Ultimate Quadrilateral Outline Review formula for Sum of exterior - - PowerPoint PPT Presentation

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Ultimate Quadrilateral Outline Review formula for Sum of exterior - - PowerPoint PPT Presentation

Mar 23, 2023 166 likes •829 views

Ultimate Quadrilateral Outline Review formula for Sum of exterior angles 360 formula for Sum of interior angles (n-2)180 formula for 1 exterior angle, regular 360/n formula for 1 interior angle, regular (n-2)180 / n Concave/Convex?

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SLIDE 1

Ultimate Quadrilateral Outline Review

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SLIDE 2

Sum of exterior angles

formula for

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SLIDE 3

360

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Sum of interior angles

formula for

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SLIDE 5

(n-2)180

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1 exterior angle, regular

formula for

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SLIDE 7

360/n

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SLIDE 8

1 interior angle, regular

formula for

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SLIDE 9

(n-2)180 / n

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SLIDE 10

Concave/Convex? Type of Polygon?

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SLIDE 11

concave dodecagon

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Concave/Convex? Type of Polygon?

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convex pentagon

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Two words that define “regular”

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SLIDE 15

equilateral & equiangular

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List the Equilateral Quadrilaterals

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SLIDE 17

rhombus and square

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SLIDE 18

List the equiangular quadrilaterals

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SLIDE 19

rectangle and square

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SLIDE 20

Can you have a regular concave polygon?

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SLIDE 21

no, the angle made by the concave sides is > 180 and is not congruent to the other angles

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Can you have a regular convex polygon?

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SLIDE 23

yes

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List the quadrilaterals that have perpendicular diagonals

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SLIDE 25

rhombus, square, kite

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SLIDE 26

List the quadrilaterals that have congruent diagonals.

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SLIDE 27

rectangle, square, isosceles trapezoid

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SLIDE 28

List the quadrilaterals that have diagonals that that bisect both pairs of

  • pposite angles.
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SLIDE 29

rhombus, square

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SLIDE 30

List the quadrilateral that bisects only 1 pair

  • f opposite angles.
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SLIDE 31

kite

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SLIDE 32

What is the midsegment theorem?

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SLIDE 33

(base + base) / 2

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List the parallelograms that have perpendicular diagonals.

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SLIDE 35

rhombus square

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SLIDE 36

What non-parallelogram has perpendicular diagonals?

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SLIDE 37

kite

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SLIDE 38

List the parallelograms that have congruent diagonals.

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SLIDE 39

rectangles and squares

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SLIDE 40

List all of the quadrilaterals that have 4 pairs of supplementary consecutive angles.

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SLIDE 41

parallelogram, rectangle, rhombus, square

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SLIDE 42

List the quadrilateral that has exactly 1 pair of congruent opposite angles.

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SLIDE 43

kite

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SLIDE 44

List the quadrilateral that has 2 pairs of congruent consecutive angles.

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SLIDE 45

isosceles trapezoid

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SLIDE 46

List the quadrilaterals that have 1 pair of parallel sides.

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SLIDE 47

trapezoids and isosceles trapezoids

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SLIDE 48

What has parallel sides and is NOT a parallelogram?

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SLIDE 49

trapezoids and isosceles trapezoids

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Its a parallelogram. Find the value for each variable.

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21 & 8

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Find the values of the missing angles.

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K=136, M = 44, L = 136

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SLIDE 54
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B

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SLIDE 56
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D

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SLIDE 58

F A R T 60 40

What is A + T?

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SLIDE 59

260

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SLIDE 60

If the measure of an exterior angle of a regular polygon is 45, what is the sum of the interior angles?

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SLIDE 61

1080

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SLIDE 62

Solve for x.

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3

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y = ?

y

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68