Download Geometry Semester Test Review CHAPTER 1 1.2 Points Lines and

Geometry Semester Test Review
CHAPTER 1
1.2 Points Lines and Planes
Use the figure to answer the following questions
1) Name two intersecting lines
2) Name the intersection of planes QRBA and
TSRQ
3) Name three noncollinear points
1.3 Measuring Segments
4) Find the value of m
1.4 Measuring Angles
Classification of angles (right, acute, obtuse,
straight)
Use the diagram to answer the following questions
5) mMQR  61 and mMQP  25 , find
mPQR
1.5 Exploring Angles Pairs
Name a pair of each of the following
11) x=
1.7 Midpoint and Distance
12) Find the Distance between the points to the
nearest tenth A(1,5), B(0, 4)
13) Find the Midpoint between the points to the
nearest tenth A(3, 2), B(3, 2)
1.8 Perimeter, Circumference, and Area
Find the perimeter of each figure
14) Perimeter =
CHAPTER 2:
2.1 Patterns and Inductive Reasoning
Find a pattern for the sequence. Describe the
pattern, and show the next two terms
15) 1000, 100, 10, …
Find a counterexample to show the conjecture is
false
16) The product of any integer and 2 is greater
than 2.
2.2 Conditional Statements
Write each sentence as a conditional
17) All motorcyclists wear helmets
6)
7)
8)
9)
Complementary angles
Supplementary angles
Vertical angles
Linear pair
Find the value of x
10) x=
Write the converse, inverse, and contrapositive of
the given conditional statement. Then determine
the truth value
18) If you play the tuba, then you play an
instrument.
2.3 Biconditionals and Definitions
Determine whether each statement is a good
definition
19) A newspaper has articles you read.
2.4 Deductive reasoning
Use the Law of Detachment of Lay of Syllogism to
make a conclusion
20) If you practice tennis every day, then you
will become a better player. Collin practices
tennis every day.
21) If you father buys gardening gloves, then he
will work in his garden. If he works in his
garden, then he will plant tomatoes
2.6 Proving Angles Congruent
3.3 Proving Lines Parallel
Use the given information to decide which lines, if
any are parallel. Justify.
29) 1  9
30) m3  m6  180
3.4 Parallel and Perpendicular Lines
Know what Parallel and Perpendicular mean
22) Find the value of 7
23) Find mAEC
24) Find mAEB
CHAPTER 3: Lines and Angles
3.1 Classify the angle pair formed by <1 and <2
25) Classification
26) Classification
3.2 Properties of Parallel Lines
Find m1 and m2 . Justify your answer.
27) .
28) .
3.5 Parallel Lines and Triangles
Find the values of the variables
31) x=
y=
3.7 Equations of Lines in the Coordinate Plane
32) Find the slope passing through (6, 2),(1,3)
1
33) Write an equation of the line with slope 
2
and y-intercept 12
3.8 Slopes of Parallel and Perpendicular Lines
34) Write an equation of the line parallel to
y  8x  1 that contains (6, 2)
35) Write an equation of the line perpendicular
1
to y  x  4 that contains (3, 3)
6
CHAPTER 4 Congruent Figures
WXYZ  PQRS Find each measure or length.
36) mP
37) QR
4.2/4.3 Triangle Congruence by SSS, SAS, ASA,
AAS
Which postulate or theorem, if any, could you use
to prove the two triangles congruent? If there is not
enough information to prove the triangle congruent,
write not enough information
38) .
4.5 Find the Values of x and y
44) x=
y=
45) x=
y=
39) .
40) .
41) .
4.4 Using Corresponding Parts of Congruent
Triangles
How can you use congruent triangles to prove the
statement true?
42) TV  YW
4.6 Congruence in Right Triangles
46) Given: LN  KM , KL  ML
Prove: KLN  MLN
4.7 Congruence in Overlapping Triangles
Name a pair of overlapping congruent triangles.
State whether the triangles are congruent by SSS,
SAS, ASA, AAS, or HL
47) .
CHAPTER 5
5.1 Midsegments of Triangles
48) Find the value of x
43) BE  DE
5.2 Perpendicular and Angle Bisectors
49) Find y, ST, and TU
5.3 Bisectors in Triangles
50) Fid the coordinates of the circumcenter
5.4 Medians and Altitudes
51) Determine whether AB is a median,
altitude, or neither. EXPLAIN
52) Determine whether AB is a median,
altitude, or neither. EXPLAIN
5.6/5.7 Inequalities in Triangles
56) List all of the angles in order from smallest
to greatest
57) List the sides of the triangle in order from
shortest to longest
58) Can a triangle have sides with the given
lengths? Explain!
2 in, 3 in, 6in
59) Find the range of possible lengths for the
third side. 8 ft., 12 ft.
53) Name the centroid
54) Name the orthocenter
60) Write an inequality relating the side lengths.
If there is not enough information to reach a
conclusion, write no conclusion.
CHAPTER 6
6.1 The Polygon Angle-Sum Theorems
61) Find the sum of the interior angle measures
in a octagon
6.2 Properties of Parallelograms
62) Find the value of d in the parallelogram.
5.5 Indirect Proof
55) Which two statements contradict each other:
6.3 Proving a Quadrilateral is a Parallelogram
63) For what value of x must ABCD be a
parallelogram?
6.4 Properties of Rhombuses, Rectangles, and Squares
64) Find the measures of the numbered angles
6.5 Conditions for Rhombuses, Rectangles, and Squares
65) For what value of x is quadrilateral AXYZ a rectangle?
6.6 Trapezoids and Kites
66) XY is the midsegment of trapezoid HILM. What is XY?
6.8 Applying Coordinate Geometry
67) Find the coordinate of X