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tikirawallace

29.01.2020 •

Mathematics

In the figure, abcd is a square centered at the origin with side length 2a. what are the coordinates of the vertices?

In the figure, abcd is a square centered at the origin with side length 2a. what are the coordinates

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Ответ:

batoolishak7475

16.01.2022

Work shown above! Vertices are:
A ( -a,-a)
B (-a,a)
C (a,a)
D(a,-a)
*in the pic it says "since the side length is a" suppose to say 2a
In the figure, abcd is a square centered at the origin with side length 2a. what are the coordinates

In the figure, abcd is a square centered at the origin with side length 2a. what are the coordinates

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Ответ:

helvonka

28.07.2020

$\angle 2 =60$

$\angle 3 = 60$

$\angle 4 = 120$

$\angle 5 = 120$

$\angle 6 = 60$

$\angle 7 = 60$

$\angle 8 = 120$

Step-by-step explanation:

Given

$\angle 1 = 120^\circ$

See attachment

Required

Determine the other angles

$\angle 1$ and $\angle 2$ are on a straight line.

So;

$\angle 1 + \angle 2 =180$

Make $\angle 2$ the subject

$\angle 2 =180 - \angle 1$

$\angle 2 =180 - 120$

$\angle 2 =60$

$\angle 1$ , $\angle 4$ , $\angle 5$ and $\angle 8$ are corresponding angles.

So;

$\angle 4 =\angle 1 = 120$

$\angle 5 =\angle 1 = 120$

$\angle 8 =\angle 1 = 120$

Similarly; $\angle 2$ , $\angle 3$ , $\angle 6$ and $\angle 7$ are corresponding angles.

So;

$\angle 3 =\angle 2 = 60$

$\angle 6 =\angle 2 = 60$

$\angle 7 =\angle 2 = 60$

If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try i

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