Question

Translate triangle ABC 2 units left and 3 units up

Answer 1

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

Answer 2

Answer:

Option 1. is correct

Step-by-step 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 $d=\sqrt{\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2}$

For AB,

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

$AB=\sqrt{\left ( 1+2 \right )^2+\left ( 3-1 \right )^2}=\sqrt{9+4}=\sqrt{13}$

For BC,

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

$BC=\sqrt{\left ( 4-1 \right )^2+\left ( 1-3 \right )^2}=\sqrt{9+4}=\sqrt{13}$

For AC,

$\left (x_1,y_1 \right )=\left ( -2,1 \right )\,,\,\left ( x_2,y_2 \right )=\left ( 4,1 \right )\\C=\sqrt{\left ( 4+2 \right )^2+\left ( 1-1 \right )^2}=\sqrt{36}=6$

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