A triangle has two sides of length 13 and 9. What is the smallest possible whole-number length for the third side
1 answer:
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The best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.
There are four main categories of transformations:
- Translation (figure slides in any direction)
- Reflection (figure flips over a line)
- Rotation (figure turns about a fixed point)
- Dilation (the figure is enlarged or reduced)
A stiff transformation known as an isometry maintains perimeter and area while also preserving length and angle measurements. In other words, there is congruence between the preimage and the image. Translations, reflections, and rotations are therefore isometric, but dilations are not since the image and preimage are comparable, rather than congruent figures.
The transformation in the question will be isometric when the preimage of the rectangle before 360° rotation, will be congruent to the image after the rotation.
The congruency is best described by the option "The rectangle did not change shape or size", as that is the basis of congruency.
Thus, the best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.
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The provided question is incomplete. For the complete question, refer to the attachment.
The magnitude of the vectors is 7.2
The magnitude of a vector is resolved by using a formula
<h3>Magnitude of a Vector</h3>This is the displacement between two vectors and can be calculated as
where x is the magnitude of displacement between y and z.
In this question, the vectors are
- -4
- -6
Let's find the magnitude of this vector
The magnitude of the vectors is 7.2
Learn more on magnitude of vectors here;