Good morning, class!
Grade 9 Genesis
What is Quadrilateral?
• A quadrilateral is a two-
dimensional shape with four
sides and four angles.
“Determine the condition
that make a quadrilateral a
parallelogram.”
Parallelogram
• Is a quadrilateral whose
opposite sides are
parallel.
Note: parallel are equidistant lines
Condition 1
Both pairs of
opposite sides
are congruent
Condition 2 Condition 3
Both pairs of
opposite angles
are congruent
Any two
consecutive
angles are
supplement
ary
condition 4
The diagonal of
a parallelogram
bisect each
other.
condition 5
The diagonals of a
parallelogram form
two congruent
triangles.
Condtion 1
⩭
⩭
Application
⩭
•
∠
Application
Condition 2
A quadrilateral is a
parallelogram if both pairs of
opposite angle are congruent
∠ ⩭ ∠
∠ ⩭ ∠
∠ ⩭ ∠
∠
• ∠
∠
Application
Condition 3
A quadrilateral is a
parallelogram if any pair of
consecutive angles are
supplementary.
∠ ∠
∠ ∠
∠ ∠
∠ ∠
∠ ∠
∠
∠
∠
• ∠
Condition 4
A quadrilateral is a
parallelogram if the
diagonals bisect each
other.
⩭
⩭
Application
⩭
•
condition 5
A quadrilateral is a parallelogram
if each diagonal divides the
parallelogram into two
congruent triangles.
Application
△ ⩭ △
⩭
⩭
⩭
△
△ ⩭ △
• △
△
Activity 1.1
• ⩭
• △ ⩭
• ⩭
• ∠ ∠
• ⩭
SHARE...SHARE...
ASSIGNMENT
⩭ ⩭
∠ ⩭ ∠ ∠ ⩭ ∠
∠ ⩭ ∠
⩭ ⩭
Thank you!!

“Determine the condition that make a quadrilateral a parallelogram.”.pptx