<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides
<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles
<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Answer: Point D is at (-5,2) as the first coordinate is on the "X" axis, and the second coordinate is on the "Y" axis. You would move down the x axis first going 5 to the left, as that would be negative. Then two up as that is positive on the y axis! Hope this Helps!
Step-by-step explanation:
Answer:
Bottom prism: 126*11=1386
Top Prism: 2*45=90
Total volume: 1386+90= 1746 cubic cm
Using translation concepts, the equation of F(x) is:
A. 
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is:
For function F(x), we have that:
- It was shifted down 2 units, hence F(x) = G(x) - 2.
- It was vertically compressed by a factor of 3, hence
Then the equation is:
A.
More can be learned about translation concepts at brainly.com/question/28098112
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4 less than five times a number is -11:
5x - 4 = -11
