(02.05 MC)
2 answers:
Answer:
<em>Dilation by a scale factor of 2 followed by reflection about the x-axis</em>
Step-by-step explanation:
To answer it and view it properly let's do it by parts.
1) A closer look at the Triangle ABC shows us the coordinate points A(-2,-1) B(0,0) and C(1,-3).
2) Reflection across the x-axis gives us this triangle: A'(-2,1) B'(0,0) and C'(1,3). Notice that all y-coordinates have an opposite sign. This is a natural characteristic of a Reflection: an opposed sign of one Coordinate.
3) Finally, To Dilate a Triangle is to transform it so that it gets bigger than its original size.
If we compare the triangle with points A''(-4,2) B"(0,0) and C"(2,6) to A'(-2,1) B'(0,0) C'(1,3). Each coordinate is multiplied by 2.
Dilation by a scale factor of 2 followed by reflection about the x-axis
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Answer:
Leon is correct. (Option 1)
Step-by-step explanation:
Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.
Step 1: Find the greatest common factor of the given lengths: 7
Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5
Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.
we have to explain whether or not Leon is correct.
As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem
⇒
Let a, b, c forms a Pythagorean triplet
Multiplied by 4 on both sides
⇒
⇒
Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.
∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
Hence, Leon is correct.