Angles in a parallelogram-Geometry Help-MooMooMath

Hi welcome to MooMooMath Today we are going to look at angles in a parallelogram
First we need to know, “ what is a parallelogram?”
A parallelogram is Quadrilateral meaning a polygon with four sides with the opposite sides parallel. We have the top parallel to the bottom (BC is parallel to AD) and (AB is parallel to DC)
This is one property that defines a parallelogram. Another property of a parallelogram is that opposite angles are congruent to each other.
Angle B will be the same measure as angle D
Let's give the angle B a measure equal to 120 degrees. Because angle D is opposite angle B it will also have an angle measure of 120 degrees. Now A and C are congruent ,but they have to have a relationship to D and B and the relationship is that these two consecutive angles are supplementary ,which means they add to 180 degrees. If angle D is 120 degrees then angle A has to be 60 degrees and angle C has to be 60 degrees. Any pair of consecutive angles of a parallelogram are supplementary.
Also, the opposite angles are congruent. Let's try a practice problem. Let's change these numbers and angle C will equal to 80 degrees. We can figure out the other three angles. What do we know about angle A ? Angle A would have to be 80 degrees and angles D and B will have to be supplementary angles to 80, so each angle would be 100 degrees. Remember, opposite angles of a parallelogram are congruent, and adjacent angles are supplementary. Hope this video was helpful on angles of a parallelogram.

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Slope of a Line-Geometry Help-MooMooMath

The slope of a line is a measure of how the line angles away from the horizon and uses the formula rise over run. Video explains how to find the slope of a line and examples.

For more information and a summary of this video go to http://www.moomoomath.com

Related sites

Finding the slope of a line
http://www.coolmath.com/algebra/08-lines/06-finding-slope-line-given-two-points-01

How to find the slope of a line
https://www.youtube.com/watch?v=LR1cpFYCGdU

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Area of an Equilateral Triangle-Geometry Help-MooMooMath

How to find the area of an equilateral triangle.
The formula for the area of an equilateral triangle equals
1/2 base * height.

For more on equilateral triangles see
http://www.moomoomath.com/Equilateral-Triangle.html


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Volume of a Cone or Pyramid-Geometry Help-MooMooMath

How to find the volume of a cone and a pyramid

Example problems involving finding volume.
The formula for volume for both a cone and a pyramid equals 1/3Base times height

Example 1 = Find the volume of a cone with a slant height of 13 and a radius of 5 units.

Example 2= Find the volume of a pyramid with a square base with sides of 10 units and a slant height of 13 units.

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Trigonometry-Word Probems-Finding Angles using Sine-MooMooMath

Trigonometry Application Problems-Using Sine

This is a short trigonometry problem that uses the trig function sine in order to solve an application problem.The application problem is asking for an angle measure of a right triangle.

A skateboard ramp is 6 feet long and three feet high,what is the angle of elevation?

Step 1. Draw a picture. When you draw the picture you notice the ramp forms a right triangle.

Step2. See which sides of the right triangle you have. In this problem you have opposite and hypotenuse.

Step3. When you are finding angle you will use the inverse function of sine I call these backward problem

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Finding the surface area of a sphere-Geometry Help-MooMooMath

Simple directions for finding surface area and volume of spheres.The surface area of a sphere is the total area of the curved surface. The volume of a sphere is the amount of space enclosed by the sphere.

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Pythagorean Theorem-Word Problems-Geometry Help-MooMooMath

Pythagorean Theorem Examples
In this video you will learn...
• How to solve a word problem using the Pythagorean Theorem
• Simple rules for setting up Geometry word problems
• How to apply the Pythagorean theorem to find the hypotenuse of a right triangle
• If given two sides of a right triangle how to find the missing side. * Check out my site MooMooMath http://www.moomoomath.com/ * Subscribe https://www.youtube.com/channel/UCE_W... * Google+ https://plus.google.com/u/0/+MooMooMa... * Pinterest https://www.pinterest.com/moomoomath/