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Test your mathematical skills with this quiz on rules for figures and shapes. Determine similarities, scale factors, and missing parts in triangles and trapezoids. Can you find the correct answers?
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600 Would the following rule make a figure similar to MUG? • Yes • No Rule: ( 3x, 3y) Similar 3 times wider 3 times taller Since the figures are similar, The corresponding angles are congruent!!
200 Would the following rule make an image similar to MUG? N0 (2x + 3, 3y) • Yes • No 2 times wider 3 times taller The x-value and the y-value are not MULTIPLIED by the same number!! Moves 3 spaces to the right Are the corresponding angles congruent?
300 In the rule below, what does the 5y do to the image? Rule: ( 7x + 4, 5y) • Makes the image 5 times wider • Makes the image 5 times taller • Moves the image 5 units to the right • Moves the image 5 units up
400 Which of the following statements about the rule below is false? Rule: ( 8x - 2, 7y + 6) The image is… • 8 times wider • Moves 2 units to the left • Moves 6 units down • 7 times taller Moves 6 units up
500 What does the -2 do to the original figure? Rule: ( 8x - 2, 7y + 6) • Makes the image 2 times taller • Makes the image 2 times wider • Moves the figure 2 spaces down • Moves the figure 2 spaces left
100 What is the scale factor from triangle A to triangle B? • 3 • ⅓ • 9 • ⅔ The triangles are similar 13 cm A 39 cm B 15 cm 45 cm 45 ÷ 15 = 3 x 3
12 m 200 What is the scale factor from Circle A to Circle B? All circles are similar • 9 • ¼ • 4 • ⅟9 x ¼ 3 cm 3 ÷ 12 = .25 B A
MUG (x, y) 600 How does the area of the image change compared to Mug if the rule (7x + 2, 7y - 1) is applied to Mug? • 7 times larger • 14 times larger • 49 times larger • 17 times larger The area factor = Scale factor² The scale factor = 7 The area factor = 7² = 49
400 Squares A and B are similar. The dimensions of square A are 4 inches by 4 inches. The area of square B is 400 square inches. What is the scale factor from square B to square A? • 16 • 5 400 sq. in. B A 20 in 4 in 4 in 20 in 4 ÷ 20 = .2
500 The area of figure A is 25 square inches. The area of figure B is 100 square inches. What is the scale factor from figure B to figure A ? • 4 • 2 Figure A and B are similar Figure B 100 sq. in. Figure A 25 sq. in. AF = 25 ÷ 100 =.25 = What number x itself =
100 CROCs What is the CROC and the starting value? • CROC = 5, SV = 0 • CROC = 3, SV = 0 • CROC = 3, SV = 5 • CROC = 1, SV = 5 CROC As x increases by 1, y increases by ___ SV When x = 0, y = ___
600 CROCs What is the CROC and the starting value? • CROC = 1, SV = 3 • CROC = 2, SV = 0 • CROC = 2, SV = 3 • CROC = 2, SV = 1 CROC As x increases by 1, y increases by ___ SV When x = 0, y = ___
300 CROCs What is the CROC and the starting value? • CROC = 4, SV = 7 • CROC = 4, SV = 0 • CROC = 2, SV = 0 • CROC = 2, SV = 7 CROC As x increases by 1, y increases by ___ SV When x = 0, y = ___
400 CROCs What is the CROC and the starting value? • CROC = 3, SV = 1 • CROC = 6, SV = 7 • CROC = 2, SV = 7 • CROC = 2, SV = 1 CROC As x increases by 1, y increases by ___ SV When x = 0, y = ___
500 CROCs What is the CROC and the starting value? • CROC = 2, SV = 51 • CROC = -2, SV = 55 • CROC = -6, SV = 51 • CROC = -2, SV = 51 CROC As x increases by 1, y increases by ___ SV When x = 0, y = ___
100 Missing parts Find the length of the missing side? x 2.5 • 12.5 in • 11 in • 9.5 in • 15 in ? 5 in 10 in 4 in 3 in 7.5 in 7.5 ÷ 3 = 2.5 SF = 2.5
200 Missing parts Find the length of the missing side? • 10.5 in • 7 in • 14 in • 28 in x .5 14 in x 3.5 in 7 in 3.5 ÷ 7 = .5 SF = .5
300 Missing parts The triangles are similar. Find the length of the missing side? • 10.5 in • 7 in • in • 9.2 in x 2.3 x 4 cm 4 cm 5 cm 5 cm 30° 60° 60° 3 cm 3 cm 11.5 cm 11.5 ÷ 5 = 2.3 SF = 2.3
400 Missing parts The trapezoids are similar. What is the measurement of side x? • 53.3 m • 7.5 m • 11.25 m • 12.5 m x .375 x 20 m 20 m 14 m 14 m 5.25 m 5.25 ÷ 14 =.375 SF = .375
500 Missing parts What is the measurement of angle x? • 100 ° • 120 ° • 60 ° • 180 ° 60° x 60° Opposite angles in a parallelogram are congruent The sum of the 4 angles in a parallelogram = 360° 360° -(60° + 60°) = 240 ° Opposite angles in a parallelogram are congruent 240 ° ÷ 2 = 120° for angle x
100 Little bit Where is Justin Bieber originally from? • Atlanta, Georgia • Ontario, Canada • Baltimore, Maryland • San Diego, California
200 Little bit True or False---Mosquitoes have teeth. • True • False
300 Little bit Where was Taylor Swift born? • Nashville, Tennessee • Hollywood, California • Reading, Pennsylvania • Hartford, Connecticut
400 Little bit The Baby Ruth candy bar was named after baseball player Babe Ruth. TRUE OR FALSE? • True • False The Baby Ruth candy bar was actually named after Grover Cleveland's baby daughter, Ruth.
500 Little bit What was the name of Batman's butler? • Alan • Barnaby • Alfred • James
Participant Scores Back to the game
Team Scores Back to the game
600 Justin Bieber’s middle name is … • Drew • Donald • Scott • Anthony
600 True or False?Tigers have striped skin, not just striped fur. • True • False
200 SpongeBob has a pet snail. What is the snail’s name? • Sammy • Steven • Susie • Gary
300 South Park Elementary school’s mascot is... • Donkey • Cow • Pig • Chicken
100 What super hero’s everyday name is Clark Kent? • Superman • Batman • Spiderman • Aquaman