A and B are two similar 2D shapes

Mathematics

1 answer:

Alexandra [31]2 years ago

7 0

Answer: $312.5\ cm^2$

Step-by-step explanation:

Given

A and B are two similar shape with lengths of 12 cm and 15 cm

A has an area of $200\ cm^2$

For similar figures, ratio of the square of corresponding length is equal to the ratio of the area

$\Rightarrow \dfrac{200}{A_b}=\dfrac{12^2}{15^2}\\\\\Rightarrow A_b=\dfrac{15^2}{12^2}\times 200\\\\\Rightarrow A_b=312.5\ cm^2$

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For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, t

inn [45]

Answer:

translate down 3
reflect across the horizontal line through A

Step-by-step explanation:

1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.

In the first attachment, we have elected to translate the line down 3 units.

2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.

Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.

In the second attachment, we have elected to reflect the line across a horizontal line through A.