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skylastrusz7643
22.06.2019 •
Mathematics
Ineed to know how to do this! geometry! will award brainliest quadrilateral prst is a parallelogram. ps is a diagonal. rt is a diagonal. rs⊥st ∠rps = 45° which is the most specific classification for quadrilateral prst?
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Ответ:
Step-by-step explanation:
Given that PRST is a parallelogram
Also given that a side RS is perpendicular to ST
This implies by parallel lines property that interior angles are supplementary
Hence angle T=angle S=angle P= angle R =90 degrees
This makes PQRS a rectangle since each angle is 90 degrees
Now another is given as RPS angle =45
If RPS =45, then since PRS is a right triangle, other angle PSR =45
Or PRS is isosceles triangle with PR =RS
Now we find that in the rectangle PRST, adjacent sides are equal
Hence PRST is nothing but a square
since
i) each angle is 90
ii) adjacent sides are equal
Ответ:
2000
Step-by-step explanation: