7. Construct Arguments Harriet says that it is not possible to draw a quadrilateral that
is not a trapezoid and not a parallelogram.
Is Harriet correct? Explain why or why not.

She is not correct because trapezoid and parallelogram are not the only type of Quadrilaterals.

Step-by-step explanation:

Quadrilaterals are basically 4 sided shapes. Examples include Square, rectangle, rhombus, parallelogram, trapezoid, kite e.t.c.

Now, Harriet is saying that it

is not possible to draw a quadrilateral that is not a trapezoid and not a parallelogram. This statement is wrong because aside trapezoid and parallelogram, I have listed other types of Quadrilaterals above that can be drawn.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.