5.2.3 Slopes of Parallel and Perpendicular Lines − Worksheet
Example 1:
Identify which lines are parallel. 1. y = 6; y = 6 x + 5; y = 6 x − 7; y = − 8
3 4
3 4
2.
= − =− − = − y x y x y x 1; 2 ; 3 ( 5);
y
x 4 2( 2)
− =− +
Example 2:
3. Show that ABCD is a trapezoid. ( Hint : In a trapezoid, exactly one pair of opposite sides is parallel.)
y
6
B (4, 5)
A (–2, 5)
4
2
C (6, 2)
x
2 4 6
0
–2
D (2, –1)
–2
Example 3:
Identify which lines are perpendicular.
3 7
4. = − =− + =− = y x y x y x 2 3 4; 3 2 2; 1;
5.
y
=− − − =− + x y x 4;
4 7( 2);
3
7 3
1 7
y
− = − − = − ( 4); 7 ( 3) x y x 1
Example 4:
6. Show that PQRS is a rectangle. ( Hint : In a rectangle, all four angles are right angles.)
y
Q (2, 6)
6
R (8, 3)
4
P (1, 4)
2
S (7, 1)
x
0
2
4
6
8
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