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Sagot :

SOLUTION

For 1-5 items

REMEMBER

  • the diagonals of a rectangle are equal.
  • Opposite sides are equal
  • All angles are equal
  • The vertices of the rectangles are 90°

1. CR = AE » Diagonals are equal «

  • CR is half the value of AE
  • Hence , CR = 46/2in

2. AR = CE » Opposite sides are equal «

  • CE = AR
  • 25in = AR

3. CR = AE » Diagonals are equal «

  • CR = AE
  • CR = 49in

4. <ACE = is a right angle »Angles are 90° «

  • <ACE = 90°

5. <TRE + <ART = 90°

  • <TRE + 56° = 90°
  • <TRE = 90°-56°
  • <TRE = 34°

For 6-7 items

REMEMBER

  • All sides are equal
  • All diagonals are equal

6. EA = AS » All sided are equal «

  • 3x-11 = x+3
  • 3x-x = 3+11
  • 2x = 14
  • x = 7

7. ES = AY » All diagonals are equal «

  • ES = 4(7)-6in
  • ES = 28-6in
  • ES = 22in

For 8-10 items

REMEMBER

  • All sides are equal
  • Opposite angles are equal
  • Sum of the adjacent angles is 180°

8. First, We will solve for the value of y

  • The angles formed by the diagonals are 90°. It follows that:
  • 2y+10 = 90
  • 2y = 90-10
  • 2y = 80
  • y = 40

Now , <2 and <3 are equal

  • <3 = y+20
  • <3 = 40+20
  • <3 = 60°

9. The sum of adjacent angles are 180°

  • <3+<2 + 2(<JEP)= 180
  • 60+60 + 2(<JEP) = 180
  • 120+2(<JEP) = 180
  • 2(<JEP) = 180-120
  • 2(<JEP) = 60
  • <JEP = 30°

10. EH = HO » All sides are equal «

  • 2x-3 = x+1
  • 2x-x = 1+3
  • x = 4

Substitute the value of x

  • EH = HO = HJ = PE

if EH = 2(4)-3 = 8-3 = 5 , then all the sides are equal to 5 also.

  • PE = 5

ANSWER

  1. 46/2in
  2. 25in
  3. 49in
  4. 90°
  5. 34°
  6. 7
  7. 22in
  8. 60°
  9. 30°
  10. 5