Author: admin
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What is slope? Definition and real-life examples
What is slope? If you have ever walked up or down a hill, then you have already experienced a real life example of slope. As you go uphill, you may feel like you are spending lots of energy to get yourself to move. The steeper the hill, the harder it is for you to keep…
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How to find a reflection image
To find a reflection image of a point or a shape, there are some rules you can follow although it is not always possible to follow a rule. First, let us start with all situations where you can just follow a rule to quickly find the location of the reflected image on the coordinate system.…
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How to find a translation image
To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. P = (x, y) translates to P’ = (x + a, y…
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Transformations in math
Transformations in math occur when there is a change in position, shape, or size. When you are playing with a jigsaw puzzle, you could move a puzzle piece by sliding it, flipping it, or turning it. Each of these moves is a transformation of the puzzle piece. In a transformation, the original figure is a preimage and…
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Similar triangles
Similar triangles are triangles whose corresponding angles are equal. This does not mean that corresponding sides are also equal. If the sides are also equal, we say that the triangles are congruent. Triangle ABC and triangle EFG are similar for the following reasons: The corresponding angles are equal. Generally speaking, If you are looking at two…
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Similar shapes
Similar shapes have different sizes, but the same shape. Congruent shapes have the same size and the same shape. Circles whose radii are not the same are similar. In fact, all circles are similar because all circles must have the same shape. For the circles below, the ratio of the diameter of the small circle to…
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Properties of congruence
The three properties of congruence are the reflexive property of congruence, the symmetric property of congruence, and the transitive property of congruence. These properties can be applied to segment, angles, triangles, or any other shape.Reflexive property of congruence The meaning of the reflexive property of congruence is that a segment, an angle, a triangle, or…
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Congruent triangles
Congruent triangles have the same size and the same shape. When triangles are congruent, all corresponding sides and corresponding angles are also congruent or equal. For example, the two triangles below are congruent. Corresponding angles are angles in the same position. Corresponding sides are sides that are in the same position. The two triangles above have a…
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Congruent shapes
Congruent shapes have the same size and the same shape. In other words, if you place an object in front of a mirror, the image that you see is congruent or ” equal ” to the object. When shapes are congruent, all corresponding sides and angles are also congruent.Look at the following two triangles.You should…
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Volume formulas
Here, we provide you with volume formulas for some common three-dimensional figures and also for the ellipsoid and the hollow cylinder that are not so common. Cube: Volume = a3 = a × a × a Cylinder: Volume = π × r2 × h π = 3.14h is the heightr is the radius Rectangular solid or cuboid:…