Plot triangle ABC on graph paper with points A(2,2). B(-2, -2) and C(8, -2).
1 answer:
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Answer:
a) The new triangle is a reflection of the original across the origin. All angles, segment lengths, and line slopes have been preserved: the transformed triangle is congruent with the original.
b) The new triangle is a reflection of the original across the origin and a dilation by a factor of 2. Angles have been preserved: the transformed triangle is similar to the original. The transformation is NOT rigid.
Step-by-step explanation:
1. The transformed triangle is blue in the attachment. It is congruent with the original. The transformation is "rigid," a reflection across the origin. All angles and lengths have been preserved, as well as line slopes.
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2. The transformed triangle is orange in the attachment. It is similar to the original, in that angles have been preserved and lengths are proportional. It is a reflection across the origin and a dilation by a factor of 2. Line slopes have also been preserved. A dilation is NOT a "rigid" transformation.
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Answer:
The zeros of the given polynomial function are
2,2,
Step-by-step explanation:
Given polynomial is
To find the zeros equate the given polynomial to zero
ie., P(x)=0
By using synthetic division we can solve the polynomial:
2_| 1 -4 -1 20 -20
0 2 -4 -10 20
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1 -2 -5 10 |_0
Therefore x-2=0
x=2 is a zero of P(x)
Now we can write the cubic equation as below:
Again using synthetic division
2_| 1 -2 -5 10
0 2 0 -10
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1 0 -5 |_0
Therefore x-2=0
x=2 is also a zero of P(x).
Now we have
is a zero of P(x)
Therefore the zeros are 2,2,