Download Midterm Review Worksheet-Unit ONE

Midterm Review Worksheet-Unit ONE
1.
Name the undefined terms in Geometry.
2.
Where do two lines intersect at?
3.
Where do two planes intersect at?
4.
How many points are needed to name a plane?
5.
How many points are needed to name a line?
Use the figure to the left to answer #6-9
6.
What is the intersection of Plane AEDF and Plane CDFH?
7.
Name the Top of the figure above.
8.
What is the intersection of
9.
Name the edge through point B and point C.
Honors Geometry Midterm Review Worksheet
and
?
Page 1of 22
10.
Name the opposite rays.
11.
Name the ray opposite
D
C
B
A
12.
Name all segments parallel to BC.
13.
Name all segments skew to AG.
14.
Use for #12-13
Use the figure to find each of the following.
a. x
b. MR
c. RP
d. MP
Honors Geometry Midterm Review Worksheet
Page 2of 22
15. PQ = 57. Use the figure to find each of the following.
a. x
b. PL
c. LQ
d. PQ
16.
M is the midpoint of LN. LM = 4x – 3 and MN = 5x – 10. Find x and LN.
17.
C is the midpoint of AB. Find x and AB.
18.
H is the midpoint of GJ. GH = 3x and HJ = x + 16. Find x and GJ.
19. Name an angle or angles in the diagram described by each of the following.
a.) complementary to
b.) supplementary to
c.) adjacent and congruent to
d.) vertical angle with ∠𝐴𝑂𝐵
Honors Geometry Midterm Review Worksheet
Page 3of 22
20.
Name an angle or angles in the diagram described by each of the following.
a.). supplementary to
b.) complementary to
c.) congruent to
E
d.) a pair of vertical angles
21.
Find the distance between
22.
Find the distance between N(1, 0), P(3, 8).
23.
Find the distance between W(2, 7), X(1, 2).
24.
Find the midpoint of A(6, 7), B(4, 3).
25.
Find the midpoint of
26.
Find the midpoint of
Honors Geometry Midterm Review Worksheet
.
.
.
Page 4of 22
27.
Find the perimeter of the figure.
28.
Find the perimeter of the figure.
29.
Find the AREA of the figure.
30.
Find the AREA of the figure.
Honors Geometry Midterm Review Worksheet
Page 5of 22
31.
Find the circumference of the circle and leave answer in terms of π.
32.
Find the circumference of a circle with the radius of 8 cm and leave answer in terms
of π.
33.
Find the AREA of the circle and leave answer in terms of π.
34.
Find the AREA of a circle with the radius of 10 in. and leave answer in terms of π.
35.
Find the AREA of a circle with the diameter of 3 ft and leave answer in terms of π.
36.
If Mary was planting flowers to go around her bird bath in the back yard, it is in the
shape of a circle. When deciding how many flowers she is going to need, will she be
using the perimeter of the space around her bird bath or the area of the space?
Honors Geometry Midterm Review Worksheet
Page 6of 22
Midterm Review Worksheet-UNIT TWO
1.
2.
3.
4.
Identify the anteceedent and consequent of each conditional.
a.)
If
, then
.
b.)
If you want to get good grades in school, you must study hard.
Show that each conditional is false by finding a counterexample.
a.)
If it is not January, then it must be June.
b.)
All vegetables are carrots.
Is each statement a good definition? If not, find a counterexample.
a.)
Two lines that do not intersect are parallel.
b.)
A rectangle is a four-sided figure with four right angles.
Write the converse of each conditional.
a.)
If you drink milk, then you will be strong.
b.)
If a rectangle has four sides the same length, then it is a square.
c.)
If you do not sleep, you will be tired.
Honors Geometry Midterm Review Worksheet
Page 7of 22
5.
Each conditional statement (𝒑 → 𝒒) is true. Consider each converse (𝒒 → 𝒑).
If the converse is true, combine the statements and write them as a
biconditional, 𝒑 ↔ 𝒒.
6.
a.)
If two angles have the same measure, then they are congruent.
b.)
If
c.)
If
d.)
If a figure has eight sides, then it is an octagon.
, then
, then
.
Write the two conditional statements that make up each biconditional.
(Write 𝒑 → 𝒒 and 𝒒 → 𝒑 , given 𝒑 ↔ 𝒒.)
a.)
A whole number is a multiple of 5 if and only if its last digit is either a 0 or a 5.
b.)
Two lines are perpendicular if and only if they intersect to form four right
angles.
c.)
You live in Texas if and only if you live in the largest state in the contiguous
United States.
Honors Geometry Midterm Review Worksheet
Page 8of 22
7.
Solve for x.
8.
Solve for y.
9.
Solve for z.
10.
Solve for x.
11.
Solve for x.
12.
Solve for y.
Honors Geometry Midterm Review Worksheet
Page 9of 22
Midterm Review Worksheet-UNIT THREE
1.
Classify each pair of angles as alternate interior angles, same-side interior
angles, or corresponding angles.
a.
b.
c.
d.
e.
f.
Use the figure on the right to answer Exercise 2-4.
2. Name all pairs of corresponding angles.
3. Name all pairs of alternate interior angles.
4. Name all pairs of same-side interior angles.
Honors Geometry Midterm Review Worksheet
Page 10of 22
Find
5.
and
. Explain how you determined your answer.
6.
7.
Find the value of x. Then find the measure of each angle.
8.
9.
Use the picture at the right for #10-12.
10.
If l m ,  4 &  6 are what kind of angles?
What does that tell you about them?
1
2
3
l
4
5
6
7
8
m
11.
If l m ,  3 &  6 are what kind of angles? What does that tell you about them?
12.
If l m ,  3 &  7 are what kind of angles? What does that tell you about them?
Honors Geometry Midterm Review Worksheet
Page 11of 22
Find the value of x for which
13.
.
14.
15.
a, b, c, d, and e are distinct lines in the same plane. For each combination of
relationships between a and b, b and c, c and d, and d and e, how is line a related to
line e? *HINT: Draw the lines!*
16.
17.
18.
19.
Find the value of each variable.
20.
21.
Honors Geometry Midterm Review Worksheet
22.
Page 12of 22
Find the value of each variable.
23.
24.
Honors Geometry Midterm Review Worksheet
25.
Page 13of 22
Honors Geometry Midterm Review Worksheet
Page 14of 22
Midterm Review Worksheet-UNIT FOUR
For #1-4, identify which point of concurrency point P is in each triangle. Then identify what
types of lines intersect to form point P.
1.
2.
3.
4.
5.
Name the parallel segments in the triangle if A, B, and C are all midpoints of the
sides.
Honors Geometry Midterm Review Worksheet
Page 15of 22
6.
In EFG , H, J, and K are midpoints. Find HJ, JK, and FG.
7.
Use triangle below. If AB =10, ED = 9 and CD =18, find EB, BC, and AC. Then use that
information to find the perimeter.
8.
Find the length of the bridge using the figure below.
9.
Find the height of the tree using the figure below.
150 ft
Honors Geometry Midterm Review Worksheet
Page 16of 22
10.
Using the figure below, what are the names given to:
a.)
CE
b.)
DB
c.)
AF
|
A
E
)
|
D
)
C
F B
11.
Find the value of x.
16
3x – 4
12.
Find the value of x and the length of the midsegment.
47
56
4x + 2
56
47
4x + 44
Honors Geometry Midterm Review Worksheet
Page 17of 22
13. Q is equidistant from the sides of
Find the value of x and
T
|
|
(2
x+
5)
°
Q
(5x – 25)°
S
14. Q is equidistant from the sides of
R
Find the value of x and
T
|
|
|
4)°
2
+
x
(2
30°
|
Q
R
S
15. In  ACE, G is the centroid and BE = 12. Find BG and GE.
C
B
A
G
F
D
E
Honors Geometry Midterm Review Worksheet
Page 18of 22
16.
In  ACE, G is the centroid and BE = 9. Find BG and GE.
C
B
A
17.
G
F
D
E
List the angles smallest to largest.
C
5
A
6
7
B
18.
List the sides longest to shortest.
19.
Can a triangle have sides with the given lengths? Explain.
a.)
3 ft, 7 ft, 8 ft
c.)
2 m, 7 m, and 9 m
Honors Geometry Midterm Review Worksheet
b.)
d.)
3 cm, 6 cm, 10 cm
4 yd, 6 yd, and 9 yd
Page 19of 22
20.
A triangle has sides of lengths 8 cm and 10 cm. Describe the lengths
possible for the third side using an inequality.
21.
A triangle has sides of lengths 3 in. and 12 in. Describe the lengths
possible for the third side using an inequality.
22. From downtown, it is 2.5 miles to DHS. Traveling in a different direction, Hill
elementary is 4.3 miles from downtown. What are all the possible distances from DHS to
Hill elementary?
Honors Geometry Midterm Review Worksheet
Page 20of 22
Midterm Review Worksheet-UNIT FIVE
𝑥
Use for Questions #1,2,&3, a point(x,y) in the standard coordinate plane can be written as a matrix [𝑦]
−4
−4 −2 −1
For example, Pt. A (-4, 3) becomes [ ]. If Triangle ABC is represented by [
]
3
3
2
6
1) Find the matrix that would represent the image of Triangle ABC
after a reflection over the x-axis.
a) What are the coordinates of A' ? ( ________ , ________ )
b) What are the coordinates of B' ? ( ________ , ________ )
c) What are the coordinates of C' ? ( ________ , ________ )
d) Write your answer as a matrix.
[
]
2) Find the matrix that would represent the image of Triangle ABC
after a reflection over the y – axis.
a) What are the coordinates of A' ? ( ________ , ________ )
b) What are the coordinates of B' ? ( ________ , ________ )
c) What are the coordinates of C' ? ( ________ , ________ )
d) Write your answer as a matrix.
[
]
Use for Question #3: Triangle ABC is represented by [
−4 −3 −1
]
4
2
3
3) A translation is performed using the rule: (x, y) → (x + 3, y – 6).
a) What are the coordinates of A' ? ( ________ , ________ )
b) What are the coordinates of B' ? ( ________ , ________ )
c) What are the coordinates of C' ? ( ________ , ________ )
d) Write your answer as a matrix.
Honors Geometry Midterm Review Worksheet
Page 21of 22
Completely describe each isometry:
Honors Geometry Midterm Review Worksheet
Page 22of 22