If point C lies between two points A and B such that AC=BC, then
1 answer:
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To find the area of his exclusion zone you would need to understand that a triangle with dimensions of 3, 4, and 5 represent a right triangle.
This means the exclusion zone would be applied to the base and the height of the triangular space.
You would add 2 km to the 3 km, and 2 km to the 4 km to create a new height of 5 km and a new base of 6 km.
Please see the attached picture to understand this.
You will find the area of the total space created by the new triangle and subtract the space represented by the original triangle to find the area of the exclusion zone.
(1/2 x 6 x 5) - (1/2 x 4 x 3)
15 km² -6 km² equals 9 km².
The exclusion space is 9 km².
This means the exclusion zone would be applied to the base and the height of the triangular space.
You would add 2 km to the 3 km, and 2 km to the 4 km to create a new height of 5 km and a new base of 6 km.
Please see the attached picture to understand this.
You will find the area of the total space created by the new triangle and subtract the space represented by the original triangle to find the area of the exclusion zone.
(1/2 x 6 x 5) - (1/2 x 4 x 3)
15 km² -6 km² equals 9 km².
The exclusion space is 9 km².
Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°
We need to determine the coordinates of the point A'
<u>Reflection over the y - axis:</u>
The coordinates of the point A is (-2,1)
The transformation rule to reflect across the y - axis is
Substituting the point (-2,1) in the rule, we get;
Thus, the coordinates of the point A after reflection over the y - axis is (2,1)
<u>Reflection over the x - axis:</u>
The transformation rule to reflect across the x - axis is
Substituting the point (2,1) in the rule, we get;
Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)
<u>Rotation about 180°:</u>
The transformation rule to rotate about 180° is
Substituting the point (2,-1) in the rule, we get;
Thus, the coordinates of the point A after the rotation about 180° is (-2,1)
Therefore, the coordinates of the point A' is (-2,1)
Hence, Option B is the correct answer.