Which statement is not necessarily true?
given: line de is the perpendicular bisector of line jl
for my answer, i put that dk = ke
can someone check my answer : ) youu!

The given relationship between lines and is found by noting the

given relationship between the lines.

Reasons:

⊥ Given in the question

is the perpendicular bisector of

Therefore, = Definition of bisected line

Point K is the midpoint definition of point of bisection of line

=

∠JKD = ∠LKD = 90°, definition of perpendicular line

In ΔDKJ, and ΔDLK, = , = ,and ∠JKD = ∠LKD

Therefore;

ΔDKJ ≅ ΔDLK by Side-Angle-Side, SAS rule of congruency

Therefore;

DJ = DL by Congruent Parts of Congruent Triangles are Congruent,

CPCTC  also by the equidistant of points on a perpendicular bisector from

the end points of the bisected line.

Which gives;

The only statement that is not necessarily true is the statement;

DK = KE , given that the relationship between DK and KE is not specified.

Learn more about perpendicular bisection here:

link

the answer is mc^1-1jpeg

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be