Demonstration of the Volume of a Cone compared to the volume of an equal sized cylinder using water.
In this demonstration, you will see how the volume of a cone is 1/3 the volume of a cylinder that has an equal radius and height.
The volume of a cylinder is equal to πr^2 x height
The volume of a cone equals 1/3 πr^2 x height
Therefore, it should take three cones of water to fill up an equal sized cylinder.
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 video explains how to find the area of a sector and how to find the sector area of a circle. Please see the video guide for more detail.
Circles part 2 lesson 4
Video Guide
00:13 Definition of a sector
00:35 Formula for area of a circle
00:40 Sample problem- finding the area of a circle when given the radius
01:26 Sample problem - finding the area of a circle when given the diameter
02:21 Formula for area of a sector reviewed and explained
03:48 Sample problem - find the area of a sector
04:50 Sample problem - find the area of a sector
06:29 Sample problem- find the area of a circle given the sector area
09:20 Sample problem - find the radius of a circle given a central angle and the sector area
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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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