Please help I need this done by tonight!!
2 answers:
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Answer:
The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC
Step-by-step explanation:
<em>There is an important fact about the parallel lines: </em>
- Parallel lines have equal slopes
<em>The rule of the slope of a line is:</em>
, where
and
are two points on the line
<em>Let us use the fact and the rule to solve the question</em>
∵ ABCD is a quadrilateral
∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)
∵ The opposite sides are AB, CD and AD, BC
Find the slopes of the four sides to check the parallel sides
∵
∵
∵ The slope of AB = The slope of CD
∴ AB // CD
∵
∵
∵ The slope of AB = The slope of CD
∴ AD // BC
The correct answer is:
Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)