9th grade geometry

Question 1

Two triangles have only two pairs of sides equal. Must they be congruent?

• A. Yes
• B. No

Question 2

Two similar solids have a length scale factor of 4. The smaller has volume 19 cm³. What is the volume of the larger, in cm³?

Answer 

Question 3

The midpoint of P(−7, 1) and Q(a, b) is (−1, 0). Find b.

Answer 

Question 4

Two triangles are known to be congruent because two angles and the side between them are equal. Which condition is this?

• A. ASA
• B. SAS
• C. SSS
• D. RHS (HL)

Question 5

A sector has radius 14 cm and angle 60°. Find the arc length in cm, rounded to 1 decimal place.

Answer 

Question 6

M(−1, −6) is the midpoint of AB, and A is (5, −8). Find B. Type it like (2, −1).

Answer 

Question 7

Triangles ABC and DEF are similar. AB = 7 cm, BC = 4 cm and DE = 10.5 cm. Find EF in cm.

Answer 

Question 8

Find the area of a sector with radius 5 cm and angle 60°. Round to 1 decimal place.

Answer 

Question 9

Two triangles have only two pairs of sides equal. Must they be congruent?

• A. Yes
• B. No

Question 10

Two similar shapes have a length scale factor of 3. The smaller has area 8 cm². What is the area of the larger, in cm²?

Answer 

Question 11

The midpoint of P(−9, −2) and Q(a, b) is (−3, −4). Find a.

Answer 

Question 12

Two triangles are known to be congruent because two angles and the side between them are equal. Which condition is this?

• A. ASA
• B. RHS (HL)
• C. SSS
• D. SAS

Question 13

A sector has radius 3 cm and angle 30°. Find the arc length in cm, rounded to 1 decimal place.

Answer 

Question 14

M(−3, −2) is the midpoint of AB, and A is (0, −5). Find B. Type it like (2, −1).

Answer 

Question 15

Triangles ABC and DEF are similar. AB = 5 cm, BC = 8 cm and DE = 7.5 cm. Find EF in cm.

Answer 

Question 16

Find the area of a sector with radius 7 cm and angle 80°. Round to 1 decimal place.

Answer