Congruence, Similarity & Geometrical Proof Quiz

1. Which of these is NOT a valid triangle congruence condition?

• A. SSS
• B. SAS
• C. SSA
• D. RHS

2. Two shapes are similar. What must be true of their corresponding angles?

• A. They are equal
• B. They sum to 180°
• C. They are in the same ratio as the sides
• D. They are complementary

3. In a congruence proof, two triangles share a side $AD$. What reason can you give for $AD = AD$?

• A. Vertically opposite
• B. Common side
• C. Corresponding angles
• D. Given

4. Two similar triangles have areas $16\text{cm}^2$ and $49\text{cm}^2$. What is the linear scale factor?

• A. 16/49
• B. 4/7
• C. 7/4
• D. 2/7

5. Two similar cylinders have volumes in ratio $27:64$. If the smaller cylinder has radius $6\text{cm}$, what is the radius of the larger cylinder?

• A. 8 cm
• B. 9 cm
• C. 12 cm
• D. 16 cm