Find exact distances between points and test for right angles

Question 1

Is the triangle with vertices A(−3, 2), B(−5, 1) and C(−3, 2) right-angled?

• A. Yes
• B. No

Question 2

Find the exact distance between (1, 5) and (−1, 7). Simplify the surd.

Answer 

Question 3

Is the triangle with vertices A(−3, −1), B(0, −4) and C(1, 3) right-angled?

• A. Yes
• B. No

Question 4

Find the exact distance between (6, −2) and (−2, 3). Simplify the surd.

Answer 

Question 5

Is the triangle with vertices A(4, −2), B(3, −5) and C(7, −4) right-angled?

• A. Yes
• B. No

Question 6

Find the exact distance between (−1, −6) and (−2, 0). Simplify the surd.

Answer 

Question 7

Is the triangle with vertices A(3, 3), B(4, 2) and C(5, 5) right-angled?

• A. Yes
• B. No

Question 8

Find the exact distance between (−4, 6) and (2, 7). Simplify the surd.

Answer 

Question 9

Is the triangle with vertices A(−2, 2), B(−5, 4) and C(−5, 1) right-angled?

• A. Yes
• B. No

Question 10

Find the exact distance between (3, 6) and (8, −1). Simplify the surd.

Answer 

Question 11

Is the triangle with vertices A(−3, −1), B(−1, 2) and C(−5, 3) right-angled?

• A. Yes
• B. No

Question 12

Find the exact distance between (5, −3) and (7, −7). Simplify the surd.

Answer 

Question 13

Is the triangle with vertices A(3, 0), B(−1, −4) and C(8, −3) right-angled?

• A. Yes
• B. No

Question 14

Find the exact distance between (−5, 0) and (−2, 3). Simplify the surd.

Answer 

Question 15

Is the triangle with vertices A(−3, 2), B(−2, −2) and C(1, 3) right-angled?

• A. Yes
• B. No

Question 16

Find the exact distance between (−5, 6) and (2, −2). Simplify the surd.

Answer