Please help me with this math question
1 answer:
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Answer:
option: b is correct.
( b.Yes, because both figures are rectangles and all rectangles are similar )
Step-by-step explanation:
Yes, the rectangle EFGH is a result of dilation of rectangle ABCD with a center of dilation at the origin.
Also The scale factor of the dilation is greater than one as the image is bigger than the pre-image i.e. there is a stretch.
The scale factor could be calculated by the ratuio of the sides of the image to the pre-image rectangle.
Rectangle ABCD: Its vertices have coordinates A(-3,3), B(3,3), C(3,0) and D(-3,0).
Now consider rectangle EFGH: Its vertices have coordinates E(-4,4), F(4,4), G(4,0) and H(-4,0).
Hence the scale factor is:
Hence the scale factor is: 4/3.
Also
∠A=∠B=∠C=∠D=∠E=∠F=∠G=∠H=90°
( When a shape is dilated the two shapes are similar.And similar shapes have equal interior angles , corresponding sides are proportional ).
Hence option: b is correct.
( b.Yes, because both figures are rectangles and all rectangles are similar )