Write a brief summary about similar figures

Mathematics

2 answers:

Darina [25.2K]2 years ago

5 0

Similar figures are the same shape but not the same size. you can find out the scale by using parallel lines.

Anna11 [10]2 years ago

3 0

Answer:

*You could just look it up.

Here's what I found on google:

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. This common ratio is called the scale factor.

So basically, similar figures are 2 figures that are the same shape.

They don't have to be the same size.

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T F IfA and B are similar matrices, then AT=BT

muminat

Answer:

Step-by-step explanation:

We know that for two similar matrices $A$ and $B$ exists an invertible matrix $P$ for which

$[tex]B = P^{-1} AP$ [/tex]

∴ $B^{T} = (P^{-1})^{T} A^{T} P^{T} \\$

Also $P^{-1}P = I\\$

and $(P^{-1})^{T} = (P^{T})^{-1}$

∴ $(P^{-1})^{T}P^{T} = I$

so, $B^{T} = (P^{-1})^{T} A^{T} P^{T} = (P^{T})^{-1}A^{T} P^{T}\\B^{T} = A^{T} I\\B^{T} = A^{T}$

7 0

3 years ago

kodGreya [7K]

Answer:

I’m pretty sure it’s Triangle ABC is congruent to Triangle DEF.

Step-by-step explanation:

If you rotate Triangle DEF to where the 90 degree angle is on the bottom right, you can the compare the two triangles. You can divide 300/25, 240/20, and 180/15. They all result in 12 meaning they are congruent and similar in that way. (I’m only 90% this is right btw)

3 0

3 years ago

Two positive consecutive numbers are represented by x and x+1. If four is added to the first

Naya [18.7K]

Step-by-step explanation:

<h3> new numbers are x+4 and x-1</h3>

so, x+4/x-1=11/16

16x+64=11x-11

16x-11x=-11-64

5x=-75

x = -15

also, x+1 = -14