SIMILAR FIGURES TRASHKETBALL 7 th Grade Math Team

RULES OF TRASHKETBALL Answer the question that appears on the screen. All members of the group must participate. All white board answers must be the same. Everyone in the group gets a turn to shoot. If it is not your turn to shoot you are seated. Each team gets three shots per round. If you do not get the question correct as a group your group does not shoot!! RED cup still working GREEN cup ready to check

LOSS OF POINTS Shooting out of turn When its not time to shoot Playing and inappropriate behavior Bad sportsmanship

ANY QUESTIONS?

QUESTION 1 Trapezoid ABCD is similar to trapezoid RSTU. What equation can be used to find the length of side ST?

QUESTION 1 ANSWER D.

QUESTION 2 • Are the polygons similar or not similar?

QUESTION 2 ANSWER Not Similar

QUESTION 3 Stefano holds up an 8 -inch pencil 32 inches from his eye. The pencil fills the image of a sculpture that is 40 feet away. How tall is the sculpture? 10 feet 14 feet 8 feet 16 feet 22 feet

QUESTION 3 ANSWER • 10 feet

QUESTION 4 • Ear pair of polygons in similar. Determine the missing side.

QUESTION 4 ANSWER • 4 mm

QUESTION 5 • You are standing 21 feet from a tree. You have a 25 -inch stick you are holding 35 inches from your eye. You see that the top of the tree exactly matches the top of the stick you are holding. The bottom of the stick exactly matches the bottom of the tree. How tall is the tree? • 14 feet 46 feet 15 feet 17 feet • •

QUESTION 5 ANSWER 15 feet

QUESTION 6 The length of a rectangle is 12 centimeters and the width is 5 centimeters. A similar rectangle has a width of 3 centimeters. What is the length of the second rectangle?

QUESTION 6 ANSWER 7. 2 centimeters

QUESTION 7 • Are the polygons similar or not similar?

QUESTION 7 ANSWER Not similar

QUESTION 8 Mary is 70 inches tall and casts a 28 -inch shadow. Her daughter, who is standing next to her, casts a 17 -inch shadow. How tall is her daughter?

QUESTION 8 ANSWER 42. 5 inches

QUESTION 9 Are the polygons similar or not similar?

QUESTION 9 ANSWER Not similar

QUESTION 10 Determine the missing side of the similar figures.

QUESTION 10 ANSWER 10. 5 inches

QUESTION 11 The length of a rectangle is 22 centimeters and the width is 4 centimeters. A similar rectangle has a width of 6 centimeters. What is the perimeter of the second rectangle?

QUESTION 11 ANSWER 78 centimeters

QUESTION 12 In the figure, triangle ABC is similar to triangle DEC. Determine the distance from point D to point E.

QUESTION 12 ANSWER 90 yards

QUESTION 13 A telephone pole casts a shadow that is 20 feet long. At the same time, a 5 -foot-tall woman standing on a 1. 5 -foot-tall podium next to the telephone pole casts a shadow that is 15 feet long. How tall is the telephone pole?

QUESTION 13 ANSWER 8 and 2/3

QUESTION 14

QUESTION 14 ANSWER J.

QUESTION 15

QUESTION 15 ANSWER B. is not true

QUESTION 16

QUESTION 16 ANSWER D.

QUESTION 17

QUESTION 17 ANSWER J. similar

QUESTION 18 How high is the ramp when it is 2 feet from the building?

QUESTION 18 ANSWER 12. 5 or 1/8

QUESTION 19

QUESTION 19 ANSWER 21. 42 estimate

QUESTION 20 Determine the coordinates of the vertices of each figure after a dilation with the given scale factor k. S(– 2, 1), U(0, 1), N(– 1, – 1); k = 4