1. Review

2. Find the value of x. The diagram is not to scale.

3. Points B, D, and F are midpoints of the sides of EC = 30 and DF = 23
Points B, D, and F are midpoints of the sides of EC = 30 and DF = 23. Find AC. The diagram is not to scale.

4. Find the length of the midsegment. The diagram is not to scale.

5. The length of DE is shown
The length of DE is shown. What other length can you determine for this diagram?

6. Q is equidistant from the sides of angle TSR Find the value of x
Q is equidistant from the sides of angle TSR Find the value of x. The diagram is not to scale.

7. Which statement can you conclude is true from the given information?
Given: AB is the perpendicular bisector of IK.
AJ = BJ
∡𝐼𝐴𝐽 𝑖𝑠 𝑎 𝑟𝑖𝑔ℎ𝑡 𝑎𝑛𝑔𝑙𝑒
IJ = JK
A is the midpoint of IK

8. Identify two sets of parallel segments in the diagram.

9. Find EF and DG. For each length, justify your answer
Find EF and DG. For each length, justify your answer. If you cannot determine the length of one or both of the segments, write not enough information.

10. Given: Segment BC ≅ Segment DA, ∠1 ≅ ∠2 Prove: ΔBEA ≅ ΔDEC

11. Suppose ΔCED ≅ ΔDBC. If m∠EDC = 63 and m∠DBC = 82, what is m∠DCE?

12. Classify the triangle with sides of lengths 23, 23, and 21.

13. Complete the statement
Complete the statement. If a transversal intersects two parallel lines, then corresponding angles are

14. Using the given information, which lines, if any, can you conclude are parallel? Justify your conclusion with a theorem or postulate. m∠1 + m∠2 = 180

15. Find the value of x for a to be parallel to b.

16. The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____

17. The Polygon Exterior Angle-Sum Theorem states: The sum of the measures of the exterior angles of a polygon, one at each vertex, is _____.

18. Find m∠A.

19. Find the value of x for p to be parallel to q. m∠1 = 3x and m∠6 = 120.

20. Use the Law of Detachment to draw a conclusion
Use the Law of Detachment to draw a conclusion. I will have room for dessert if and only if I do not finish my dinner. I finished my dinner.
I do not have room for dessert.
Conditional: If I have room for dessert, then I did not finish my dinner.
Converse: If I do not finish my dinner, then I have room for dessert.

21. Find the value of the variable.

22. Is the following a good definition of a square
Is the following a good definition of a square? If not give a counterexample. A square is a figure with four congruent sides.

23. Use the Law of Detachment to draw a conclusion
Use the Law of Detachment to draw a conclusion. If two angles are complementary, then the sum of their measures is 90. ∠A and ∠B are complementary.
Conclusion: Then the sum of their measure is 90

24. Use the Law of Syllogism to draw a conclusion
Use the Law of Syllogism to draw a conclusion. If a country's population is more than 1.4 billion, then it has a higher population than China. If a country has a higher population than China, then it is has the highest population in the world.