Similarity and length scale factors: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Triangles ABC and DEF are similar in that order. \(\displaystyle AB=3 \mathrm{cm}, DE=10 \mathrm{cm}, BC=6 \mathrm{cm}\) and EF corresponds to BC. The perimeter of ABC is 17 cm. In a separate similar pair with the same scale factor, corresponding sides are x cm in the smaller triangle and 60 cm in the larger triangle.
Find the length scale factor from ABC to DEF.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity and length scale factors: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Triangles ABC and DEF are similar in that order. \(\displaystyle AB=4 \mathrm{cm}, DE=11 \mathrm{cm}, BC=7 \mathrm{cm}\) and EF corresponds to BC. The perimeter of ABC is 21 cm. In a separate similar pair with the same scale factor, corresponding sides are x cm in the smaller triangle and 33 cm in the larger triangle.
Find the length scale factor from ABC to DEF.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity and length scale factors: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Triangles ABC and DEF are similar in that order. \(\displaystyle AB=4 \mathrm{cm}, DE=11 \mathrm{cm}, BC=7 \mathrm{cm}\) and EF corresponds to BC. The perimeter of ABC is 21 cm. In a separate similar pair with the same scale factor, corresponding sides are x cm in the smaller triangle and 33 cm in the larger triangle.
Find EF in cm.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity and length scale factors: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Triangles ABC and DEF are similar in that order. \(\displaystyle AB=5 \mathrm{cm}, DE=12 \mathrm{cm}, BC=8 \mathrm{cm}\) and EF corresponds to BC. The perimeter of ABC is 25 cm. In a separate similar pair with the same scale factor, corresponding sides are x cm in the smaller triangle and 48 cm in the larger triangle.
Find EF in cm.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity and length scale factors: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Triangles ABC and DEF are similar in that order. \(\displaystyle AB=5 \mathrm{cm}, DE=12 \mathrm{cm}, BC=8 \mathrm{cm}\) and EF corresponds to BC. The perimeter of ABC is 25 cm. In a separate similar pair with the same scale factor, corresponding sides are x cm in the smaller triangle and 48 cm in the larger triangle.
Find the perimeter of DEF in cm.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity and length scale factors: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Triangles ABC and DEF are similar in that order. \(\displaystyle AB=6 \mathrm{cm}, DE=7 \mathrm{cm}, BC=9 \mathrm{cm}\) and EF corresponds to BC. The perimeter of ABC is 29 cm. In a separate similar pair with the same scale factor, corresponding sides are x cm in the smaller triangle and 35 cm in the larger triangle.
Find the perimeter of DEF in cm.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity and length scale factors: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Triangles ABC and DEF are similar in that order. \(\displaystyle AB=6 \mathrm{cm}, DE=7 \mathrm{cm}, BC=9 \mathrm{cm}\) and EF corresponds to BC. The perimeter of ABC is 29 cm. In a separate similar pair with the same scale factor, corresponding sides are x cm in the smaller triangle and 35 cm in the larger triangle.
Find x in cm.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity and length scale factors: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Triangles ABC and DEF are similar in that order. \(\displaystyle AB=2 \mathrm{cm}, DE=8 \mathrm{cm}, BC=10 \mathrm{cm}\) and EF corresponds to BC. The perimeter of ABC is 23 cm. In a separate similar pair with the same scale factor, corresponding sides are x cm in the smaller triangle and 48 cm in the larger triangle.
Find x in cm.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity with areas and volumes: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Two geometrically similar solids S and T have corresponding lengths 2 cm and 9 cm. S has surface area \(\displaystyle 9 \mathrm{cm}^{2}\) and volume \(\displaystyle 18 \mathrm{cm}^{3}\).
Find the surface-area multiplier from S to T.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity with areas and volumes: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Two geometrically similar solids S and T have corresponding lengths 3 cm and 10 cm. S has surface area \(\displaystyle 10 \mathrm{cm}^{2}\) and volume \(\displaystyle 19 \mathrm{cm}^{3}\).
Find the surface-area multiplier from S to T.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity with areas and volumes: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Two geometrically similar solids S and T have corresponding lengths 3 cm and 10 cm. S has surface area \(\displaystyle 10 \mathrm{cm}^{2}\) and volume \(\displaystyle 19 \mathrm{cm}^{3}\).
Find the volume multiplier from S to T.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity with areas and volumes: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Two geometrically similar solids S and T have corresponding lengths 4 cm and 11 cm. S has surface area \(\displaystyle 11 \mathrm{cm}^{2}\) and volume \(\displaystyle 11 \mathrm{cm}^{3}\).
Find the volume multiplier from S to T.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity with areas and volumes: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Two geometrically similar solids S and T have corresponding lengths 4 cm and 11 cm. S has surface area \(\displaystyle 11 \mathrm{cm}^{2}\) and volume \(\displaystyle 11 \mathrm{cm}^{3}\).
Find the surface area of T in \(\displaystyle \mathrm{cm}^{2}\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity with areas and volumes: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Two geometrically similar solids S and T have corresponding lengths 5 cm and 7 cm. S has surface area \(\displaystyle 12 \mathrm{cm}^{2}\) and volume \(\displaystyle 12 \mathrm{cm}^{3}\).
Find the surface area of T in \(\displaystyle \mathrm{cm}^{2}\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity with areas and volumes: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Two geometrically similar solids S and T have corresponding lengths 5 cm and 7 cm. S has surface area \(\displaystyle 12 \mathrm{cm}^{2}\) and volume \(\displaystyle 12 \mathrm{cm}^{3}\).
Find the volume of T in \(\displaystyle \mathrm{cm}^{3}\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Similarity with areas and volumes: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Two geometrically similar solids S and T have corresponding lengths 2 cm and 8 cm. S has surface area \(\displaystyle 5 \mathrm{cm}^{2}\) and volume \(\displaystyle 13 \mathrm{cm}^{3}\).
Find the volume of T in \(\displaystyle \mathrm{cm}^{3}\).
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.