3.2.4 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
2. =−=− −= − −=−+ y x y x y x y x 3 4 1; 2 ; 3 3 4 ( 5); 4 2( 2)
y
Example 2: 3. Show that ABCD is a trapezoid. ( Hint : In a trapezoid, exactly one pair of opposite sides is parallel.)
6
A (–2, 5)
B (4, 5)
4
C (6, 2)
2
x
0
–2
2 4 6
D (2, –1)
–2
Example 3: Identify which lines are perpendicular. 4. = − =− + =− = y x y x y x 4; 2; 1;
3 7
2 3
3 2
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
Example 5: 7. Write an equation in slope-intercept form for the line that passes through (5, 0) and is perpendicular to the line described by =− + y x 6.
0
2
4
6
8
5 2
186
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