Angles & Triangles
When looking at Triangle ABC- <A=(2x-5) <B=x <C=62.
What is the equation to solve this problem?
What is the angle measure for <B?
180=3x+57
<B=41 degrees
12.56cm^2
The photo in #21 on your test review is being enlarged to form a 24 by 30 inch print. What is the scale factor being used to enlarge it?
6
Triangle ABC and triangle AED are similar. Draw a picture and then write a proportion to prove their similarity.
AB is congruent to AE
AC is congruent to AD
CB is congruent to DE
Determine the area of the figure on #15 in your review packet.
90m2
When looking at an isosceles triangle, only ONE angle has a measure of 75 degrees. What is the measure of the other two angles?
52.5 degrees
A baby monitor picks up signals within a 50 meter radius. How many square meters of coverage does the baby monitor provide?
7,850 meters^2
Shelby drew a map of the Appalachian Trail. The scale was 5cm = 400km. The map shows the Appalachian Trail to be 43.75cm. What is the actual length of the trail?
3,500km
Pentagon QRSTU is similar to pentagon EFGHI, List the corresponding parts of the figures:
angle T:
line UQ:
line RS:
angle T = angle H
line UQ = line IE
line RS = line FG
The diagram on #16 in your test review shows a tile boarder (gray) that surrounds a kiddie pool. How many square feet does the tile boarder cover?
72ft2
A right triangle has an angle measure of 18.4 degrees. What is the value of x, the missing angle?
71.6 degrees
The area of a circle below is 28.26 ft. squared. What is the diameter?
6ft.
An architect is mocking up a community park design. The park will have a trail around the park that measures 3 miles. If the mock up of the trail is 12 inches, then what is the scale of the mock up?
4
The two trapezoids in question #25 are similar. What is the length of RS?
11.5m
MJHS is refinishing the basketball court and decided to paint everything shown below blue. How many square feet will be painted blue?
(Question #18 in test review)
189.25ft2
Triangle MNO is an isosceles triangle in which only one angle measures 88.6 degrees. What is the angle measure of one of the two congruent angles?
45.7 degrees
The circle in the center of a basketball court is being painted. The circle has a radius of 9 ft. What is the circumference of the circle?
56.52ft
Triangle ABC is shown in question #23 in your review packet. Its original lengths are multiplied by 150%. What is the new perimeter of A'B'C'?
75cm
The two triangles in question #26 are similar. What is the perimeter of triangle XYZ?
24cm
She shaded region represents new tile being replaced on a patio. If each square foot of tile costs $2.80, then how much will the tile cost?
(Question #19 in review packet)
$453.60
How many degrees do each of the following have?
Circle:
Triangle:
Right Angle:
Circle: 3600
Triangle: 1800
Right Angle: 900
A little girl stands on a carousel and rotates around the ride 6 times. If the distance between the little girl and the center of the carousel is 8 feet, then how many feet did the little girl travel?
301.44ft.
What operation do you use when given scale factor?
Multiplication
What is the difference between congruent and similar?
Congruent=same size, same shape
Similar=same shape, different size
Determine the area of the shaded region in question #20. Use 3 for Pi.
30.96in2