~

having the same shape

~

The definition of similar is **two things that have characteristics that resemble each other but are not exactly alike**. An example of similar is a cream skirt and a white skirt. adjective. 2. Having traits or characteristics in common; alike, comparable.

How to determine whether two triangles are similar using SSS and SAS similarity? **If the corresponding sides of two triangles are proportional, then the two triangles are similar**. If the two sides of two triangles are proportional and the included angles are congruent, the the triangles are similar.

For example, **all circles are similar to each other**, all squares are similar to each other, and all equilateral triangles are similar to each other. On the other hand, ellipses are not all similar to each other, rectangles are not all similar to each other, and isosceles triangles are not all similar to each other.

Main Differences Between Congruent and Similar

Congruent is the term used for the figures or shapes that are identical to each other in terms of shape and size whereas similar is the term that refers to the figures that look alike but do not have equal dimensions.

**Similar triangles have the same shape but sizes may vary but congruent triangles have the same shape and size**. Congruent triangles are represented by the symbol '≅' whereas similar triangles are represented by the symbol '~'.

If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar. Thus, if ∠A = ∠X and AB/XY = AC/XZ then ΔABC ~ΔXYZ.

Answer. Answer: **SAA is not the test of similarity**.

Similar shapes are **enlargements of each other using a scale factor**. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio. E.g. These two rectangles are similar shapes. The scale factor of enlargement from shape A to shape B is 2.

Another way to prove triangles are similar is by **SSS, side-side-side**. If the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.

To make congruent shapes, guide students to draw one shape, cut it out, and then trace it on a piece of paper and cut out the shape. Then have groups swap their figures and sort them into groups that are similar and groups that are congruent.

**Common examples of similar figures**

- A rectangular TV screen and the rectangular dining table top.
- A pole and a pencil.
- An egg and an oval mirror.
- A dice and a room.
- A clock dial and a Pizza.
- Chessboard and square-tiled floor.
- Mobile phone and calculator.
- A few pentagons around us.

Two figures are said to be similar **if they are the same shape**. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

Similar figures are **two figures having the same shape**. The objects which are of exactly the same shape and size are known as congruent objects. For example, in real life you will see, both the front wheels of a car, both hands of a person etc. are examples of congruent figures or objects.

**Rectangle and Rhombus** are similar.

Similarity is a quality of scaling: two shapes are similar if you can scale one to be like the other, like these triangles ABC and DEF. Since **all circles are of the same shape (they only vary by size), any circle can be scaled to form any other circle**. Thus, all circles are similar!

In Word, you can insert mathematical symbols into equations or text by using the equation tools. **On the Insert tab, in the Symbols group, click the arrow under Equation, and then click Insert New Equation**.

**On the Insert tab, in the Symbols group, click the arrow under Equation, and then click Insert New Equation**. Under Equation Tools, on the Design tab, in the Symbols group, click the More arrow. Click the arrow next to the name of the symbol set, and then select the symbol set that you want to display.

For doing sums you can use various symbols: **add (“ + ”), subtract (“ - ”), divide (“ / ”) and multiply (“ * ”)**. Mathematical symbols are called operators; that is, they operate on some data.

Dated : 16-May-2022

Category : Education