Download Review Packet

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Conic section wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Plane of rotation wikipedia , lookup

Perspective (graphical) wikipedia , lookup

History of trigonometry wikipedia , lookup

Lie sphere geometry wikipedia , lookup

Cartesian coordinate system wikipedia , lookup

Projective plane wikipedia , lookup

Multilateration wikipedia , lookup

Perceived visual angle wikipedia , lookup

Trigonometric functions wikipedia , lookup

Rational trigonometry wikipedia , lookup

Compass-and-straightedge construction wikipedia , lookup

Duality (projective geometry) wikipedia , lookup

Euler angles wikipedia , lookup

Euclidean geometry wikipedia , lookup

Line (geometry) wikipedia , lookup

Transcript
Geometry
Name ________________________
Unit 2 Review
Date __________
Block _____
I. Complete the following statements.
__________________ 1) Lines that lie in the same plane and do not intersect are _____.
__________________2) An infinite set of points that creates a flat surface that extends without
ending.
__________________ 3) Length is always a _____ number so we use the absolute value of the
difference of the coordinates.
__________________4) Lines that intersect and form right angles are called _____.
__________________5) _____ angles are two angles in a plane that have a common vertex and a
common side but no common interior points.
__________________6) How many endpoints does a line have?
__________________7) How many endpoints does a ray have?
__________________8) How many endpoints does a segment have?
__________________9) A(n) _____ is the point that divides a segment into 2 congruent pieces.
__________________10) A(n) _____ is the ray that divides an angle into 2 equal angles.
__________________11) The set of all points is called ______.
__________________12) Points on the same line are _____.
__________________13) Points on the same plane are _____.
__________________14) An angle with exactly 90 is called a(n) _____ angle.
__________________15) An angle with exactly 180 is called a(n) _____ angle.
__________________16) An angle with more than 90 but less than 180 is a (n) _____ angle.
__________________17) An angle with more than 0 but less than 90 is a (n) _____ angle.
__________________18) Two angles whose measures have the sum 90 are _____ angles.
__________________19) Two angles whose measures have the sum 180 are _____ angles.
__________________20) Two non-adjacent angles formed by intersecting lines are called ____
angles.
__________________21) Two noncoplanar lines that are not parallel and do not intersect.
__________________22) Two adjacent angles whose non-common sides are on the same line.
II. Segment Addition Postulate. Use the sketch below to answer #23-27
23. AB = 6 and BC = 8, find AC. ______
24. BC = 12 and AC = 20, find AB. ______
25. AB = x, BC = x + 3, and AC = 15,
Find x, AB, and BC.
26. B is the midpoint of AC, AC = 20.
Find AB and BC.
x = _____ AB = _____ BC = _____
AB = _____ BC = _____
27. B is the midpoint of AC, AB = x + 4 and BC = 2x – 5. Find x, AB, BC, and AC.
x = _____ AB = _____ BC = _____ AC = _____
III. In Questions 28-32 you may have to visualize certain lines and planes not shown in
the diagram. Use correct notation.
C
B
_______28) Name the plane that does not intersect plane FGHE.
A
D
_______29) Name the plane that contains points A, D and G.
_______30) Are points C, D, E and G coplanar?
_______31) Are points B, D, H and F coplanar?
______ 32) Name the intersection of CD and GC
IV. Determine if the angles are linear, vertical, or neither.
__________ 33) 5 and 8
__________ 34) 6 and 7
__________ 35) 5 and 9
__________ 36) 6 and 8
F
E
G
H
V. In the diagram, mDOF = 90, mBOA = 40, and mGOF = 60. Complete
37)
mBOD = _____
38)
mFOE = ____
39)
mGOE = _____
40)
mBOC = ____
41)
mCOD = _____
42)
mDOE = ____
43)
mAOD = _____
44)
mBOG = ____
45) If C and D are complementary and mC = x + 10, mD = 2x - 7, find:
x = _____
mC = _____
mD = _____
46) If E and F are supplementary and mE = 5y – 3, mF = 2y + 1, find:
y = _____
mE = _____
mF = _____
47) If mTAH = 2x + 10, mMAT = 56°, and mMAH = 132°, find:
x = _____
mTAH = _____
48) If YO bisects XYZ and mXYO = 5x – 8 and mOYZ = 3x + 24, find:
x = _____
O
X
Z
Y
Find the distance between the coordinates on a number line.
49) -11 and 25 _______
50) -42 and -6 _______
VI. Use a protractor to measure the angles to the nearest degree then classify.