Geometry Review for Final Exam
 Logic
 Congruency
 Quadrilaterals
 Right Triangles
Name _________________________________
Logic
1.
“If you like to shop, then visit the Pigeon Forge outlets in Tennessee.” Identify the hypothesis and conclusion.
Hyp: ____________________________________________________________________________________
Con: ____________________________________________________________________________________
2. If something is a bird, then it can fly.
Match: _________ Hypothesis
_________ Conclusion
a) it can fly
b) something is a bird
3. What is the converse of the following conditional?
If an angle is a right angle, then its measure is 90o.
a)
b)
c)
d)
If an angle is not a right angle, then it measure is 90.
If an angle is not a right angle, then its measure I not 90.
If an angle has measure 90, then it is a right angle.
If an angle has measure 90, then it is a right angle.
4. Write the converse of the following statement.
If a polygon is a triangle, then it has three sides.
________________________________________________________________________________________________________
________________________________________________________________________________________________________
Congruency
5. m<1 = 37o. Find m <3.
7. Find the values of x and y.
6. Find the value of x.
8. Find the values of x and y.
For problems 9-12 , state the postulate or theorem you can use to prove the triangles congruent. If the triangles cannot be
proven congruent, write not possible.
9.
10.
11.
12.
13. M is equidistant from the sides of <KGP.
Find the value of x.
14. DF bisects <EDG. Find the value of x.
15. ZX is the median. If WX = 12, what is the
length of XY?
16. DB is an angle bisector. If <ADC = 108 o, what is the
measurement of <ADB?
17. CD is the perpendicular bisector of AB.
Quadrilaterals
True or False.
18. All squares are rectangles.
19. All rhombuses are squares.
20. All kites are quadrilaterals.
21. Find the values of x, y, and z in the parallelogram.
23. ABCD is a parallelogram. Find the value of x.
22. Find the values of x, y, and z in the parallelogram.
24. ABCD is a parallelogram. Find the value of x and y.
25. Find the measures of the numbered angles in each kite.
a)
b)
26. For A(-1, -2), B(1, -4), C(5, -4), find the locations
of a fourth point, D, so that a parallelogram is formed
using A, B, C, and D in any order as vertices.
7
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
1 2 3 4 5 6 7
Right Triangles
Find x and y. Leave your answers in radical form.
28.
29.
30.
31.
Find the value of x. Round to the nearest tenth.
32.
33.
Find the value of x to the nearest degree.
34.
35.
36. Find the value of x. Round to the nearest tenth.