GEOM B Unit 2
Red and gray bricks were used to build a decorative wall. The number of red bricks number of gray bricks was 5/2 . There were 175 bricks used in all. How many red bricks were used?
125
A model is made of a car. The car is 9 feet long, and the model is 6 inches long. What is the ratio of the length of the car to the length of the model?
18:1
The lengths of the sides of a triangle are in the extended ratio 3:10:12. The perimeter is 400 cm. What is the length of the longest side in centimeters?
192 cm
Which could be the scale factor of the following similar figures?
2/3, 3/2
Michele wanted to measure the height of her school's flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backward until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot.
20 ft
A salsa recipe uses green pepper, onion, and tomato in the extended ratio 1 : 3 : 9. How many cups of onion are needed to make 117 cups of salsa?
27
What is the geometric mean of 7 and 12?
2√21
What is the value of x?
2√3
What is AD/AB in simplest form?
3
What is the value of x in the proportion (x-1)/5=(4x+2)/35?
3
What is the solution to the proportion? 3y-8/12=y/5
3y-8/12 = y /5 5( 3y - 8) = 12y 15y -40 =12y 15y -12y =40 3y=40 y=40/3 y=13.33
What is SLOPE OF BE/SLOPE OF AE in simplest form?
4
What is the value of x in the proportion x+1/x+3=15/21?
4
Plots of land between two roads are laid out according to the boundaries shown. The boundaries between the two roads are parallel. What is the length of Plot 3 along Cheshire Road?
46 2/3
What is the value of x?
5
Find the geometric mean of 275 and 11.
55
The rectangles in the figure below are similar. Find the value of x.
6
You want to draw an enlargement of a design that is printed on a card that is 4 in. by 5 in. You will be drawing this on an piece of paper that is 8 1/2 in. by 11 in. What are the dimensions of the largest complete enlargement you can make?
8 1/2 in. by 10 5/8 in.
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the triangle is 6.9 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter.
8.3 cm, 5.8 cm
The two rectangles are similar. Which is the correct proportion for corresponding sides?
8/4 = 24/12
Which segment of the hypotenuse is adjacent to AB?
BE
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. The diagram is not drawn to scale.
SSS, small triangle is 3:1 with large triangle.
Lesson 1 practice The ratio of m∠PQR to m∠PQS is 5 : 9. What is m∠RQS? 40°. The ratio of m∠WXZ to m∠ZXY is 11 : 25. What is m∠ZXY? 125°. The ratio of the width to the length of a rectangle is 4 : 5 if the area of the rectangle is 500 square centimeters, what is the length of the rectangle? 25 centimeters. The sides of a triangle are in the extended ratio 2:6:7. If the perimeter of the triangle is 45 inches, then 6 inches The measures of the angle of a triangle are in the extended ratio 17 16 12. What is the measure of the largest angle? 68° What is the value of x in the proportion 2x+7/3x-4=11/2? 2 What is the value of x in the proportion 6x+1/7=18x-2/14? 2/3 John, Alana, and Jesus are sharing a bag a candy in the extended ratio 2:3:4. If there are 63 candies in the bag, then how many will Alana get? 21 Which of the following are equivalent to the ratio 3ab:27ab? Select all that apply. 1:9, 9a:81a, 2:18 Which of the following are equivalent to ratio (2x-6):(6x-4) x-3:3x-2, (4x-12):(12x-8)
W
Jason wants to walk the shortest distance to get from the parking lot to the beach. a. How far is the spot on the beach from the parking lot? b. How far will he have to walk from the parking lot to get to the refreshment stand?
a. 24 meters b. 40 meters
Given the proportion a/b=8/15, what ratio completes the equivalent proportion a/8=?
a/b=8/15 First multiply b on both sides a/b × b=8/15 × b Then divide 8 on both sides a ÷ 8=8b/15 ÷ 8 a/8=b/15
What are the values of a and b?
a=9/2, b=15/2
Are the two triangles similar? How do you know?
all angles equal 180 which makes them similar.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
http://openstudy.com/updates/4ff7056de4b01c7be8c9cb50
Which of the following transformations are rigid motions?
reflection, rotation, translation
LO bisects NLM, LM = 18, NO = 4, and LN = 10. What is the value of x?
x = 71.87
What is the value of x in the diagram below?
x=4√70
What similarity statement can you write relating the three triangles in the diagram below?
ΔUVW ~ ΔUWT ~ ΔWVT
Which similarity statement is true?
ΔWYZ ~ ΔWZX ~ ΔZYX
