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bogdanovich [222]
2 years ago
5

Help ita due in 5 mins

Mathematics
1 answer:
marin [14]2 years ago
7 0

A rigid transformation is one in which the distance between pairs of points

are preserved, and the image and preimage have the same dimensions.

  • The transformations that will produce an image that is congruent to the given figure is; <u>Number 1 and 2</u>.

Reasons:

The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)

The given transformations are;

1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis

The above transformation is a double reflection.

2. GHIJ is rotated about the origin 90° counterclockwise. The resulting

image is translated up 2 units.

3. GHIJ is dilated by a scale factor of \mathbf{\frac{1}{2}}, with the center of dilation at the

origin. The resulting image is translated 2 units left.

Required:

The transformations that produce an image that is congruent to the given figure:

Solution:

Two figures are congruent if they have the same size and shape.

With the given figure being the trapezoid GHIJ, we have that a

transformation that will give an image that is congruent to the preimage

which is the trapezoid GHIJ is a rigid transformation.

Rigid transformations are;

  • Reflection
  • Rotation
  • Translation

The combinations of transformation given within the scenario that consists

of only rigid transformations are scenario 1 and scenario 2.

Therefore, the correct option is; <u>Numbers 1 and 2</u>.

Learn more about rigid transformation here:

brainly.com/question/1801406

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Eight times a sum of a number is 5
nata0808 [166]

Answer:

Step-by-step explanation:

So 8 times what is 5?

8 times x=5

x=0.625

4 0
3 years ago
Which description best compares the graphs given by the equations:
nexus9112 [7]

x - 5y = -5, -5x - 25y = 25

First, you'll need to get the x variable by itself.

x - 5y = -5<u>
</u><u>    +5    +5</u><u>
</u>       x = 0
So x is plotted on the 0.

For the second part of the first equation, you'll be looking for what the y variable represents.

x - 5y = -5
<u>-x           -x</u><u>
</u>     <u>-5y</u> = <u>-5</u><u>
</u><u>       5      5</u><u>
</u>        y = 1
So y is plotted on the 1 on the vertical line above the 0.

For the first part of the second equation, you'll do the same thing as in the first equation.

-5x - 25y = 25
<u>        +25   +25</u><u>
</u>          <u>-5x</u> = <u>50</u><u>
</u>            5      5
            x = 10
So the x for this equation is plotted on 10 on the horizontal line.

For the second part of the second equation, you will do the same thing as in the first equation.

-5x - 25y = 25
<u>+5               +5</u><u>
</u>       <u>-25y</u> = <u>30</u><u>
</u>        25      25
           y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.

<h2>Answer: B) Perpendicular</h2>

Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.

Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.

Intersecting means the lines may or may not be of equal length but will touch each other.

6 0
2 years ago
Could I get help on some algebra? I need the explanation to know how to do it. +45 points
Fiesta28 [93]

Answer:

C

Step-by-step explanation:

A is right, D is right because they are on the outside and on different sides, B is actually right since they are on the inside and on different sides, so that leaves c, so this has to be the wrong one because they are not both interior since 5 is on the outside and 6 is inside even if they are both on the same side

6 0
3 years ago
Mai and Tyler work on the equation 2/5 b + 1 = -11 together. Mai’s solution is b= -25 and Tyler’s is b = -28 Here is their work.
alisha [4.7K]

Answer:

<em>I disagree with both solutions. The value of b that will make the expression correct is -30</em>

Step-by-step explanation:

Given the equation solved my Mai and Tyler expressed as:

2/5 b + 1 = -11

We are to check the veracity of the solutions;

2/5 b + 1 = -11

Subtract 1 from both sides of the expression

2/5 b + 1 -1 = -11-1

2/5 b = -12

Cross multiply

2b = -12 * 5

2b = -60

Divide both sides by 2

2b/2 = -60/2

b = -30

<em>Since the solution b = -25 and -28 does not tally with the gotten solution, I disagree with the both solutions</em>

6 0
3 years ago
What is the equation of the graphed line​
11Alexandr11 [23.1K]

Answer:

y = 2x + 3

Step-by-step explanation:

The y-intercept is clearly marked:  it's b = 3 (or 0, 3).

Going from the point (-3, -3) to the point (0, 3),

x increases by 3 and y increases by 6.  Thus, the slope of the line through these two points is m = rise / run = 6 / 3, or m = 2.

Starting with the slope-intercept form of the equation of a straight line:

y = mx + b, we substitute 2 for m and 3 for b, obtaining:

y = 2x + 3

6 0
3 years ago
Read 2 more answers
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