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Nuetrik [128]
3 years ago
11

How are the properties of reflection used to transform a figure?

Mathematics
2 answers:
Lunna [17]3 years ago
8 0

Answer:When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). ... Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure.

Step-by-step explanation:

Dmitriy789 [7]3 years ago
5 0

Answer:

The properties of reflection are used when we want to reflect a figure across a specific line, it can be across y-axis, x-axis, y = x or y = -x.

In either case, the result is a reflection, that is, those lines will work as a mirror, having the same shape and size but reflected across the line.

<em>It's important to say that a reflection is a rigid transformation, which means the shape or size of the figure won't chance.</em>

<em />

If we want to reflect across the y-axis, the transformation is:

(x,y) \implies (-x,y)

Across the x-axis: (x,y) \implies (x,-y)

Across the line y = x: (x,y) \implies (y,x)

Across the line y = -x: (x,y) \implies (-y,-x).

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classify each angle pair using all the names that apply using the diagram on the left , answering 1 2 3 4 and 5 , explain why.(
vredina [299]

Answer:

  see the attachment

Step-by-step explanation:

1.  Two angles that sum to 90° are <em>complementary</em>, whether they are adjacent or not. Angles LMN and NMP are also <em>adjacent</em>.

2.  Vertical angles created by two distinct lines are <em>never adjacent</em>. The sides of the angles are created by the same lines, and the angles share a vertex, but there is no ray that is a side common to both angles.

3.  Angle GMK is supplementary to angle JMG.

4.  Vertical angles are congruent. See question 2.

5.  See question 1.

6 0
3 years ago
Which expression gives the distance between the points
Anna35 [415]

Answer:

  D.  √((2 +4)² +(5 -8)²)

Step-by-step explanation:

The distance is found using the formula ...

  d = √((x1 -x2)² +(y1 -y2)²)

Selection D has this formula properly filled in with the values ...

  (x1, y1) = (2, 5)

  (x2, y2) = (-4, 8)

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2x%7D" id="TexFormula1" title="\frac{3}{2x}" alt="\frac{3}{2x}" align="absmid
defon

Answer:

x=35/78

Step-by-step explanation:

3/2x-11/5=(7/8)*(64/49)

3/2x-11/5=8/7

3/2x=8/7+11/5

3/2x=117/35

x=(35*3)/(2*117)

x=35/78

3 0
3 years ago
The number 20 is no less than the difference of 4 times a number c and 8.
sammy [17]

Answer:

20 >= 4*c - 8

Step-by-step explanation:

5 0
2 years ago
Find the distance between the points (2, 7) and (-6, -2).
maw [93]

Answer:

Approximately 12.04 units.

Step-by-step explanation:

The find the distance between any two points, we can use the distance formula, which is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:

d=\sqrt{(-6-2)^2+(-2-7)^2

Subtract:

d=\sqrt{(-8)^2+(-9)^2

Square:

d=\sqrt{64+81}

Add:

d=\sqrt{145}

Approximate

d=\sqrt{145}\approx12.04

So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.

And we're done!

7 0
3 years ago
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