Williams created a scale drawing of her classroom. In the scale drawing, 1 inch represents 12.25 yards. The length of classroom on the scale drawing is 8 and 2/4 inches. What is the actual distance of the classroom?
104.125 Yards
What is the area of the shaded region in the figure?
A= 104.06cm2