Similar figures: corresponding sides, scale factor, and all circles are similar
Grade 10 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Ari checks pairs of shapes by their side lengths, all in cm. Which pair is similar?
- Right triangles with sides 3, 4, 5 and 5, 12, 13
- Triangles with sides 4, 6, 8 and 6, 9, 11
- Triangles with sides 3, 4, 5 and 6, 7, 8
- Triangles with sides 6, 8, 10 and 9, 12, 15
Bo checks pairs of shapes by their side lengths, all in cm. Which pair is similar?
- Rectangles 2 by 3 and 4 by 7
- Rectangles 3 by 5 and 6 by 8, with 90° angles
- Rectangles 4 by 6 and 10 by 15
- Rectangles 5 by 7 and 8 by 10
Esme checks pairs of shapes by their side lengths, all in cm. Which pair is similar?
- Triangles with sides 12, 5, 13 and 10, 26, 24
- Triangles with sides 6, 9, 12 and 8, 12, 15
- Isosceles triangles with sides 5, 5, 6 and 5, 5, 8
- Triangles with sides 5, 7, 9 and 8, 10, 12
Jun checks pairs of shapes by their side lengths, all in cm. Which pair is similar?
- A 5 by 5 square and a 5 by 10 rectangle
- Rectangles 8 by 10 and 12 by 16
- Rectangles 6 by 9 and 9 by 12
- Rectangles 9 by 12 and 6 by 8
Kira scales a boat drawing. △CDF ~ △UQS, with CD = 6, DF = 8, CF = 10 (cm). QS = 20 cm. What is the scale factor from △CDF to △UQS?
Noah scales a park drawing. △CDF ~ △QSU, with CD = 9, DF = 12, CF = 15 (cm). SU = 20 cm. What is the scale factor from △CDF to △QSU?
Pia scales a house plan. △CDF ~ △UQS, with CD = 6 and DF = 10 in the first triangle. UQ = 15. How long is QS?
Ren scales a cheese plan. △CDF ~ △UQS, with CD = 4 and DF = 6 in the first triangle. UQ = 12. How long is QS?
Tala scales a pizza plan. △CDF ~ △UQS, with CD = 8 and DF = 12 in the first triangle. UQ = 6. How long is QS?
Zee scales a map plan. △CDF ~ △UQS, with CD = 6 and DF = 12 in the first triangle. UQ = 4. How long is QS?