Similar shapes: matching sides and angles
Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
One row 25 | 10 for the matching sides, with a box for the multiplier from A to B. Jun copies a big model door (A) into a small model (B), similar shapes. A is 25 cm tall and B is 10 cm tall. What is the scale factor from A to B?
One row 16 | 10 for the matching sides, with a box for the multiplier from A to B. Luz shrinks a tent model (A) into a mini tent (B), similar shapes. A's pole is 16 cm and B's matching pole is 10 cm. What is the scale factor from A to B?
Noah compares two similar tent flaps. Triangle ABC is similar to triangle EFD. How many cm long is side FD?
Bo has similar roof triangles A and B. Every side of B is 2 times as long as A's. A has angles of 50° and 55°. How big is B's angle matching A's third angle?
Triangle A with two angles marked, 50° and 55°, and a third angle unmarked; triangle B with one angle marked ? (the picture is not printed to size). Triangle A with two angles marked, 50° and 55°, and a third angle unmarked; triangle B with one angle marked ? (the picture is not printed to size). Triangle A 50° 55° Not to scale. Triangle B ? Not to scale. Esme has similar sails A and B. Every side of B is 1.5 times as long as A's. A has angles of 35° and 60°. How big is B's angle matching A's third angle?
Triangle A with two angles marked, 35° and 60°, and a third angle unmarked; triangle B with one angle marked ? (the picture is not printed to size). Triangle A with two angles marked, 35° and 60°, and a third angle unmarked; triangle B with one angle marked ? (the picture is not printed to size). 35° 60° ? Triangle A Triangle B Not to scale. Luz cuts a small sail (A) and a bigger, similar sail (B), shown here. How many cm of rope go all the way around B's edge?
Triangle A with its three sides marked 6 cm, 8 cm and 10 cm; similar triangle B with the side matching A's 6 cm side marked 9 cm (the picture is not printed to size). Triangle A with its three sides marked 6 cm, 8 cm and 10 cm; similar triangle B with the side matching A's 6 cm side marked 9 cm (the picture is not printed to size). 6 cm 8 cm 10 cm Triangle A 9 cm Triangle B Not to scale Milo builds a small ramp (A) and a bigger, similar ramp (B), shown here. How many cm of tape go all the way around B's edge?
Triangle A with its three sides marked 4 cm, 6 cm and 9 cm; similar triangle B with the side matching A's 4 cm side marked 10 cm (the picture is not printed to size). Triangle A with its three sides marked 4 cm, 6 cm and 9 cm; similar triangle B with the side matching A's 4 cm side marked 10 cm (the picture is not printed to size). 4 cm 6 cm 9 cm Triangle A 10 cm Triangle B Not to scale Noah orders a bigger print of a drawing. The drawing (A) is 4 by 6 inches and the print (B) is 6 by 9 inches. Are A and B similar?
Sketch, not to scale: rectangle A is 4 by 6; rectangle B is 6 by 9. Sketch, not to scale: rectangle A is 4 by 6; rectangle B is 6 by 9. A 6 inches 4 inches Not to scale. B 9 inches 6 inches Not to scale. - No: the print is a different size than the drawing
- No: the short sides differ by 2 inches but the long sides differ by 3
- Yes: both pairs of sides are × 3/2
- Yes: both rectangles are longer than they are wide
Zee labels two similar roofs. Triangle ABC is similar to triangle FDE. Angle A is 40°. Which corner of triangle FDE has a 40° angle?
Two triangles (the picture is not printed to size): one with corners A, B, C, one with corners F, D, E. Two triangles (the picture is not printed to size): one with corners A, B, C, one with corners F, D, E. A B C F D E Not to scale - corner F
- corner D
- corner E
Ari labels two similar tent flaps. Triangle ABC is similar to triangle EFD. Angle B is 65°. Which corner of triangle EFD has a 65° angle?
Two triangles (the picture is not printed to size): one with corners A, B, C, one with corners E, F, D. Two triangles (the picture is not printed to size): one with corners A, B, C, one with corners E, F, D. A B C E F D Not to scale - corner F
- corner D
- corner E