You are given the values of the coordinates of four points abcd. explain the conditions for these 4 points to (hint: these have something to do with the slope of the lines):
a) form a parallelogram
b) form a rectangle
what is the additional requirement if the four points are to form a square?
can two lines both having negative slope be perpendicular to one another why?

Can two lines both having negative slope be perpendicular to one another. why?

Ans:

Both lines are perpendicular if and only if the product of both gradient equal to -1. If both gradient have negative sign, that’s mean the answer will be in positive sign. Thus, two lines both having negative slope cannot be perpendicular to one another.

366

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.