Determine whether each statement is true or false. if true, explain your reasoning . If false provide a counter example.

1. The diagonals of a rectangle always form four congruent triangles.
2. A quadrilateral has perpendicular diagonals. Is this enough to determine what type of quadrilateral it is?
3. Explain why drawing a diagonal on any parallelogram will always result in two congruent triangles

answer

step-by-step explanation:

where is the diagram? shown below where? ?

step-by-step explanation:

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

cause it equals more