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iren2701 [21]
3 years ago
9

Annie is adding the expression 4 + 5 + (–4) and follows the procedure of starting at 4, moving right 5 units, and then moving le

ft 4 units.
Beth says she knows another way to find the sum, using the additive inverse property. What procedure could Beth use?

Mathematics
1 answer:
jekas [21]3 years ago
4 0

Answer:

Step-by-step explanation:

hello

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We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABC

We want to dilate triangle ABC by scale factor of 2 at the center (0,2)

The image is shown below as triangle A'B'C' with coordinates (8.6), (8,18), and (18,6). 

Triangle ABC has a base of 4 units and a height of 6 units
Triangle A'B'C' has a base of 8 units and a height of 12 units

Applying Pythagoras theorem to triangle ABC to find the hypotenuse
BC^{2}= AB^{2}+ AC^{2}
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BC=2 \sqrt{13}

Now, we calculate the hypotenuse of the image
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B'C'^{2}= 8^{2}+ 12^{2}
B'C'^{2}=208
B'C'= \sqrt{208} =4 \sqrt{13}

The hypotenuse of the image is twice the hypotenuse of triangle ABC which proof the two shapes are similar shape


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