Similar Triangles Quiz

The length of the sides of two similar triangles are in the ratio of 2:3. If the area of the larger triangle is 45 cm², find the area of the smallest triangle.

• 30 cm²
• 15 cm²
• 10 cm²
• 20 cm²

Which one of the interior line segments (line segments inside the triangle) is a midsegment?

• XY
• YZ
• XZ
• ??

Perimeter: add all three sides up of purple triangle

• 15
• 23
• 30
• 46

If BD=16, AC=10 and DE=3, what is the perimeter of triangle ABC (add all sides of big triangle)

• 48
• 16
• 27
• 29

The ratio of the areas of two similar triangles is 4:9. What is the ratio of the perimeters?

• 4:9
• 2:3
• 16:81
• 9:4

The ratio of the sides of two similar triangles is 5:6. If the area of the smaller triangle is 50 km², what is the area of the larger triangle?

• 60 km²
• 72 km²
• 34.7 km²
• 42.7 km²

∆ABC∼∆XYZ. If the perimeter of ∆ABC is 36, the perimeter of ∆XYZ is 9, and AB=12 what is the length of XY?

• 3
• 1.33
• 48
• 192

∆ABC∼∆XYZ. The ratio of side lengths is 3:1 and the perimeter of ∆ABC is 15, what is the perimeter of ∆XYZ?

• 15
• 5
• 3
• 9

∆ABC∼∆XYZ. The ratio of side lengths is 3:1 perimeter of ∆ABC is 15, what is the perimeter of ∆XYZ?

• 18
• 45
• 15
• 5

What is the perimeter of triangle PQR?

• 34
• 17
• 289
• 8.5