This video gives direction for finding the perimeter of a rectangle when only one side is given.
The diagonal of a rectangle creates a right triangle that can be used to find the missing side.
Common Core Standard G-GPE.7
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Use these shortcuts to help find leg lengths and the hypotenuse of a 30-60-90 triangle.
For example,if you are given the leg length how can you quickly find the hypotenuse?
If you are given the hypotenuse of a 30 60 90 triangle,how do you find the leg length?
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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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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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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 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.
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MooMooMath provides helpful Geometry videos. In this video tangent and radius of a circle is covered.When you combine the radius of a circle, along with the point of tangency, a right triangle can be created. The Pythagorean Theorem can be used to calculate missing parts of the triangle and circle, along with the tangent lengths. These measurements include leg length,circle radius, and the hypotenuse.
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Introduction to congruent triangles. This video explains five methods for proving that triangles are congruent. The five methods for triangle congruence are
SSS Side Side Side
SAS Side Angle Side
ASA Angle Side Angle
AAS Angle Angle Side
HL Hypotenuse Leg
In addition each method has several examples and explains why the triangles are congruent along with tips and guidance from a veteran Geometry teacher.
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What are similar triangles? Similar triangles are triangles in which the only difference is size. Similar triangles have corresponding sides that have the same ratio and equal angles.
Video Guide
0:15 Definition Similar Triangles
1:04 Rules for solving similar triangles explained
Set up a proportion then solve the proportion
1:37 Sample problem similar triangles solved with step by step directions
2:45 Sample problem finding missing sides on similar triangles with step by step directions
Finding the area of a triangle of an isosceles triangle. The formula for area of a triangle is 1/2 base times height.
Step 1. Determine your base
Step 2. Find the altitude
Step 3. You can find the height by creating a right triangle by drawing a line from your vertex.
Step 4. Use the Pythagorean Theorem to determine the missing leg of the right triangle which will be your height.
Step 5. Plug the altitude (height) into 1/2base x height
For more information on area of triangle see
http://www.moomoomath.com/Finding-the-area-of-a-triangle.html#.Ul861VCsiSo
Think of surface area of a cone as how much ice cream you can stuff in an ice cream cone
Surface area of a cone explained. The surface area of a cone is found by finding the lateral area and adding this to the base area.