Download Fall Final Exam Review

Fall Geometry Final Exam Review
1) The segment PM has a midpoint at N. The coordinates of P are (-3, 16) and coordinates of N are (4, 10).
What are the coordinates of M?
2) Find the coordinates of B that is
B located?
¾ the distance from A (-4, -5) to C (6, 11). Which quadrant is the point
3) Given a parallelogram PQRS. If the equation of the line PQ is given as 2x + 3y = 7. What is the slope of
the line RS?
4) Given PQ is a line segment with coordinates of P (3, 10) and coordinates of Q (-4, -5). Write an equation
of the line perpendicular to PQ and passing through Q
5) What is the postulate that proves angle ∠8 ≅ ∠4?
6) Write the following statement’s converse, inverse, and contrapositive and determine the truth value of
each:
If a quadrilateral is a parallelogram, it has 4 right angles.
7) Match the following concurrent lines with their point of concurrency:
Altitude
Perpendicular bisector
Angle bisector
Median
Circumcenter
Incenter
Centroid
Orthocenter
8) Which of the following are not coplanar?
two parallel lines
two perpendicular lines
two skew lines
two intersecting lines
9) Find the measure of 1, 2, and 3.
A.
B.
C.
D.
E.
m1 = 154, m2 = 64, m3 = 26
m1 = 90, m2 = 26, m3 = 154
m1 = 90, m2 = 64, m3 = 26
m1 = 64, m2 = 52, m3 = 24
m1 = 90, m2 = 26, m3 = 64
Which 2 lines are // ?
w
x
y
z
10) If two parallel lines are cut by a transversal, which angle pairs are congruent and which angle pairs are
supplementary?
Linear Pair
Alternate Interior Angles
Alternate exterior angles
Same side interior angles
Corresponding angles
Adjacent angles
Vertical angles
11)
12) In the following figure, which lines are parallel? Which lines are Perpendicular?
13) Find FG if EF≅FG.
14) Given the points A(-5, 6) and B (8, -4), which of the following represents the correct distance
formula you would use to solve?
A. √(−4 − 5)2 + (8 − 6)2
B. √(8 + 5)2 + (4 + 6)2
C. √(8 + 5)2 + (−4 − 6)2
D. √(−4 − 6)2 + (8 + 5)2
15) Which of the following equations would be parallel to the given equation of 𝑦 = 2𝑥 + 3?
A. 𝑦 = −2𝑥 + 12
1
B. 𝑦 = − 𝑥 − 6
2
C. 𝑦 = 2𝑥 − 9
1
D. 𝑦 = 𝑥 + 1
2
16) Name 3 non-collinear points from the picture below.
A.
B.
C.
D.
C, B, D
F, C, B
E, F, G
G, A, D
17) Which triangle congruence postulate best describes the relationship between the two given
triangles.
A.
B.
C.
D.
SAS
SSS
SSA
ASA
18) Which of the following values could be a valid side length for the triangle below.
A.
B.
C.
D.
4
23
19
17
19) Which triangle congruence postulate best describes the relationship between the two triangles?
20)
21)
22) Which definition justifies the following statement:
m ∠1 +m ∠2 = 180°
23) What is the intersection of the following?
a) plane EFGH and plane CDHG
b) GH and HD
c) plane ABCD and plane BCGF
24) find the value of the variable and then solve for the measure of each angle.
25) The following is two parallel lines cut by a transversal. What is the relationship between the
following pairs of angles?
a)
b)
c)
d)
angle 5 & angle 7
angle 5 & angle 3
angle 1 & angle 7
angle 1 & angle 8
26) JL bisects angle J, which conjecture proves that the triangles are congruent?