<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:
<h2>621.207km</h2>
Step-by-step explanation:
We are expected to convert from miles to kilometer
first day 85 miles =136.794km
Second day 125 mile=201.168km
third day 176 miles =283.245km
Total distance covered is
136.794km+201.168km+283.245km=621.207km
Therefore the total distance in kilometer is 621.207km
Since perimeter means adding all 4 sides, you divide 86 divided by 4 equals = 21.5. Then do 21.5 + 21.5 which equals 43. And 43 + 43 = 86. So two sides are 21.5, and the other two sides are 43. So 21.5 < 43. 21.5 is the shortest sides. Hope this Helps!
The ARC cosine of .28 = 73.74 degrees
the sine of 73.74 degrees = .96
Step-by-step explanation: The <em>intersection</em> of two figures can
be defined as the set of points that is contained in both figures.
In this figure, lines <em>h</em> and <em>i</em> intersect at C or we can
say that C is the intersection of lines <em>h </em>and <em>i</em>.
In this figure, C is the intersection of lines <em>h</em> and <em>i</em>
because C is the point contained by both <em>h</em> and <em>i</em>.
