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Lesson 2 Properties of Parallelograms

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Posljednje ažuriranje 5 months ago
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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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Pitanje 1
1.

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

  • Only one pair of opposite sides congruent

  • Equiangular quadrilateral

  • Diagonals bisect each other

  • Both pairs of opposite sides are congruent

  • Both pairs of opposite angles are congruent

  • Equilateral quadrialteral

  • Both pairs of opposite sides are parallel

  • Diagonals are perpendicular.

  • A diagonal divides the parallelogram into two congruent triangles

  • Diagonals bisect its angles

  • Diagonals are congruent.

  • Only one pair of opposite sides parallel

  • Consecutive angles are supplementary

  • Properties of Parallelograms

Pitanje 2
2.

Given Parallelogram BART, find the values of:

Pitanje 3
3.

Whiteboard notes

Pitanje 4
4.

Given Parallelogram MORK, find the values of:

1
Pitanje 5a
5a.

1
Pitanje 5b
5b.

Justify your answer

Pitanje 10
10.

In Parallelogram ABCD, m

and m

m

Pitanje 11
11.

In Parallelogram ABCD, diagonals

and
intersect at E.
,
and
.


Pitanje 12
12.

Given the attached parallelogram, find the values of:

Pitanje 13
13.

Given the attached parallelogram, find the values of:

Pitanje 14
14.

Given the attached parallelogram, find the values of:

Pitanje 15
15.

Given the attached parallelogram, find the values of:

Pitanje 16
16.

Given the attached parallelogram, find the values of:

Pitanje 17
17.

Given the attached parallelogram, find the values of:

Pitanje 18
18.

Given the attached parallelogram, find the values of:

Pitanje 19
19.

Given the attached parallelogram, find the values of:

Pitanje 20
20.

Given the attached parallelogram, find the values of:

1
Pitanje 21
21.

If

, then
.

1
Pitanje 22
22.

If

, then
.

1
Pitanje 23
23.

.

1
Pitanje 24
24.

m

m
.

1
Pitanje 6a
6a.

1
Pitanje 6b
6b.

Justify your answer.

1
Pitanje 7a
7a.

1
Pitanje 7b
7b.

Justify your answer.

1
Pitanje 8a
8a.

1
Pitanje 8b
8b.

Justify your answer.

1
Pitanje 9a
9a.

1
Pitanje 9b
9b.

Justify your answer.