PL has endpoints P(4, −6) and L(−2, 1). The segment is translated using the mapping (x, y) → (x 5, y). What are the coordinates
2 answers:
The coordinates of P' is (9, -6) and L' is (3, -1).
<h2>Given that</h2>PL has endpoints P(4, −6) and L(−2, 1).
The segment is translated using the mapping (x, y) → (x + 5, y).
<h3>We have to determine</h3>
What are the coordinates of P’ and L’?
<h3>According to the question</h3>PL has endpoints P(4, −6) and L(−2, 1).
The segment is translated using the mapping (x, y) → (x + 5, y).
The coordinates of point P after translation using mapping is,
And the coordinates of point L after translation using mapping is,
Hence, The coordinates of P' is (9, -6) and L' is (3, -1).
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Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
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<em>Additional comment</em>
It is impossible to specify an equilateral triangle using rational coordinates.
