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A graph shows Q at (minus 4, minus 6), R at (minus 4, minus 3), S at (2, minus 3), T at (4, minus 3), and U at (4, minus 7). A line goes through S and U, second linear line passes to Q and S both are perpendicular
Given:
and
Prove: slope of
× slope of
= -1
Statements Reasons
1.
is similar to
Given
2.
Property of similar triangles
3. slope of
slope of
Definition of slope
4. slope of
slope of
Multiplying the slopes
5. Substitution property of equality
6. slope of
slope of
= -1 Simplifying the right side
The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 5?
A.
B.
C.
D.
Sagot :
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