1. from the statement select the related given statement. through a point outside a line one line can be drawn parallel to the line. plane r is parallel to plane s; plane t cuts planes r and s. △abc with ∠1 = ∠2. point b is between points a and c line l; point p not on l. △abc with midpoints m and n. 2. from the statement select the related given statement. if two parallel planes are cut by a third plane, the lines of intersection are parallel. plane r is parallel to plane s; plane t cuts planes r and s. △abc with ∠1 = ∠2. point b is between points a and c line l; point p not on l. △abc with midpoints m and n. 3. from the statement select the related given statement. in a triangle a segment joining the midpoints of two sides is one-half the length of the third side. plane r is parallel to plane s; plane t cuts planes r and s. △abc with ∠1 = ∠2. point b is between points a and c line l; point p not on l. △abc with midpoints m and n. 4. from the statement select the related given statement. if b is between a and c, then ab + bc = ac plane r is parallel to plane s; plane t cuts planes r and s. △abc with ∠1 = ∠2. point b is between points a and c. line l; point p not on l. △abc with midpoints m and n.

1. Line l; point P not on l.( Take a line I and mark point P outside it or on the line.So from point P there are infinite number of lines out of which only one line is parallel to line I. Suppose you are taking point P on line I, from that point P also infinite number of lines can be drawn but only one line will be coincident or parallel to line I.

2. Plane R is parallel to plane S; Plane T cuts planes R and S.(Imagine you are sitting inside a room ,consider two walls opposite to each other as two planes R and S and floor on which you are sitting as third plane T ,so R and S are parallel and plane T is cutting them so in this case their lines of intersect .But this is not possible in each and every case, suppose R and S planes are parallel to each other and Plane T cuts them like two faces of a building and third plane T is stairs or suppose it is in slanting position i.e not parallel to R and S so in this case also lines of intersection  will be parallel.

3. △ABC with midpoints M and N.( As you know if we take a triangle ABC ,the mid points of sides AB and AC being M and N, so the line joining the mid point of two sides of a triangle is parallel to third side and is half of it.

4.Point B is between points A and C.( Take a line segment AC. Mark any point B anywhere on the line segment AC. Three possibilities arises

(i) AB > BC (ii) AB < BC  (iii) AB = BC

Since A, B,C are collinear .So in each case  

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation:

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