Download Geometry Wksh 1 – Fall final

Geometry Wksh 1 – Fall final
1. State the next three numbers in the sequence and the pattern:
a. 5, 10, 20, 40, ….
b. 81, 27, 9, 3, ….
c. 1, 2, 4, 8, ….
2. Select a number to fill in the blank.
a. Any ___ points lie on a distinct line.
b. ___ noncolinear points determine a plane.
c. Through any two points there exists only ____ line.
d. A line contains at least ____ points.
3. Find x and y.
4. If AB bisects DBC find y.
5. State the longest side and the largest angle for each triangle below.
a.
b.
6. Use the figure to the side to answer the following questions.
a. Name an acute triangle.
b. Name an obtuse triangle.
c. Name a right triangle.
7. Find x.
8. In this figure ABC =
a. find x
b. find y
c. find z
d. find s
e. find u
f. find r
DEF, answer the following questions.
Geometry Wksh 2 – Fall Final
1. State whether the following triangles are congruent. If so, state the theorem/postulate
proves it. (Remember there are five choices)
a.
b.
c.
d.
e.
f.
2. Define the following words: vertex, midsegment, isosceles triangle, acute triangle,
obtuse triangle, and an equilateral triangle.
3. Find x in the following triangles.
a.
b.
4. Find x and y in the following triangles.
a.
c.
b.
5. What is the distance between the following points?
a. A(-3, 4) and B (-2, 3)
b. C (-2, -6) and D (2, -3)
6. What is the midpoint between the following points?
a. A(-3, 4) and B (-2, 2)
b. C (-5, -6) and D (5, -3)
7. What is the slope of the line between the following points?
a. A(-3, 2) and B (-4, 2)
b. C (-8, -6) and D (3, -3)
8. Draw and label two perpendicular lines.
9. Draw and label two parallel lines
Geometry Wksh 3 – Fall Final
1. Use the figure to the right to answer the following questions.
a. What angle is vertical to  4?
b. What angle is alternate interior to  4?
c. What angle is same side interior to  4?
d. If the m  4 is 88°, what is the measure
of every other angle?
e. What angle is corresponding to  4?
2
1
2. Use the figure to the right to answer the following questions.
a. What line is parallel to BC ?
b. What line is perpendicular to DC ?
c. What plane is parallel to plane AGED?
3
4
6
5 8
7
H
F
C
B
G
E
d. What line is skew to FC ?
A
D
3. Could the following side lengths create a triangle? If not, why not?
a. 4, 6, 8
b. 2, 3, 5
c. 2, 4, 8
4. If two sides of a triangle are 7 m and 8 m, what is the range of the third side?
5. If two sides of a triangle are 15 cm and 12 cm, what is the range of the third side?
6. Use the figure to the right to answer the following questions.
a. Name two sets of vertical angles.
b. Name two sets of supplementary angels.
c. If the m  EBA= 2x +3 and the m  CBD = 3x-5,
find x.
d. If the m  EBC= 2x +15 and them  BEA = 2x-13,
find x.
7. Rewrite the statement in an if-then form:
Every square has four right angles.
a. Underline the hypothesis.
b. Circle the conclusion.
8. Use the figure to the right to answer the following questions.
a.  BFA is complementary to what angle?
b.  AFB is supplementary to which 2 angles?
c. Name two congruent angles.
E
C
B
A
B
D
C
A
F
D
E
9. Draw ray AB. Draw line AB. Explain the difference between the two.
10. Draw angle ABC.
Geometry Wksh 4 – Fall Final
1. Use the figure to the right to answer the following questions.
a. Name three points that are collinear.
b. C is in the interior of which angle?
c. If the m  BAC = 20° and the m  CAD = 18°,
what is the m  BAD?
d. If the m  BAD = 45° and the m  BAC = 22°,
what is the m  CAD?
e. What point is not in the interior of  BAC?
f. If the m  BAC = 3x, the m  CAD = 2x +5,
and the m  BAD = 45°, what is the value of x?
B
A
C
D
2. Use the figure to the right to answer the following questions.
a. If QM = 4 and MN = 5, find QN.
b. Name a pair of opposite rays.
c. If QN = 15 and and QM = 7, find MN.
d. If QM = 2x, MN = 3x +1, and QN = 16, find x.
Q
M
N
3. Draw AB. Draw BA. Explain the differences between the two.
4. Identify the following angles as obtuse, acute, right, or straight.
a.
b.
c.
d.
5. Find x and y for the following figures.
a.
b.
35
c.
54
d.
x
45
65
90
y
x-10 y
85 y
x-3
y 2x
6. Find the value of x.
a.
b.
c.
x+10
24
84
d.
7
4
x
13
5
x
x
26
4
x
3
7. State all of the known properties for a parallelogram, rectangle, rhombus, square,
trapezoid, isosceles trapezoid, and kite.
Geometry Wksh 5 – Fall Final
True or False! If false, change the underlined word to make it true.
1. A rectangle is always a parallelogram.
2. A parallelogram is always a rectangle.
3. The diagonals of a rhombus bisect each other.
4. The diagonals of a rectangle are perpendicular.
5. A trapezoid has two sets of parallel sides.
6. The median (also called midsegment) of a trapezoid is perpendicular to the bases.
7. A kite has two angles that are congruent.
8. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
9. The interior angles of a quadrilateral add up to 180 degrees.
10. A square is always a rectangle.
11. Classify each figure by its most precise name AND find the value of x in the following figures.
a.
b.
x+10
c.
98
2x-9
4x-12
d.
2x x
48
e.
f
x
42
33
2x
x
3x-4
g.
8+x
h.
i.
4x
x
3x-5
15
24
24 +x
12