Polygons
Caroline Hebert, 7th hour
Different Quadrilaterals
Parallelograms
A rhombus is a parallelogram with 4 congruent sides. In this picture, the bag she's carrying has 4 congruent sides.
How to solve a parallelogram
1. Solve for X and Y
2. Identify what you already know by looking at the parallelogram in the problem.
1. You know that 6x=18 because they are alternate interior angles.
2. You know that 3y+4=5y+2 because diagonals bisect each other.
3. Solve for X
2. To isolate your variable, you have to divide 18 by 6
3. 18 divided by 6 is 3
4. Your answer is X=3
4. Solve for Y
2. Combine like terms...By subtracting 2 from 4
3. Isolate your variable...By divide 2y by 2
4. Your answer is Y=1
Your answer...
Y=1
Check your answer
If your answers for corresponding angles equal each other, then you are correct.
Properties of Parallelograms
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
If one angle is right, then all angles are right.
The diagonals of a parallelogram bisect each other.
Isosceles trapezoid
Real life examples of an isosceles trapezoid....
The Window
Popcorn COntainer
Real life examples of a trapezoid...
The Box Garden
The Airplane Wing
How to solve a Trapezoid
Solve for X
Write out your equation.
Plug in your numbers from the picture.
Simplify the parenthesis.
Get rid of the fraction.
Multiplied by Two.
Combine like terms.
Combine like terms again.
Isolate X.
Your Answer...
Solve for QR.
QR=5
Solve LM.
LM=6
Kite
Real life examples of a geometric kite...
A kite
The Stone in the ring
How to solve a Kite...
Solve for the missing angles.
Identify what you know.
Identify what you know.
Solve for the measure of angle 2
1. Set up everything to equal 108
2. Add 52 and 90 (combine like terms)
3. Subtract 142 from both sides of the equation
4. The measure of angle 2 equal 38 degrees
Your answer is...
Angle 2 = 38 degrees
Angle 3 = 52 degrees