1.) Find the missing length for each shape. Make sure you correctly identify
corresponding parts. Assume that all shapes are similar.
2.) Find the missing length for each shape. Make sure you correctly identify
corresponding parts. Assume that all shapes are similar.
3.) Find the missing length for each shape. Make sure you correctly identify
corresponding parts. Assume that all shapes are similar.
4.) Find the missing length for each shape. Make sure you correctly identify
corresponding parts. Assume that all shapes are similar.
5.) Cara is 5 feet tall and casts a shadow 8 feet long. At the same time, a building
casts a shadow 32 feet long. What is the height of the building? (Hint: try to
draw a picture).
6.) The distance, d, across a lake cannot be directly measured, so a land surveyor
used known distances to draw the diagram below. What is the value of d? Explain
how you found your answer.
7.) The ratio of the following similar triangles is 2:1(HINT: this means the scale
factor is ½)
D
R
T
G
E
P
a) If RT = 2.5 cm, what is the length of EG?
b) If the measure of <R = 60, what is the measure of <G?
8.) The dining room at Monticello, Thomas Jefferson’s home in Virginia, is 216
inches by 222 inches. Of the following, which size rug would be similar in shape to
the dining room? (Remember to set up proportions to compare the lengths!)
a)
84 inches by 96 inches
b)
108 inches by 110 inches
c)
118 inches by 111 inches
d)
72 inches by 74 inches
9.) Rectangle A has a width of 3.6 meters and a length of 7.2 meters.
Rectangle B is similar to rectangle A and has a width of 1.8 meters. What is
the length of rectangle B? (HINT: Draw the rectangles!)
10.) Euros are currency used in several European countries. On one day in October
2005, you could exchange $3 for about 2.5 Euros. How many dollars would you
have needed to get 8 Euros?
11.) Use the following similar triangles to answer the questions below.
a) What is the ratio of corresponding sides?
b) What is the corresponding side to line segment TH?