Answer:
The side must have a length of <u>7</u> units
and be parallel to the <u>y</u>-axis
The y-coordinate for the third vertex must be <u>-3</u> or <u>11</u>
He can draw <u>4</u> isosceles right triangles
Step-by-step explanation:
∵ The side joining (-2 , 4) and (5 , 4) is horizontal (same y-coordinates)
∴ Its length = 5 - 2 = 7
∴ The side from the one of the two given vertices to the third
vertex must be vertical so it's parallel to the y-axis
∴ The x-coordinate will be -2 or 5
∵ The distance between the y-coordinates of the third vertex
and one of the given point is 7
∴ 4 - y = 7 ⇒ y = 4 - 7 = -3
∴ y - 4 = 7 ⇒ y = 4 + 7 = 11
∴ The y-coordinate of the third vertex must be -3 or 11
∴ The third vertex is (-2 , -3) , (-2 , 11) , (5 , -3) , (5 , 11)
∴ Amara can draw 4 isosceles right triangles
