Question

Translate triangle ABC 2 units left and 3 units up

What are the coordinates for point A?
1.(-5, 3)
2.(-4, 4)
3.-(-4, -2)
4.(0, 4)
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Which is NOT an appropriate classification for a triangle?
1.right equilateral
2. acute scalene
3.obtuse isosceles
4.right scalene

Answer 1

1) Point A will be at (-4,4)
2) I think an equilateral triangle can't be right triangle

Answer 2

Option 1. is correct

Explanation:

To find: the coordinates for point A

Solution:

From the graph, we can see coordinates of A =
`\left ( -2,1 \right )`

To find: Option which is not appropriate .

Solution:

For two points
`\left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right )`, distance is given by
`d=√(\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2)`

For AB,

`\left ( x_1,y_1 \right )=\left ( -2,1 \right )\,,\,\left ( x_2,y_2 \right )=\left ( 1,3 \right )`

`AB=√(\left ( 1+2 \right )^2+\left ( 3-1 \right )^2)=√(9+4)=√(13)`

For BC,

`\left ( x_1,y_1 \right )=\left ( 1,3 \right )\,,\,\left ( x_2,y_2 \right )=\left ( 4,1 \right )`

`BC=√(\left ( 4-1 \right )^2+\left ( 1-3 \right )^2)=√(9+4)=√(13)`

For AC,

`\left (x_1,y_1 \right )=\left ( -2,1 \right )\,,\,\left ( x_2,y_2 \right )=\left ( 4,1 \right )\\C=√(\left ( 4+2 \right )^2+\left ( 1-1 \right )^2)=√(36)=6`

So, AB = BC i.e, two sides are equal . Therefore, the given triangle can not be right equilateral as in equilateral triangle , all sides are equal .

Option 1. is correct