Math 9 Properties of Parallelograms Properties of
Description: Math 9 Properties of Parallelograms Properties of Parallelograms parallelogram Opposite sides of a parallelogram are parallel. The opposite angles of a parallelogram are congruent. The opposite sides of a parallelogram are congruent.
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slide1. Math 9<br>
slide2. Properties of Parallelograms<br>
slide3. Properties of Parallelograms > > parallelogram Opposite sides of a parallelogram are parallel.
The opposite angles of a parallelogram are congruent.
The opposite sides of a parallelogram are congruent.
The consecutive angles of a parallelogram are supplementary.
The diagonals of a parallelogram bisect each other.
Each diagonal divides a parallelogram into two congruent triangles.<br>
slide4. > > > > π³ π° π¬ ππΒ° ππ ππ Properties of Parallelograms
Find: πΏπΈ π³π¬ = ππ
πΈπΉ π¬π = ππ
πβ πΏπΈπΉ
ππ ππ πβ π³π¬π = ππΒ°
a.
b.
c.
F πβ πΏ
πβ πΌ
πβ πΉ πβ π³ = ππΒ°
πβ π° = ππΒ°
πβ π = ππΒ°<br>
slide5. Special Types of Parallelograms<br>
slide6. Special Types square > > >> >> > > >> >> rectangle rhombus<br>
slide7. square > > >> >> > > >> >> rectangle rhombus All properties of parallelograms.
It has four right angles.
Its diagonals are congruent. Special Types<br>
slide8. square > > >> >> rhombus > > >> >> rectangle > > > > > > πΉ π¬ π» π΅ πΊ 1. Find πΈπ if π π = 13 π.
π¬π» = ππ
1. Find mβ ππ π.
πβ π»πΉπ΅ = ππΒ° ππΒ° Special Types<br>
slide9. square > > >> >> > > >> >> rectangle rhombus Properties inherited from the parallelogram.
It has four congruent sides.
Its diagonals are perpendicular.
Each diagonal bisects the angles of the rhombus. Special Types<br>
slide10. square > > >> >> > > >> >> rhombus rectangle
Given: rhombus π ππ΄π·
If mβ π ππ΄ = 108Β°, find: mβ π ππ΅
mβ ππ π΅
mβ ππ π· π¦β πΉπΆπ© = ππΒ°
π¦β πΆπΉπ© = ππΒ°
π¦β πΆπΉπ© = ππΒ° π© πΉ π¨ πΆ π« Special Types<br>
slide11. square > > >> >> > > >> >> rectangle rhombus All properties of a parallelogram.
All properties of a rectangle.
All properties of a rhombus. Special Types<br>
slide2. Properties of Parallelograms<br>
slide3. Properties of Parallelograms > > parallelogram Opposite sides of a parallelogram are parallel.
The opposite angles of a parallelogram are congruent.
The opposite sides of a parallelogram are congruent.
The consecutive angles of a parallelogram are supplementary.
The diagonals of a parallelogram bisect each other.
Each diagonal divides a parallelogram into two congruent triangles.<br>
slide4. > > > > π³ π° π¬ ππΒ° ππ ππ Properties of Parallelograms
Find: πΏπΈ π³π¬ = ππ
πΈπΉ π¬π = ππ
πβ πΏπΈπΉ
ππ ππ πβ π³π¬π = ππΒ°
a.
b.
c.
F πβ πΏ
πβ πΌ
πβ πΉ πβ π³ = ππΒ°
πβ π° = ππΒ°
πβ π = ππΒ°<br>
slide5. Special Types of Parallelograms<br>
slide6. Special Types square > > >> >> > > >> >> rectangle rhombus<br>
slide7. square > > >> >> > > >> >> rectangle rhombus All properties of parallelograms.
It has four right angles.
Its diagonals are congruent. Special Types<br>
slide8. square > > >> >> rhombus > > >> >> rectangle > > > > > > πΉ π¬ π» π΅ πΊ 1. Find πΈπ if π π = 13 π.
π¬π» = ππ
1. Find mβ ππ π.
πβ π»πΉπ΅ = ππΒ° ππΒ° Special Types<br>
slide9. square > > >> >> > > >> >> rectangle rhombus Properties inherited from the parallelogram.
It has four congruent sides.
Its diagonals are perpendicular.
Each diagonal bisects the angles of the rhombus. Special Types<br>
slide10. square > > >> >> > > >> >> rhombus rectangle
Given: rhombus π ππ΄π·
If mβ π ππ΄ = 108Β°, find: mβ π ππ΅
mβ ππ π΅
mβ ππ π· π¦β πΉπΆπ© = ππΒ°
π¦β πΆπΉπ© = ππΒ°
π¦β πΆπΉπ© = ππΒ° π© πΉ π¨ πΆ π« Special Types<br>
slide11. square > > >> >> > > >> >> rectangle rhombus All properties of a parallelogram.
All properties of a rectangle.
All properties of a rhombus. Special Types<br>