Given: AD is parallel to BC m< D = 8x + 20 m

Given:AD is parallel to BCm< D = 8x + 20m<A = 150 – 6xm<C = 12x + 60

Find xFind m<BIs AB parallel to DC?

A

C

B

D

<A and <D are supplementary150 - 6x + 8x +20 = 180x = 5m<D = 60m<A = 120m<C = 120Since <D is supplementary to <A, AB is parallel to DC.

5.4 Four-Sided Polygons

5.4 You will present 5.4 with your classmates MUST INCLUDE ALL VOCABULARY WORDS You will have all period and 20 minutes

tomorrow for your presentation Brainstorm different ideas:

PowerPoint Song Poster Notebook in Smartboard Software Game Worksheet YOU WILL BE GRADED FOR THIS ASSIGNMENT!

Presentation 5Well Spoken and

Clearly Organized – Full Participation

4Organized and Clear – Full Participation

3Correct information – point came across – mostly everyone

participated

2Some Incorrect information –

unorganized – less than half

participated

1Incorrect

information – unorganized –

unclear – only one person participated

Vocabulary Terms

5Organized, clear,

correctAll vocabulary terms

presented

4Contains the correct

information, few mistakes, organized,

all vocabulary words presented

3Mostly correct, contains some

errors, main idea

2Incorrect

information, unorganized,

unclear

1No vocabulary

terms

Creativity 5Extreme Creativity!

4Above Average

Creativity

3Average Creativity

2Below Average

Creativity

1No Creativity

Example Proof 5All information

correct

4Few Errors

3Average Proof – More than a few

mistakes

2Frequent mistakes

1No proof

Polygons: Many sided figures Straight line segments Consecutive sides intersect at

endpoints Each vertex belongs to only two

sides

Name polygons by their sides, either clockwise or counter clock wise.

Convex Polygons: A polygon in which each interior angle has a measure less than 180 degrees.

yes

no

Diagonals: a diagonal of a polygon is any segment that connects two non-consecutive (nonadjacent) vertices of a polygon.

Formula for diagonals:

D = n(n-3) 2

Where n = number of sides

Quadrilaterals: 4 sided polygons. Parallelogram: both pairs of opposite

sides are parallel Rectangle: at least one right angle Rhombus: at least two consecutive

sides are congruent Kite: two disjointed pairs of consecutive

sides are congruent Square: parallelogram that is a

rectangle and a rhombus

Trapezoid: a quadrilateral with exactly one pair of parallel sides. Parallel sides are called the bases of the trapezoid

Isosceles trapezoid: trapezoid in which non-parallel sides (legs) are congruent. Base angles are lower and upper base angles.