Transcript Geometry 1 Final Exam Preview

Geometry 1
Final Exam Preview
Mary drew 3 cards from a standard deck of cards (4
suits of 13 cards each) and drew the 4 of hearts,
the 4 of clubs and the 4 of diamonds. Abe claimed
the deck must be a trick deck as Mary should not
have been able to randomly draw three 4’s in a
row. Mary claimed there was actually a very slim
chance (.018%) that she could draw three 4’s in a
row, so it was possible for the deck to be fair.
Who made a statistical argument?
Make a conjecture about the next item in
the sequence and then state whether you
used inductive or deductive reasoning.
2000 , 1000 , 500 , 250
Identify a counter example to the statement
that all months have at least 30 days.
Write the converse, inverse and
contrapositive of the given statement and
determine if they are true or false.
If a mathematical statement is
proven true, then it is a theorem.
Determine the value of a and LM if M is
between L and N and LM = 8a, MN= 12a
and LN = 190.
Make a truth table for
~p  ~q
Make a truth table for
~(p and q)
Write the negation of the given statement,
“All linear pairs are supplementary.”
Given the true statement, “If 2 angles form
a linear pair, then they are
supplementary”. Which is the sufficient
condition for the statement?
In the proof of the statement, “If 2 sides
of a triangle are congruent, then the
angles opposite those sides are congruent,”
what is the given?
Determine the length of each side given the
perimeter of the rectangle is 108 miles.
2s– 5
4 s – 13
You have a piece of string that is 83
centimeters long. If you enclose a square
region, how many square centimeters will
you enclose?
Determine the coordinates of the midpoint
of if Q(1, -3) and R(11, 5).
Determine the length of if Q(1, -3) and
R(11, 5).
Name all segments
parallel to GFA.
B
C
A
D
G
F
H
I
In the diagram below (not drawn to scale),
l//m, m∠1 = 4x – 4 and m∠2 = 7x - 40.
Determine the value of x and the measures
of each angle.
G1.1.2
l
∠1
∠2
m
In the diagram below (not drawn to scale), p//q,
m∠3 = 12x - 28 and m∠4 = 4x + 4. Determine
the value of x and the measures of ∠3 and ∠4.
G1.1.1 and G1.1.2
∠3
∠4
p
q
Determine the slope of the line parallel to the line
4x + 7y = 17 in the standard (x,y) coordinate
plane.
Given the following information,
determine the value of x which
guarantees the lines will be parallel.
8x - 2
3x + 13
Triangle ABC is an isosceles right
triangle with right angle, ∠B. If AB =
24, how long is the hypotenuse?
The measures of 2 complementary angles are
6x + 2 and 8x -24. What are the measures
of the angles?
Name the congruent angles and sides
for the pair of congruent triangles.
∆ ANG ≅ ∆HYU
Refer to the figure. The 3
triangles are all isosceles
triangles.
What is mRAM?
70
33
Refer to the figure. The 3
triangles are all isosceles
triangles.
What is m∠XAM?
70
°
33
°
Refer to the figure. The 3
triangles are all isosceles
triangles.
If m∠FXA = 116, what is m∠FMX?
70
°
33
°
Refer to the figure. The 3
triangles are all isosceles
triangles.
If m∠FXA = 116, what is m∠XFM?
70
°
33
°
Triangle FJH is an equilateral
triangle. Find x and y.
H
20y - 16
7x + 4
F
12y + 8
J
Refer to the figure shown. Given the
information below, write a congruence
statement and state a postulate or
theorem that justifies your statement.
B
A
C
D
E
Refer to the figure shown. Given the
information below, write a triangle congruence
statement and state a postulate or theorem
that justifies your statement.
W
X
Y
Z
XY  VZ
V
Determine the values of x and
the measures of ∠A, ∠B and ∠C
in the diagram below
B
3x + 18
A
5x -2
C
Determine the value of y
in the figure below
6y + 8
10y
5y - 21
What are the 3 undefined terms in
geometry?
B
A
Given: ΔABC with exterior ∠BCD
Prove: m∠BCD = m∠A + m∠B
C
D
Use the coordinates of ΔABC below to
determine if the triangle is equilateral,
isosceles or scalene.
A(5,6), B(1,2) and C(2,8)
u
t
H
G
s
G
J
F
Lines s, t and u are perpendicular bisectors
of ΔFGH and meet at J. If JG = 7x + 3
and JH = 9x – 3, determine the value of
JF.
Given: ΔABC is equilateral
Prove: ∠ABC is an acute angle
Write an indirect proof.
Draw and label 2 right triangles that could
be proven congruent by LL.
Construct an angle congruent to
angle B below and then bisect each
angle.
B
Construct a line through P that is
perpendicular to m.
P
m
Given: ABCD is a parallelogram
Prove: ∠A ≅ ∠C
B
A
D
C
Given: BD and AE bisect each other
Prove: AB = DE
A
D
C
B
E