BINGO Chapter 8
#1 When a 10 foot garden shed casts a 5 foot 3 inch shadow, a house casts a 24 foot shadow. Find the height of the house.
#2 The scale model for the building has a height of 5 inches and a width of 3 inches. If the actual building is 20 feet tall, how wide is it?
#3 Name the theorem or postulate that can be used to prove that these triangles are similar.
#4 Determine if the triangles are similar. Justify your answer.
#5 Determine if the triangles are similar. Justify your answer.
#6 If quadrilateral DEFG ~ quadrilateral WXYZ, find the measure of angle W.
#7 Find the value of x.
#8 Find CE.
#9 Are the triangles similar? If so, write a similarity statement and find the scale factor from left to right.
#10 Solve the proportion. 2𝑥 5 = 𝑥+7 4
#11 Solve the proportion. 2𝑥−3 4 = 4𝑥+2 5
#12 Find the value of x.
#13 The scale of a map is 0.5 inch : 20 miles. On the map, the distance between two cities is 1.5 inches. What is that actual distance between the two cities?
#14 Find the value of x.
#15 𝐴𝐷 bisects angle A. Find the value of x.
#16 ΔABC ~ ΔEFG. AB = 12, AC = 6, EG = 3, and FG = 5. Find the scale factor of ΔABC to ΔEFG.
#17 Identify the similar triangles and find the value of x.
#18 Identify the similar triangles, and find the value of x.
#19 Find the value of x.
#20 By what theorem can the triangles be proved similar? Write a similarity statement.
#21 $1= .75 euros. How many dollars is 550 euros?
#22 Find the value of x.
#23 Is the following picture a reduction or enlargement?
#24 A certain triangle has vertices A(3,0), B(-1,2) and C(5,3). What are the coordinates of the vertices of the image if it is dilated with the scale factor k=3?