Based on the given information, what can you conclude and why
1 answer:
Notice the point R
is a vertex between two "vertical angles"
those two folks are also the same
so now, we have the left triangle has angle P equals to angle T on the other triangle
we also have the side on the left triangle of PR equals the side of TR on the other triangle, and those two verticals angles are equal to each other
does ASA ring a bell?
is a vertex between two "vertical angles"
those two folks are also the same
so now, we have the left triangle has angle P equals to angle T on the other triangle
we also have the side on the left triangle of PR equals the side of TR on the other triangle, and those two verticals angles are equal to each other
does ASA ring a bell?
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Option B:
Solution:
In the given figure .
If two triangles are similar, then their corresponding sides and angles are equal.
By CPCTC, in ,
– – – – (1)
– – – – (2)
– – – – (3)
– – – – (4)
– – – – (5)
– – – – (6)
Option A:
By CPCTC proved in equation (2) .
Therefore . Option A is false.
Option B:
By CPCTC proved in equation (1) .
Therefore Option B is true.
Option C:
By CPCTC proved in equation (4) .
Therefore . Option C is false.
Option D:
By CPCTC proved in equation (5) .
Therefore . Option D is false.
Hence Option B is the correct answer.