Geometry Chapter 2
5. Given: If two angles are vertical angles, then they are congruent.
The Law of Detachment: If P-Q is true & P is true, then Q must be true.
6. Write the conclusion using the true statements. If no conclusion possible, write no conclusion.
The Law of Syllogism states that if P->Q & Q->R, then P->R
13. Solve the 2 column proof.
Use geometrics truths to justify each step used.
16. Solve the 2 column proof.
Use geometrics truths to justify each step used.
15. Find the value of each variable. Vertical Angles & Linear Pairs
Use linear pairs and vertical angles to solve.
12. Use the given information and figure to find the value of x. XY is congruent to WX
Use the transitive property to determine the congruent segments & solve.
10. Use the given information and figure to find the value of X. Given: B is the midpoint of Segment AC, AC=52
A midpoint divides a segment into 2 congruent segments.
11. Points L, M, and N are collinear with M between L and N. LM=13, MN=7x-8, and Ln=10x-7
Draw a figure, state the Segment Addition Postulate, substitute values into SAP, solve the problem.
7. Use the figure to solve the logic problem below.
Fill in the given information and them use the process of elimination to solve.
3. Rewrite the biconditional statements as a conditional statement and its converse. Determine if the biconditional is true or false. If false, state why.
For the biconditional to be true, the conditional and the converse must be true.
1. Write the conditional statement in if-then from, then write the converse, inverse, and contrapositive.
If P, the Q = P->Q, Converse: Q->P, Inverse: ~P->~Q, Contra: ~Q->~P
9. Solve the system by using substitution.
If two things are equal, one can be subbed for the other at any given time. -Substitution Property
8. State the correct property for each statement.
Reflexive: a=a, anything is equal to itself. Symmetric: If a=b, then b=a. Transitive: If a=b & b=c, then a=c
14. Given: Ray Kl bisects JKM
Since Ray KL is bisector, then 2 smaller angles are congruent.
