A composition of a reflection and a translation is called a __________________

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A reflection is a transformation across a line called the line of reflection, so that the line of reflection is the perpendicular bisector of each segment joining each point and its image. ... A translation is an isometry , so the image of a translated figure is congruent to the preimage.

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Help please! I’m giving brainliest to however gets this question right.

Arisa [49]

Answer:

They both have area 4

Step-by-step explanation:

Area of the square:

$base*height = 2 * 2 = 4$

Area of the triangle:

Using the left-side of the triangle as the base, and the height from the left-side to the bottom-right corner:

$\frac{1}{2}base*height$

$\frac{1}{2}4\sqrt2*\sqrt2=4$

We know the length of the diagonal is $\sqrt2$ as we are using a centimetre grid, so we can create an isosceles triangle with side lengths 1 and our unknown length, we can then use Pythagorean Theorem to work out our unknown side length.