Question

PLEASE HELP!!! I NEED 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?

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Answer:

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