Why does the vertical line test determine if the graph represents a function?
2 answers:
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Option A:
The length of diagonal JL is .
Solution:
In the quadrilateral, the coordinates of J is (1, 6) and L is (7, 3).
So that,
To find the length of the diagonal JL.
Using distance formula:
units
The length of diagonal JL is .
Option A is the correct answer.
We will have to use the distance formula in order to determine the lengths of each side of the triangle.
Distance formula:
Let's calculate AB first:
A (1, 7) and B (-2, 2)
A: x1 = 1 and y1 = 7
B: x2 = -2 and y2 = 2
so
AB =
or (rounded to the nearest tenth) ≈ 5.8
Now let's do BC:
B: x1 = -2 and y1 = 2
C: x2 = 4 and y2 = 2
So
BC =
or 6
Now let's do CA
C: x1 = 4 and y1 = 2
A: x2 = 1 and y2 = 7
So
CA =
or (rounded to the nearest tenth) ≈ 5.8
So let's recap:
AB ≈ 5.8
BC = 6
CA ≈ 5.8
So AB and AC are the same length while BC is .2 units longer which means this is an isosceles triangle.
Distance formula:
Let's calculate AB first:
A (1, 7) and B (-2, 2)
A: x1 = 1 and y1 = 7
B: x2 = -2 and y2 = 2
so
AB =
Now let's do BC:
B: x1 = -2 and y1 = 2
C: x2 = 4 and y2 = 2
So
BC =
Now let's do CA
C: x1 = 4 and y1 = 2
A: x2 = 1 and y2 = 7
So
CA =
So let's recap:
AB ≈ 5.8
BC = 6
CA ≈ 5.8
So AB and AC are the same length while BC is .2 units longer which means this is an isosceles triangle.