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3 years ago

Describe the transformation in the figure below

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

Answer:

A) Reflection.

Step-by-step explanation:

From the figure shown, we can see that the blue triangle is flipped about the x-axis to form the red triangle.

When an object is flipped about a line, then this transformation is called reflection about that line.

Thus, we can say that reflection is taking place in the figure shown in which the x-axis is acting like a mirror. The blue triangle is the pre-image and the red triangle is the image after reflection.

The reflection about x-axis is given by:

$Pre-image(x,y)\rightarrow Image(x,-y)$

We can check the co-ordinates of the triangles and confirm the the transformation occurring

Points of pre-image triangle:

$(0,2),(4,5),(6,2)$

Points of image triangle

$(0,-2),(4,-5),(6,-2)$

Thus, the transformation is reflection.

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3 years ago

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Px = missing length
xy = 3
Py = 6
these are the 3 sides of a right triangle; let's use the Pythagorean theorem to find Px
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3 years ago