Polygons & Quadrilaterals

Meagan Fabacher, 7th Hour

Chart for Quadrilaterals

Tying it all together.
Big image

PARALLELOGRAMS

parallelogram: a quadrilateral with both pairs of opposite sides parallel

block #3: Parallelogram Example

In order to make triangle EFGH a parallelogram you must find the values of the x and y. First, you set opposite sides equal to each other (4x+13 and y+10) and (3y-2 and 12x+7). Next, you insert the equation and/or number you got from solving the first equation into the second equation and solve.
Big image

PROPERTIES OF PARALLELOGRAMS

1. Opposite sides are congruent (AB=CD)

2. Opposite angles are congruent (B=D)

3. Consecutive angles are supplementary (A+D=180 degrees)

4. If one angle is right, then all angles are right.

5. Diagonals of a parallelogram bisect each other.

6. Each diagonal of a parallelogram separates it into two congruent triangles.

block #5: TRAPEZOID AND ISOSCELES TRAOEZOID

compare and contrast a trapezoid and an isosceles trapezoid.
Big image

real life examples of trapezoids and isosceles trapezoids

block #6: TRAPEZOID EXAMPLE PROBLEM

For the problem below, angle F = 65 degrees because it is equal to angle C which is 65 degrees as well. Then, you set opposite sides equal to each other giving you 65 + x = 180 because they're supplementary angles. And you get 115 degrees as your answer and this makes angles E and D equal to 115 degrees.
Big image

block #7: KITES

kite: a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent

**if a quadrilateral is a kite, then its diagonals are perpendicular.


Example 1: These brownies are examples of a kite because there are no opposite sides that are congruent.

Example 2: This ring is an example of a kite because it has two pairs of consecutive sides that are congruent.

Big image
Big image

block #8: KITE EXAMPLE PROBLEM

For the problem below, first angle 1 is ALWAYS equal to 90 degrees. And then you set angle 3 to 52 degrees. Next, you add 90, 52 and the measure of angle 2 (finding out what this is in this equation) and set it all equal to 180 degrees. And then you solve for measure of angle 2, which we find out is 38 degrees.
Big image

block #9: VIDEO

Shapes in Real Life

block #10: WORKS CITED

block 1: chapter 6.1-6.2 powerpoint

block 2: first picture="Rectangle+trampoline - Google Search." Rectangle+trampoline - Google Search. N.p., n.d. Web. 01 Feb. 2016.

second picture= "Rhombus+in+real+life - Google Search." Rhombus+in+real+life - Google Search. N.p., n.d. Web. 01 Feb. 2016.

third picture= "Cinnamon+toast+crunch+squares - Google Search." Cinnamon+toast+crunch+squares - Google Search. N.p., n.d. Web. 01 Feb. 2016.

fourth picture= https://www.google.com/search?q=squares+in+real+life&safe=strict&espv=2&biw=1517&bih=741&source=lnms&tbm=isch&sa=X&ved=0ahUKEwif88mb_tbKAhXB4CYKHb_QBG0Q_AUIBigB&dpr=0.9#imgrc=KyfVjB8wFq32NM%3A

fifth picture= "Rhombus+pants - Google Search." Rhombus+pants - Google Search. N.p., n.d. Web. 01 Feb. 2016.

sixth picture= https://www.google.com/search?q=rectangles+in+real+life&safe=strict&espv=2&biw=1517&bih=741&source=lnms&tbm=isch&sa=X&ved=0ahUKEwiaoLOe_9bKAhXFKiYKHZqVCywQ_AUIBigB&dpr=0.9#imgrc=fFCR3RZIr0BVhM%3A


block #4: properties of parallelograms; chapter 6.3-6.5 powerpoint

block #5: compare and contrast chart: chapter 6.3-6.5 powerpoint


block #6: example picture 1= "Trapezoids+in+real+life - Google Search." Trapezoids+in+real+life - Google Search. N.p., n.d. Web. 01 Feb. 2016.

example picture 2= "Trapezoid+lantern - Google Search." Trapezoid+lantern - Google Search. N.p., n.d. Web. 01 Feb. 2016.

example picture 3=https://www.google.com/search?q=isosceles+trapezoid+tent&safe=strict&espv=2&biw=1517&bih=741&source=lnms&tbm=isch&sa=X&ved=0ahUKEwjOyqzhgNfKAhVIQyYKHUlgCWUQ_AUIBigB&dpr=0.9#safe=strict&tbm=isch&q=isosceles+trapezoid+in+real+life&imgrc=1YUVogea2_cdSM%3A

example picture 4= "Isosceles+trapezoid+tent - Google Search." Isosceles+trapezoid+tent - Google Search. N.p., n.d. Web. 01 Feb. 2016.


trapezoid problem: chapter 6.3-6.5 powerpoint

kite pictures: 1="Kite+brownies - Google Search." Kite+brownies - Google Search. N.p., n.d. Web. 01 Feb. 2016.

picture 2="Kite+ring - Google Search." Kite+ring - Google Search. N.p., n.d. Web. 01 Feb. 2016.


kite example problem: chapter 6.3-6.5 powerpoint


xn c c