This is a video tutorial on how to prove congruent triangles with SSS and SAS test. SSS means side-side-side and SAS means side-angle-side. For applying the SSS test of congruency, each side of one triangle must be congruent to the corresponding side of the other triangle. For applying the SAS test of congruency, two corresponding sides of the two triangles must be congruent as well as the angle between those two sides of each triangle must be congruent. Follow the rest of the video to unders...
In this "Math Made Easy" geometry episode, you learn how to prove that two triangles are congruent (equal) by using the "side-side-side" evidence. By using "side-side-side" to prove that two triangles are congruent, you are stating that all the respective corresponding sides of two triangles are equal in length thus proving the triangles are congruent. The narrator in this tutorial provides you with definitions about statements, proofs, and congruency. This becomes useful when setting up a ta...
This video shows how to fold an origami paper game using ordinary paper. The instructor recommends you use double sides and colored paper. The first step instructed is to make four congruent folds. You then bring all four corners to the middle of the paper. The instructor tells you to fold the bottom sheet outwards to make the origami paper game design. The last step is to draw numbers and fortunes on all the different label sides. The instructor has many other video listed text instructions.
In this tutorial, we learn how to understand the properties of a rectangle. A rectangle has four interior angles that add up to 360 degrees. All of the angles have to be exactly 90 degrees in a perfect rectangle. Two opposite sides have to be congruent and parallel. The other opposite sides also have to be congruent and parallel. The diagonals of the rectangle are not perpendicular but they are congruent and they intersect at the mid points. Diagonals are not perpendicular, but they are congr...
This is how to calculate the area of a rhombus. A rhombus is a quadrilateral shape in which all sides are congruent. A rhombus has two sets of parallel lines, the diagonals of which form 90-degree angles at the point they meet. Also the angles opposite to one another are congruent. The area of a rhombus can be gotten by multiplying both the diagonals and then dividing the total by 2. Say one of the diagonals is 10 and the other is 12, the area will be 10 x 12 = 120/2 = 60. That is how to calc...
This is a tutorial about how to prove the congruency (equality) of two triangles when the values of two angles and an included side of each triangle is given. The author of this video instructs the viewer that it should be first determined whether the values of two angles of one triangle are the same as those of two angles of the other triangle. Then one must seek to determine the equality of sides included in those angles in both the triangles. When it is found that these three values in one...
This video explains about the rule of corresponding angles. When measuring the angle between the parallel lines (i.e.) Line1 and Line2 across the straight line. The angle A and angle B are equal. The angle C and angle D are equal. The angle E and angle F are equal. Finally angle G is equal to angle F. So, the angle between the parallel lines in all the angles are equal. Hence, this is the rule of corresponding angles. This video is very useful to basic high school geometry courses. Correspond...
In this video we learn how to understand the Rule of Vertically Opposite Angles. This says that when two straight lines cross it produces vertically crossed lines that must have congruent angles. Because the lines are straight this has to happen. Remembering the rule "supplementary" you will be able to calculate the angle of A and B in the equation. Prove what each of the angles are using the different rules and then move onto the other two angles. Angle C can be figured out by knowing that i...
In this tutorial, we learn how to understand special quadrilaterals. A quadrilateral is a shape with four sides. Three figures of these are: kites, parallelograms, and trapezoids. Two types of parallelograms are the rhombus and the rectangle. Rectangles have four right angles. A square is also a parallelogram, which has four right angles and two congruent sides. A square is always a rhombus a parallelogram is always a quadrilateral and a kite is always a quadrilateral. The parallelogram is so...
In this video tutorial, viewers learn how to find an angle using alternate interior angles. Make sure that the angles are alternate interior angles. Alternate interior angles are angles that are on the inside of the parallel lines, and on the opposite side of the transverse. The transverse is the line that passe through the two parallel lines. If both angles are inside the line and are opposite to the transverse, then they are alternated interior angles. If you know two angles are alternate i...
This video from Yay Math! is a geometry lesson on how to complete a proof involving segments. He draws a line segment with four points labeled A, B, C and D. The problem is as follows: Given: AC is equivalent to BD. Prove that AB is equivalent to CD. The first statement of proof is the given. Next, you need to define the congruent segments and state that they're equal in measurement. Next, break down the segments: AC=AB+BC, and BD=BC+CD. This is called segment addition postulate. The end of t...
Money math is back for a chill lesson on completing a proof involving angles. This proof touches on complementary angles, definition of congruent angles, Angle Addition Postulate, and substitution. YAY MATH! This video will demonstrate exactly how to complete a proof involving angles.
This video describes the properties of a parallelogram. It states that it is a quadrilateral, meaning that the four angles inside have to add up to 360 degrees. Both sides of the parallelogram are always going to be parallel. Also, both sides are congruent, as well as the opposite angles. It also has two diagonals that intersect at a midpoint. This video will teach you the main properties of a parallelogram and help you better understand its angles and the physical makeup of it.
There is no shortage of games for your iPhone, and I'm sure you and your friends are probably sick to death of playing Candy Crush Saga by now. To spice things up, instead of waiting for cool new addicting games to come out, take control and make your own, then share them with your friends.
The video shows us how to find the area of parallelogram using geometry. Here in this video it is done by using an example where the parallelogram is given ABCD. The area of the parallelogram is base times height (bh). Here the base is given as 15 but the height is not known but it is represented by the segment BD. To find the value of h, let’s use right triangle BDC on the right side of the figure. Since base is 15 and the opposite side of the parallelogram is congruent, the hypotenuse of th...
In my last guide, I showed how you could crack the combination of any Master Lock combination padlock in 8 tries or less using my online calculator. Now, as promised, I'll be showing you how I devised the attack, which is based off the well-known technique that reduces the 64,000 possible combinations of a Master Lock down to just 100. Here, I will be drilling open a Master combo lock to show you how the insides work.
A 45 45 90 triangle is a special right triangle because you can use short cuts to find leg length and hypotenuse length. This video solves two problems involving leg length and hypotenuse length.
As a kid, my mother would always bring the noodles onto the table in a colander, then bring the pot of sauce she cooked separately. So I grew up with the idea that pasta and sauce were two separate entities that you combined table-side, and continued to eat pasta that way well into my adulthood when cooking at home. It was only much later that I realized the error of my ways... that pasta could taste so much better than I had previously imagined.
Not all polygons are tessellation shapes. A tessellation is a collection of figures that can be put together to fill a plane surface without overlaps or gaps. I’m sure that you have already seen many tessellations in real life. The tiles in the kitchen and the puzzle you have solved are nothing but tessellations.
A pyramid is a three-dimensional figure with a polygonal base and a vertex. The base can be a triangle, quadrilateral, pentagon, hexagon, or other type of polygon.
Halloween is coming up, so many of you may have a need or desire to carve a pumpkin and turn it into a Jack O' Lantern. This week we are going to explore carving our pumpkins into interesting geometric shapes. In this post, we will carve the pumpkins into spherical versions of polyhedra, and in Thursday's post we will carve 2 dimensional stars and some simple fractal designs into the pumpkins.
