Name________________________
Date_______________Period_____
Geometry
1st Semester Final Exam
Chapter 1:
1. Find the next two terms in the sequence.
4, 15, 26, 37, _____, _____
2. Use the diagram above and circle the word that best completes each sentence.
a) Points A, O, and B are (collinear, noncollinear).
b) Another name for plane P is (OEG, AOF, CBF).
3. Given the points P(12, -12) and Q(5, 12):
a) Find the length of AB .
b) Find the midpoint of AB .
AB = __________
Midpoint = _____________
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 conditional statement:
If a polygon is a triangle, then it has three sides.
a) Write the converse. ____________________________________________________
_____________________________________________________________________
7. Find the value of the variable.
8. Find the value of x.
x = _________
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) 10 and 16___________________
b) 13 and 5___________________
c) 16 and 12___________________
d) 2 and 3_____________________
10. Find the value x.
x = ________
11. Find the value of the missing angle measure.
x = ___________
12. Find the slope of the line that contains the points A(4, -9) and B(-1, 1).
Slope = _________
13. Write an equation for the line that contains the point P(4, -1) with a slope of 3.
Equation __________________________
14. Are these lines parallel, perpendicular, or neither? Explain your solution.
1
x 1
2
 4 y  8x  3
y
_______________________________________________
_______________________________________________
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) ______________
16. Draw a picture to represent ΔJKL  ΔPQR. Then answers True or False.
Picture:
a) LK = RQ ________________
b) <J = <R ________________
17. Complete the two-column proof.
Given: AB // DC, <B  <D
Prove: BC  DA
Statements:
Reasons:
1.
2.
3.
4.
5.
6.
1. ________________________________________
2. ________________________________________
3. ________________________________________
4. ________________________________________
5. ________________________________________
6. ________________________________________
AB // DC
<B  <D
<1 = <2
AC  AC
ΔABC  ΔCDA
BC  DA
18. Find the value of y in the isosceles triangle below.
y = ___________
Chapter 5:
19. Find the value of x.
x = ___________
20.
Find the value of y.
y = _________
21. List the sides of the triangle in order from shortest to longest.
___________, ____________, _____________
22. Can a triangle have sides with lengths18ft, 20ft, and 40ft? Explain.
_____________________________________________________________________________
_____________________________________________________________________________
23. Name each figure in ΔBDF.
a. an angle bisector
b. a median
c. a perpendicular bisector
d. an altitude