Unit 6 Math Project by Joshua Jorgensen

6-2 Properties of Rectangles, Rhombuses, and Squares

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Rectangle

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Parallelogram that contains 4 right angles and diagonals are congruent

Rhombus

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Parallelogram with four congruent sides and perpendicular diagonals

6-1 Properties of a Parallelogram

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Square

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Rhombus with 4 congruent sides and 4 right angles, therefore, a square is a rectangle and a rhombus

6-3 Trapezoid and Kite Properties

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Example 1

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EG = HF
m

Example 3

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mJK = KL

Example 2

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QT = 17, TS = 3x+5, RS = 6y-7, solve for x and y

Quadrilateral

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All 4 sided shape

Parallelogram

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A quadrilateral in which opposite sides are parallel.

Kite

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Quadrilateral with 2 distinct pairs of congruent consecutive sides

Trapezoid

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Quadrilateral with at least one pair of parallel sides

Isosceles Trapezoid

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Trapezoid in which legs are congruent but not parallel

Property 1

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Consecutive angles are supplementary (180 degrees)

Property 2

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Opposite sides are congruent

Example 1

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Find m

Property 3

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Diagonals bisect each other

Property 4

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Opposite angles are congruent

Solution

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ML = 32 LK = 32
mJK = KL = MJ = ML

Solution

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mmmEF = 15

Example 2

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CD = 15

Example 3

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Find x and y

Solution

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y = 4
x = 4

Solution

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EG = HF
mEH = 6in, FG = 6in

Solution

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Solution

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115

Solution

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x = 35
y = 40

Example

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Find the missing measures

How To

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Using algebra, combine like terms to find the interior and exterior angle measures.

How To

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Use algebra to solve for x and y, then add up the angle measures to find the total, or missing measure.

Solution

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RU = 9 cm
m

How To

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Opposite sides are congruent, and consecutive angles are supplementary, therefore the angle parallel to the listed one will be the same

Unit 6

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Example 2

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Video for Example 2

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