Geometry
1st Semester Final Exam REVIEW
Name________________________
Date_______________Period ____
Chapter 1:
1. Find the next two terms in each sequence.
a) 12, 14, 18, 24, 32, _____, _____
b) 17, 23, 29, 35, _____, _____
2. Use the diagram above and circle the word that best completes each sentence.
a) Points A, B, and D are (collinear, noncollinear).
b) Another name for plane Q is (BCD, EFD, AEF).
3. Given the points A(-3, -1) and B(5, -7):
a) Find the distance PQ.
b) Find the midpoint of PQ.
4. Find the perimeter and the area of the figure. All angles in the figure are right angles.
Perimeter ________________
Area ____________________
5. Find the circumference and the area of the circle. Leave your answers in terms of π.
Circumference _____________
Area _____________________
Chapter 2:
6. For the following conditional statement: If two angles are vertical angles, then they are congruent.
a) Write the converse. ___________________________________________
____________________________________________________________
7. Find the value of the variables.
8. Find the value of the variable x.
Chapter 3:
9. Use the diagram at right and the terms alternate interior angles,
same-side interior angles, corresponding angles and vertical angles
to best describe each of the following pairs of angles.
a) 13 and 16___________________
b) 2 and 14_____________________
c) 3 and 5_____________________
d) 8 and 14_____________________
e) 7 and 15____________________
f) 12 and 16 ____________________
10. Find the value of the variable m.
m = ________
11. Find the value of the missing angle measures.
a)
b)
12. Find the slope of the line that contains the points A(-2, 3) and B(1, -1).
13. Write an equation for the line that contains point P(-3, 5) with a slope of -1.
14. Are the lines parallel, perpendicular, or neither? Explain your solution.
a)
 x  y  1
y  x7
b)
3y = -2x + 6
6y = -4x + 24
Chapter 4:
15. State the postulate or theorem you would use to prove each pair of triangles congruent. If the
triangles cannot be proved congruent, write not possible.
a)
b)
c)
d)
e)
.
16. Draw a picture to represent ΔDEF  ΔGHI. Name all of the pairs of corresponding
congruent parts.
Picture:
Corresponding Sides:
Corresponding Angles:
17. Find the value of x and y.
x = __________
y = _________
18. Complete the two-column proof.
Given: QK  QA, QB bisects <KQA
Prove: KB  AB
Statements:
1. QK  QA
2. QB bisects <KQA
3. <1 = <2
4. QB  QB
5. ΔKBQ  ΔABQ
6. KB  AB
Reasons:
1. ________________________________________
2. ________________________________________
3. ________________________________________
4. ________________________________________
5. ________________________________________
6. ________________________________________
Chapter 5:
19. Find x and y, as well as the missing distances.
20. Find x and the missing angle.
90° 5
13
x
y
5y - 36
2x + 1
4x -17
21. List the sides of the triangle in order from shortest to longest.
5
22. List the angles of the triangle in order from largest to smallest.
23. Can a triangle have sides with the given lengths? Explain.
a) 11m, 12m, and 13m
b) 1.2cm, 2.6cm, and 4.9cm
24. Find the value of x.
25. Use angle bisector, perpendicular bisector, altitude, and/or median to name each type of segment or ray.
DE ________________________
AF ________________________
DB ________________________
CH ________________________