Solved: Tell whether each statement is true or false. Then write the converse andtell

If 2x 1 =5, then x = 3.

If she's smart, then I'm a genius.

8v = 40 implies y = 5.

RS = jRT if S is the midpoint of RT.

^\ = ^2 if mA\ = msL2.

Zl = Z2 only if m L 1 = m L 2.

Combine the conditionals in Exercises 5 and 6 into a single biconditional.

8. If AB = BC, then B is the midpoint of AC.

If a line lies in a vertical plane, then the line is vertical.

If a number is divisible by 4, then it is divisible by 6.

If a number is divisible by 4, then it is divisible by 6. 11. If x2 = 49, then x = 7.

If today is Friday, then tomorrow is Saturday.

If x > 0, then x~ > 0.

If a number is divisible by 6, then it is divisible by 3.

If 6x = 18, then x = 3.

Give an example of a false conditional whose converse is true

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. If x = -6, then |jc| = 6.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. If x2 = 4, then x = -2.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. If b > 4, then 5b > 20.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. If m L T = 40, then Z. T is not obtuse.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. If Pam lives in Chicago, then she lives in Illinois.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. If LA =LB, then mLA = mLB.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. 2 > 9 if a > 3.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. x = 1 only if x2 = x.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. n > 5 only if n > 7.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. ab = implies that a = or b = 0.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. If points D, E, and F are collinear, then DE + EF = DF.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. P is the midpoint of GH implies that GH = 2PG.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. Write a definition of congruent angles as a biconditional.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. Write a definition of a right angle as a biconditional.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false. What can you conclude if the following sentences are all true? (1) If/?, then q. (2) p (3) If q, then not r. (4)sorr.

Find the values of x and v for each diagram.

Find the values of x and v for each diagram.

Can the measure of a complement of an angle ever equal exactly half the measure of a supplement of the angle? Explain.

You are told that the measure of an acute angle is equal to the difference between the measure of a supplement of the angle and twice the measure of a complement of the angle. What can you deduce about the angle? Explain.