Famous Polygons in GEOMETRY

Matthew Pham, 8th Hour

Quadrilateral

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PARALLELOGRAM (BLOCK 2)

3 types:

RHOMBUS

RECTANGLE

SQUARE

RHOMBUS Pictures

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RHOMBUS INFO

A Rhombus has 4 Congruent sides

RECTANGLE PICTURES

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RECTANGLE INFO

Rectangle has 4 congruent angles and does not have congruent sides.

SQUARE PICTURES

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SQUARE INFO

A square is a parallelogram that has congruent sides and angles.

PARALLELOGRAM EXAMPLES (BLOCK 3)

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Steps

1) measure of angle 1 is 90 because of right angle

2) measure of angle 2 is 58 because of alt. interior

3) measure of angle 3 is 58 because opposite angles are congruent.

4) measure of angle 4 is 32 because of adding measurement of angles 1, 2, and 3 and subtracting from 180 because a triangle is equal to 180.

Properties of parallelogram (BLOCK 4)

PROPERTIES

If a parallelogram is a rhombus, then the diagonals are bisecting each other.

If a parallelogram is a rectangle, then it has 4 right angles.

if a parallelogram is a square, then it has 4 congruent sides and right angle (4)

TRAPEZOID AND ISOSCELES TRAPEZOID CP & CT (BLOCK 5)

Similiarities and Differences

Similarities: Both are Trapezoids, and have base angles, and legs.


Difference: Trapezoid only has ONLY 1 pair of parallel sides. Isosceles Trapezoid has diagonals that are congruent.

TRAPEZOID PICTURES EX

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PURSE TRAPEZOID

This trapezoid in real life purse has 1 pair of congruent sides.

The angles across each other are congruent, but when opposite, the angles diagonal are not congruent.

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Suitcase

This suitcase in a shape of trapezoid has 1 parallel side and the sides of the suitcase are congruent.

Isosceles Trapezoids Pictures

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Stained Glass

The stained glass has 1 congruent pairs and that the right side is congruent.
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Crate

The crate top is congruent.

TRAPEZOID AND ISOSCELES TRAPEZOID EXAMPLE WITH WORK (BLOCK 6)

Trapezoid EXAMPLE

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Steps

1) write formula QR=1/2 (LM+N)

2) use reciprocal of 1/2 to 2 and multiply with x and PURENTHESIES stays the same.

3) combine like terms and solve for x.

Isosceles Trapezoid EX

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Steps

1) find angles that are congruent.

2) congruent angles are angle D and angle E are congruent. Angle C and Angle F are congruent.

3) solve and find the other measurements

4) angle C and angle F are congruent. Both are 65

5) subtract 180 from 65. Angle D and angle E are congruent and equal to 115

KITES (BLOCK 7)

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Example

This Kite has 3 separated shape-like kites and all three are congruent.
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Example 2

These two kites has the congruent angles.

Kite Example (BLOCK 8)

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Steps

1) measurement of angle 1 is 90 because right angle

2) measurement of angle 3 is 52 because congruent angle to 52

3) measurement of angle 2 is 38. Add measurement of angles 1 and 3 and subtract 180.

VIDEO (BLOCK 9)

Link in case

"Geometry Found in the Real World." YouTube. YouTube, n.d. Web. 23 Jan. 2016.

Cite Citations.

"Quadrilateral - Google Search." Quadrilateral - Google Search. N.p., n.d. Web. 19 Jan. 2016.

"Parallelogram+rhombus - Google Search." Parallelogram+rhombus - Google Search. N.p., n.d. Web. 19 Jan. 2016.

"Rectangle+real+lfe - Google Search." Rectangle+real+lfe - Google Search. N.p., n.d. Web. 19 Jan. 2016.

"Parallelogram+square - Google Search." Parallelogram+square - Google Search. N.p., n.d. Web. 19 Jan. 2016.

"Trapezoid+real+life - Google Search." Trapezoid+real+life - Google Search. N.p., n.d. Web. 20 Jan. 2016.

"Trapezoid+real+life - Google Search." Trapezoid+real+life - Google Search. N.p., n.d. Web. 20 Jan. 2016.

"Kite+geometric+shape - Google Search." Kite+geometric+shape - Google Search. N.p., n.d. Web. 22 Jan. 2016.

"Geometry Found in the Real World." YouTube. YouTube, n.d. Web. 23 Jan. 2016.