Answer:
The answers are given below.
Step-by-step explanation:
7. EFGH is a rectangle. Slope of HE is [tex]- \frac {3}{5}[/tex]
So, the slope of EF is [tex]\frac {-1}{- \frac {3}{5}}[/tex]
= [tex]\frac {5}{3}[/tex]
8 .PQRS is a square.
So, m∠QSR = 45°
[since the diagonals bisect the internal angles of a square]
9. m∠PTQ = 90°
[since the diagonals of a square intersect each other at right angles]
10. RT = 24 unit ,
so,
PR = [tex](2 \times 24)[/tex] unit
= 48 unit [since the diagonals of a square bisect each other]
So, SQ = PR = 48 unit
[since the diagonals of a square are equal]
11. Yes, a squae is a rectangle
12. Since RSTU is a rectangle,
so, ∠RUS + ∠SUT = 90°
⇒3x + 6 + 5x - 4 = 90°
⇒x = 11°
So, ∠RUS = 3x + 6 = 39°
