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Lesson 2 Properties of Parallelograms

Last updated 6 months ago

29 Nsɛmmisa

Lesson 2 Properties of Parallelograms

On the next slide, manipulate (change its sides/angles) the given parallelogram. While you change the size of its sides/angles/diagonals look for what remains constant to determine the SIX PROPERTIES OF A PARALLELOGRAM

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1.

Using the applet on the previous slide, determine the SIX properties of parallelograms

Both pairs of opposite sides are congruent
Both pairs of opposite angles are congruent
Diagonals bisect each other
Diagonals bisect its angles
Diagonals are perpendicular.
Equiangular quadrilateral
Diagonals are congruent.
Both pairs of opposite sides are parallel
A diagonal divides the parallelogram into two congruent triangles
Only one pair of opposite sides congruent
Equilateral quadrialteral
Consecutive angles are supplementary
Only one pair of opposite sides parallel

Properties of Parallelograms

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2.

Given Parallelogram BART, find the values of:

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3.

Whiteboard notes

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4.

Given Parallelogram MORK, find the values of:

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5a.

Nokorɛ

Ɛnyɛ ampa

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5b.

Justify your answer

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10.

In Parallelogram ABCD, m

and m

m

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11.

In Parallelogram ABCD, diagonals

and

intersect at E.

,

and

.

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12.

Given the attached parallelogram, find the values of:

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13.

Given the attached parallelogram, find the values of:

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14.

Given the attached parallelogram, find the values of:

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15.

Given the attached parallelogram, find the values of:

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16.

Given the attached parallelogram, find the values of:

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17.

Given the attached parallelogram, find the values of:

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18.

Given the attached parallelogram, find the values of:

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19.

Given the attached parallelogram, find the values of:

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20.

Given the attached parallelogram, find the values of:

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21.

If
, then
.

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22.

If
, then
.

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23.

.

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24.

m
m
.

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6a.

Nokorɛ

Ɛnyɛ ampa

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6b.

Justify your answer.

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7a.

Nokorɛ

Ɛnyɛ ampa

1

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7b.

Justify your answer.

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8a.

Nokorɛ

Ɛnyɛ ampa

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8b.

Justify your answer.

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9a.

Nokorɛ

Ɛnyɛ ampa

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9b.

Justify your answer.