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 12 | 3 for the matching sides, with a box for the multiplier from A to B. Kira copies a kite design (A) onto a tiny sticker (B), similar shapes. A's tail is 12 cm and B's tail is 3 cm. What is the scale factor from A to B?
Jun has similar tent flaps A and B. Every side of B is 1.5 times as long as A's. A has angles of 40° and 45°. How big is B's angle matching A's third angle?
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?
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?
Tala sews two quilts. Quilt A is 3 by 5 feet and quilt B is 6 by 8 feet. Are A and B similar?
- Yes: both sides are 3 feet longer
- No: quilt B is bigger than quilt A
- No: 6 ÷ 3 = 2, but 8 ÷ 5 is not 2
- Yes: the short side doubled, 3 feet to 6 feet
Esme labels two similar roofs. Triangle LMN is similar to triangle STU. Angle M is 30°. Which corner of triangle STU has a 30° angle?
- corner T
- corner U
- corner S
Ren compares two similar castle flags. Triangle ABC is similar to triangle DEF. How many cm long is side EF?
One row 20 | 200 for the matching sides, with a box for the multiplier from B to A. Zee compares a toy bed (A) and a real bed (B), similar rectangles. A's side is 20 cm and B's matching side is 200 cm. What is the scale factor from B to A?
One row 4 | 32 for the matching sides, with a box for the multiplier from B to A. Ari compares a model ramp (A) and a bigger ramp (B), similar triangles. A's base is 4 cm and B's base is 32 cm. What is the scale factor from B to A?