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77julia77 [94]
2 years ago
5

How does the orientation of the image of the triangle compare with the orientation of the preimage?

Mathematics
1 answer:
Studentka2010 [4]2 years ago
8 0

The complete question is:

Joni translates a right triangle 2 units down and 4 units to the right. How does the orientation of the image of the triangle compare with the orientation of the preimage?

The orientation (will/will not) be the same.

Answer:

  • <u><em>The orientation will be the same</em></u>

Explanation:

The <em>orientation</em> of a figure is described by the angles of its sides with respect to some cartesian axis system.

The figure is said to be translated.

<em>Translation</em> consits in sliding the figure without changing the orientation: all the angles with respect to the original axis system remain unchanged.

When <em>Joni translates a right triangle 2 units down and 4 units to the right</em>, the triangle is just shifted down and to the right, but the <em>orientation </em>will not change; it <em>will remain the same</em>.

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i. 171

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Solution,

n(U)= 630

n(I)= 333

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i. Let n(I intersection T ) be X

333 - x + x + 468 - x = 630 \\ or \: 333 + 468 - x = 630 \\ or \: 801 - x = 630 \\ or \:  - x = 630 - 801 \\ or \:  - x =  - 171 \\ x = 171

<h3>ii.n(only I)= n(I) - n(I intersection T)</h3><h3> = 333 - 171</h3><h3> = 162</h3>

<h3>iii. n ( only T)= n( T) - n( I intersection T)</h3><h3> = 468 - 171</h3><h3> = 297</h3>

<h3>Venn- diagram is shown in the attached picture.</h3>

Hope this helps...

Good luck on your assignment...

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