<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:
115%(15,800)= $18,170. <--- markup price
$15,800+$18,170= $33,970 total price
That is 115% x $15,800 = $18,170 markup price
Then add the original price to the markup price
That is $15,800 + $18,170 = $33,970
Probability ( a flowering plant or fruit plant) is 
and Probability (neem plant or peepal plant) is 
.
Step-by-step explanation:
Given,
Number of neem plant = 125
Number of peepal plant = 165
Number of creppers plant = 50
Number of fruit plant = 150
Number of flowering plant = 110
To find the probability ( a flowering plant or fruit plant)
and probability ( neem or peepal)
Formula
P( A or B) = P(A) + P(B)
Probability ( a flowering plant or fruit plant) = 
= 
=
And,
Probability (neem plant or peepal plant) = 
= 
=
Answer:
True
Step-by-step explanation:
5/8-2/8=3/8
5-3=2
2+3/8=2 3/8
