Common Core HSG.GPE.B.4 worksheet

Question 1

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

Answer 

Question 2

Is the triangle with vertices A(−1, −2), B(2, 1) and C(−7, 1) right-angled?

• A. Yes
• B. No

Question 3

Find the exact distance between (2, −1) and (8, 6). Simplify the surd.

Answer 

Question 4

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

• A. Yes
• B. No

Question 5

Find the exact distance between (0, −6) and (−4, −2). Simplify the surd.

Answer 

Question 6

Is the triangle with vertices A(0, 1), B(−4, 5) and C(−4, −7) right-angled?

• A. Yes
• B. No

Question 7

Find the exact distance between (−2, −1) and (−1, −9). Simplify the surd.

Answer 

Question 8

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

• A. Yes
• B. No

Question 9

Find the exact distance between (1, 5) and (0, −1). Simplify the surd.

Answer 

Question 10

Is the triangle with vertices A(4, 2), B(2, 1) and C(6, 0) right-angled?

• A. Yes
• B. No

Question 11

Find the exact distance between (−1, −2) and (−4, −7). Simplify the surd.

Answer 

Question 12

Is the triangle with vertices A(−4, −1), B(−6, −3) and C(−2, −5) right-angled?

• A. Yes
• B. No

Question 13

Find the exact distance between (4, 5) and (9, 6). Simplify the surd.

Answer 

Question 14

Is the triangle with vertices A(4, 1), B(5, −2) and C(6, 3) right-angled?

• A. Yes
• B. No

Question 15

Find the exact distance between (−1, 5) and (−5, 12). Simplify the surd.

Answer 

Question 16

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

• A. Yes
• B. No