A, D, N, and X are collinear points. D is between N and A. NA + AX = NX. Draw a diagram that represents this information.

HJ is twice JK . J is between H and K. If HJ=4x and HK=78, find JK.

Determine if the conjecture is valid by the Law of Detachment.

Given: If Tommy makes cookies tonight, then Tommy must have an oven. Tommy has an oven.

Conjecture: Tommy made cookies tonight.

(F) The conjecture is valid, because if Tommy didn't have an oven then he didn't make cookies tonight.

(G) The conjecture is not valid, because if Tommy didn't have an oven then he didn't make cookies tonight.

(H) The conjecture is valid, because Tommy could have an oven but he could make something besides cookies tonight.

(J) The conjecture is not valid, because Tommy could have an oven but he could make something besides cookies tonight.

Determine if the conjecture is valid by the Law of Detachment.

Given: If you want to go on a field trip, you must have a signed permission slip. Zola has a signed permission slip.

Conjecture: Zola wants to go on a field trip.

Identify the hypothesis and conclusion of the conditional.

A figure is a parallelogram if it is a rectangle.

Find the length. Given below are the following coordinates:

A(-2.5,0)

B(1,0)

C(3.5,0)

D(5,0)

BC

The class of 2004 holds a reunion each year. In 2005,87.5 percent of the 120 graduates attended. In 2006, 90 students went, and in 2007, 75 students went. About how many students do you predict will go to the reunion in 2010?

(A) 12

(B) 15

(C) 24

(D) 30

$\overrightarrow{F H}$ bisects $\angle E F G$. Use the Angle Addition Postulate to explain why m$\angle E F H=\frac{1}{2} \mathrm{~m} \angle E F G$.

A, B, C, D, and E are collinear points. AE=34, BD=16, and AB=BC=CD. What is the length of $\overline{CE}$?

(F) 10

(G) 16

(H) 18

(J) 24

Find a counterexample to show that the converse of each conditional is false.

If two angles are vertical angles, then they are congruent.

The measure of an obtuse angle is $(5 x+45)^{\circ}$. What is the largest value for $x$ ?

Which expression correctly states that $\overline{X Y}$ is congruent to $\overline{VW}$?

(A) $X Y \cong W W$

(B) $\overline{X Y} \cong \bar{W}$

(c) $\overline{X Y}=\bar{W}$

(D) $X Y=V W$

Find a counterexample to show that the converse of each conditional is false.

If x=-5, then x$^2=25$.

A student conjectures that if x is a prime number, then x+1 is not prime. Which of the following is a counterexample?

(F) x=11

(G) x=6

(H) x=3

(J) x=2