Which of the following descriptions represents the transformation shown in the image
2 answers:
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The scale factor of dilation is .
When describing an enlargement you must state by how much the shape has been enlarged or reduced.
Area of triangle B =
= 0.5 x 2 x 3
= 3 units
Area of triangle A =
= 0.5 x 4 x 6
= 12 units
Scale factor =
=
=
Hence, the scale factor of dilation is .
Learn more about scale factor here:
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Answer:
(a) scalene, see attachment
(b) acute, see attachment
(c) correct; isosceles
Step-by-step explanation:
(a) The sides of the triangle all have different lengths, so the triangle is scalene. Differences in coordinates between the points of the triangle are (6, 2), (5, 2), and (4, 1), so no two distances between these points can be the same.
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(b) The angle opposite the longest side is clearly an acute angle, so the triangle is an acute triangle.
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(c) Miles and Brad live on the same north/south line. Jose lives at a distance that is halfway between those houses in the north-south direction. Hence the distance to Miles' and Brad's houses must be the same from Jose's house. That means the triangle connecting Miles', Brad's, and Jose's houses will be an isosceles triangle.
