ACTIVITY 2: KEEP PRACTICING!
Direction: Refer to the given figure below and answer the following.
Given: OEASY is a parallelogram.
E
А
1. AS =
Y
S
2. LA
3. ZY + LE = _
4. XY E
5. ASAY -
Answers
Given : EASY is a parallelogram.
To Find :
1. AS ≅
2. ∠A ≅
3. ∠Y + ∠E =
4. XY ≅
5. ΔSAY ≅
Solution:
Properties of parallelogram
opposite Sides are parallel and equal
Opposite angles are equal
Sum of adjacent angles = 180°
Diagonals bisects each other
Using above properties
1. AS ≅ EY ( opposite sides)
2. ∠A ≅ ∠Y ( opposite angles )
3. ∠Y + ∠E = 180° ( adjacent angles)
4. XY ≅ XA ( Diagonal bisects)
5. ΔSAY ≅ ΔEYA
SA = EY opposite
AY = YA common
SY = EA opposite
=> ΔSAY ≅ ΔEYA (SSS)
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