Omplete the paragraph proof.

given: m is the midpoint of

prove: δpkb is isosceles

triangle p b k is cut by perpendicular bisector b m. point m is the midpoint of side p k.

it is given that m is the midpoint of and . midpoints divide a segment into two congruent segments, so . since and perpendicular lines intersect at right angles, and are right angles. right angles are congruent, so . the triangles share , and the reflexive property justifies that . therefore, by the sas congruence theorem. thus, because finally, δpkb is isosceles because it has two congruent sides.

corresponding parts of congruent triangles are congruent
base angles of isosceles triangles are congruent
of the definition of congruent segments
of the definition of a right triangle

Complete paragraph proof withe Diagram is below.

Δ PMB ≅ Δ KMB ...........SAS congruence theorem

∴ PB ≅ KG ......corresponding parts of congruent triangles are congruent

Step-by-step explanation:

Complete the paragraph proof.

Given: M is the midpoint of

Prove: ΔPKB is isosceles

Triangle P B K is cut by perpendicular bisector B M. Point M is the midpoint of side P K.

It is given that M is the midpoint of and . Midpoints divide a segment into two congruent segments, so . Since and perpendicular lines intersect at right angles, and are right angles. Right angles are congruent, so . The triangles share , and the reflexive property justifies that . Therefore, by the SAS congruence theorem. Thus, because __corresponding parts of congruent triangles are congruent _.

Finally, ΔPKB is isosceles because it has two congruent sides.

Δ PMB ≅ Δ KMB ...........SAS congruence theorem

∴ PB ≅ KG ......corresponding parts of congruent triangles are congruent

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

a

step-by-step explanation: