Remember: Same side of zero, subtract. Opposite sides of zero, add. A distance is never negative.
Distances in shapes
1
The rectangle has corners A (−4, 3), B (2, 3), C (2, −2) and D (−4, −2). How long is side AB?
2
How long is side BC?
3
What is the perimeter of the rectangle in units?
4
P is at (−9, 4) and Q is at (3, 4). How far apart are they?
5
Which pair of points is farthest apart?
(−3, −5) and (−3, 2)(2, −8) and (2, 1)(4, 1) and (−6, 1)
6
S is at (−7, −3). T is in the same row, 15 units to the right of S. What is the first number of T?
7
The points (−8, 5) and (−2, 5) are 10 units apart.
TrueFalse
8
P, Q and R are in one row. How far is it from P to R?
9
One side of a square goes from (−3, 2) to (−3, −4). What is the area of the square in square units?
10
Join each pair of points to how far apart they are.
1(−5, 8) and (−5, 3)
2(−5, 8) and (−5, −3)
3(2, −9) and (2, −2)
4(−6, −6) and (6, −6)
A7
B5
C12
D11
11
Circle every point that is 6 units from (1, 2) in the same row.
(7, 2)(−5, 2)(1, 8)(−6, 2)(6, 2)
12
Go from A to B and then from B to C along the lines. How many units is the whole path?
13
Pip says (−6, 4) and (2, 4) are 4 apart, because 6 − 2 = 4. Write how you know Pip is wrong, and the distance.
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