Common Core HSG.GPE.B.7 worksheet

Question 1

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

• A. Yes
• B. No

Question 2

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

Answer 

Question 3

Find the midpoint of (2, −1) and (−8, −11). Type it like (2, −1).

Answer 

Question 4

Find the distance between (−4, −5) and (1, 7).

Answer 

Question 5

Is the triangle with vertices A(2, 3), B(1, −1) and C(7, 3) right-angled?

• A. Yes
• B. No

Question 6

Find the exact distance between (0, 4) and (2, −1). Simplify the surd.

Answer 

Question 7

Find the midpoint of (2, 8) and (2, 10). Type it like (2, −1).

Answer 

Question 8

Find the distance between (−6, 3) and (−18, 8).

Answer 

Question 9

Is the triangle with vertices A(−4, 3), B(−2, 7) and C(−8, 5) right-angled?

• A. Yes
• B. No

Question 10

Find the exact distance between (−2, 3) and (6, 5). Simplify the surd.

Answer 

Question 11

Find the midpoint of (−7, 8) and (3, 6). Type it like (2, −1).

Answer 

Question 12

Find the distance between (−2, −3) and (1, −7).

Answer 

Question 13

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

• A. Yes
• B. No

Question 14

Find the exact distance between (1, −5) and (−4, 0). Simplify the surd.

Answer 

Question 15

Find the midpoint of (−9, −3) and (−3, −13). Type it like (2, −1).

Answer 

Question 16

Find the distance between (−6, −2) and (2, 13).

Answer