Download HERE - Barrington 220

Geometry A
Semester I Final Review
Name__________________________________
Teacher__________________ Period________
Chapter 1
1. If AB = 10, BC = 15 and AC = 5, then which point is between the other two?
-2
2. If A and T trisect MH , find MT.
M
A
T
3. Who is the father of geometry?
11
H
4. Name three things you can assume from a diagram.
5. Name three things you cannot assume from a diagram.
6. Find the angle between the hands of a clock at 8:20.
uuur
7. What is ME I OG ?
G
uuuur
8. What is GO U EM ?
A
9. Find the restrictions on x in circle W.
W
E
O
(Use for problems 7 & 8.)
x
L
100 °
H
10. Name all the angles at A in problem #9.
Chapter 2
1. If ∠ 2 is supplementary to ∠ 8 and ∠ 8 is supplementary to ∠13 and m ∠13 =
57°13' 42" , find m ∠ 8 and m ∠ 2 .
2. The complement of an angle is 78° . Find its supplement.
3. If the measure of an angle is three times its supplement, find the complement of the
supplement.
4. Do problem #34 on page 109 from our textbook.
M
Chapter 3 and 4 Proofs: The GIVENS are marked on the diagrams. (Hint: One is these cannot
be done.
1. P: VTPA ≅ VRAP
T
2. P: y > x
R
T
R
y
x
N
Z
P
I
A
3. P: ∠1 ≅ ∠ 2
4. P: EN ⊥ MD
P
E
A
1
2
L
D
N
M
R
6. P: ∠ KEI is a right angle
5. P: PERC is a kite
E
P
D
I
R
S
K
C
Chapter 5
1. Find x.
118 °
x
80 °
E
T
2. In which quadrilaterals are:
a. Diagonals are congruent.
b. Opposite angles are supplementary.
c. Opposite angles are congruent.
d. Opposite sides are congruent.
e. At least one pair of consecutive sides are congruent.
f. Consecutive angles are supplementary.
g. Diagonals bisect each other.
h. Diagonals cut it into two congruent triangles.
i. Has at least one right angle.
Chapter 6
1. Name the three ways two lines can appear in space.
2. For which of your answers to #1 are these lines coplanar.
3. Give four different ways to determine a plane.
4. Lines perpendicular to the same plane are _________________________________.
5. If a line is perpendicular to a plane, then __________________________________.
6. Two planes intersect _________________________________________________.
D
5
7. Find AC.
E
4
A
4
B
C
Chapter 7
1. Angles of a triangle are in a ratio of 2:3:7. Find the largest angle measure.
2. Can 6 ° be the measure of an exterior angle of a regular polygon? 16 ° ? 20 ° ?
3. Five angles of a hexagon are 100 ° each. Find the measure of the sixth angle.
4. Find the measure of each interior angle in a regular nonagon.
5. What figure is formed by connecting the midpoints of a kite?
6. What is the sum of the measures of the angles in a 13-gon?
7. What is the measure of an exterior angle in a regular octagon?
8. What regular polygon has an interior angle measure of 165 ° ?
9. What polygon has 90 diagonals?
10. Find x.
T
R
Z
x
P
80 °
110 °
A
11. Find the perimeter of the trapezoid.
4
5
7
12. Find x.
20 °
x
30 °
13. Find y.
40 °
y