9th grade geometry

Question 1

Triangles ABC and DEF are similar. AB = 4 cm, BC = 3 cm and DE = 10 cm. Find EF in cm.

Answer 

Question 2

Two similar shapes have a length scale factor of 3. The smaller has area 15 cm². What is the area of the larger, in cm²?

Answer 

Question 3

Two triangles are known to be congruent because all three pairs of sides are equal. Which condition is this?

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

Question 4

Find the area of a sector with radius 4 cm and angle 40°. Round to 1 decimal place.

Answer 

Question 5

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

• A. Yes
• B. No

Question 6

A sector has radius 12 cm and angle 240°. Find the arc length in cm, rounded to 1 decimal place.

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Question 7

The midpoint of P(−6, 1) and Q(a, b) is (−3, −3). Find a.

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Question 8

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

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Question 9

Triangles ABC and DEF are similar. AB = 7 cm, BC = 5 cm and DE = 28 cm. Find EF in cm.

Answer 

Question 10

Two similar shapes have a length scale factor of 2. The smaller has area 14 cm². What is the area of the larger, in cm²?

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. SSS
• C. RHS (HL)
• D. ASA

Question 12

Find the area of a sector with radius 11 cm and angle 120°. Round to 1 decimal place.

Answer 

Question 13

Two triangles have all three sides equal (SSS). Must they be congruent?

• A. Yes
• B. No

Question 14

A sector has radius 15 cm and angle 72°. Find the arc length in cm, rounded to 1 decimal place.

Answer 

Question 15

The midpoint of P(−4, −9) and Q(a, b) is (−5, −4). Find b.

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Question 16

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

Answer