unit 5 review. question 1 a transformation where a geometric figure is reduced or enlarged in the...
Post on 15-Dec-2015
216 Views
Preview:
TRANSCRIPT
QUESTION 1
A transformation where a geometric figure is reduced or enlarged in the coordinate plane is called a _____________________
QUESTION 4
One vertex of a triangle on the coordinate plane has the ordered pair of (32, 16). The rectangle undergoes a ¼ dilation. What would be the new coordinates of the corresponding vertex?
Question 5
• Cheryl wants to dilate a photograph that has a width of 17.5 inches and a length of 24.5 inches to fit into a frame that is 7 inches in length. What will be the width of the new photograph?
#5 - answer
5 inches
You can set up a proportion. Or, you can divide 24.5 by 7, which equals 3.5. Then, divide 17.5 by 3.5.
Question 6
• Stacey decides to dilate the area of her rectangular garden. The length of her original garden is 10 feet and the area is 45 square feet. The length of the new garden will be 15 feet. What is the area of the new garden?
#6 - answer
101.25 ft²
A = 45 ft²
10 ft 15 ft
A = 101.25 ft²4.5 ft 6.75 ft
Scale Factor = 1.5Area Scale Factor = 2.25
Question 11
• A vertex of a rectangle on the coordinate plane is (-4, -2). The rectangle is dilated and the new coordinate of the vertex is
(-2, -1). What was the scale factor of the dilation?
Question 13If triangle ABC ~ triangle JPH. Which
proportion can be used to find the value of x? A
BC
J
PH12
15
66
x
Question 14
Determine the scale factor from the reduction of the first figure to the second figure.
53
#15 - answer
Area = 8
*scale factor is 4/16 or ¼. 8 times ¼ = 2. Therefore, x = 2.
Area = length times width
8 = 2 • 4
Question 20
A flagpole is 28 ft tall and has a shadow of 20 ft. How tall is a nearby tree if its shadow is 30 ft?
Question 21
Triangle ABC ~ to triangle WXY. Use the diagram to find the perimeter of triangle ABC.
A
B C
W
X Y
5 m
3 m
4 m
21 m
#21 - answer
The area of the large triangle is 84 m.
*3 • 7 = 21 Therefore, the scale factor is 7.
4 • 7 = 28 and 5 • 7 = 35.
Add the sides of the large triangle to get the perimeter. 28 + 35 + 21 = 84 m.
Question 23
One vertex of a triangle on the coordinate plane has the ordered pair of (24, 16). The triangle undergoes 1/8 dilation. What would be the new coordinates of the corresponding vertex?
Question 24
• Brooke is 5 ft tall. She and her class are walking through a wooded area looking for a tree that is 50 ft. tall. If the length of Brooke’s shadow is 2 ft, how will the students know when they have found a 50 ft tree?
Question 25
• A shrub is 1.5 meters tall and casts a shadow 3.5 meters long. At the same time, a radio tower casts a shadow 98 meters long. How tall is the radio tower?
Question 26
Linda wants to enlarge a 5 inch by 7 inch photograph that will fit into a frame that is 21 inches long. What is the width of the new photograph?
top related