Answer: #7 is A and #8 is D
Step-by-step explanation:
<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 :)
49
Because 7x7 is 49 & 4+9=13
Hi Brainiac
7/8 =?/48
Let's replace the unknown place by x
7/8 = x/48
Cross multiply
(7)(48)= (X)(8)
336 = 8x
Flip it
8x = 336
Divide both sides by 8
8x/8 = 336/8
x= 42
The answer is C
Now if you wanna see if the answer is good just replace 42 in blank space
7/8 = 42/48
Now didivde 7 by 8 and divide 42 by 48
7/8= 0.875
42/48= 0.875
The answer C is correct
I hope that's help:)
If you have questions please let me know :)
Answer: Jessie still has 3/10 left.
Step-by-step explanation:
Convert 2/5 into tenths by multiplying by 2.
2/5 x 2 = 4/10
3/10 + 4/10 = 7/10
The entirety of her homework is 10/10 so do
10/10 - 7/10 = 3/10
She has 3/10 left.
