9th grade geometry

Question 1

Find the area of a sector with radius 4 cm and angle 300°. Round to 1 decimal place.

Answer 

Question 2

A sector has radius 4 cm and angle 150°. Find the arc length in cm, rounded to 1 decimal place.

Answer 

Question 3

Two triangles are known to be congruent because both have a right angle, and the hypotenuses and one other side are equal. Which condition is this?

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

Question 4

The midpoint of P(3, −4) and Q(a, b) is (−2, −5). Find a.

Answer 

Question 5

M(−6, 5) is the midpoint of AB, and A is (7, 3). Find B. Type it like (2, −1).

Answer 

Question 6

Two triangles have all three angles equal (AAA). Must they be congruent?

• A. Yes
• B. No

Question 7

Two similar shapes have a length scale factor of 3. The smaller has area 7 cm². What is the area of the larger, in cm²?

Answer 

Question 8

Triangles ABC and DEF are similar. AB = 3 cm, BC = 10 cm and DE = 9 cm. Find EF in cm.

Answer 

Question 9

Find the area of a sector with radius 3 cm and angle 200°. Round to 1 decimal place.

Answer 

Question 10

A sector has radius 11 cm and angle 45°. Find the arc length in cm, rounded to 1 decimal place.

Answer 

Question 11

Two triangles are known to be congruent because both have a right angle, and the hypotenuses and one other side are equal. Which condition is this?

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

Question 12

The midpoint of P(3, −3) and Q(a, b) is (0, 2). Find a.

Answer 

Question 13

M(3, −5) is the midpoint of AB, and A is (5, −8). Find B. Type it like (2, −1).

Answer 

Question 14

Two triangles have two angles and the included side equal (ASA). Must they be congruent?

• A. Yes
• B. No

Question 15

Two similar solids have a length scale factor of 5. The smaller has volume 13 cm³. What is the volume of the larger, in cm³?

Answer 

Question 16

Triangles ABC and DEF are similar. AB = 3 cm, BC = 11 cm and DE = 9 cm. Find EF in cm.

Answer