Find exact distances between points and test for right angles

Question 1

Find the exact distance between (5, −6) and (0, −10). Simplify the surd.

Answer 

Question 2

Is the triangle with vertices A(2, −4), B(5, −8) and C(7, 0) right-angled?

• A. Yes
• B. No

Question 3

Find the exact distance between (2, 1) and (6, −4). Simplify the surd.

Answer 

Question 4

Is the triangle with vertices A(4, −2), B(2, −6) and C(8, −6) right-angled?

• A. Yes
• B. No

Question 5

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

Answer 

Question 6

Is the triangle with vertices A(−1, 2), B(3, 4) and C(−2, 8) right-angled?

• A. Yes
• B. No

Question 7

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

Answer 

Question 8

Is the triangle with vertices A(4, 0), B(5, −4) and C(8, 2) right-angled?

• A. Yes
• B. No

Question 9

Find the exact distance between (0, 0) and (8, 8). Simplify the surd.

Answer 

Question 10

Is the triangle with vertices A(−3, 3), B(−1, 6) and C(−9, 5) right-angled?

• A. Yes
• B. No

Question 11

Find the exact distance between (1, 0) and (−3, −1). Simplify the surd.

Answer 

Question 12

Is the triangle with vertices A(−2, −2), B(−3, −6) and C(1, −2) right-angled?

• A. Yes
• B. No

Question 13

Find the exact distance between (−3, 6) and (−7, −2). Simplify the surd.

Answer 

Question 14

Is the triangle with vertices A(−2, 4), B(−5, 0) and C(1, 3) right-angled?

• A. Yes
• B. No

Question 15

Find the exact distance between (3, 3) and (−5, −1). Simplify the surd.

Answer 

Question 16

Is the triangle with vertices A(2, −4), B(3, −6) and C(5, −2) right-angled?

• A. Yes
• B. No