Download Unit1Review

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

Pythagorean theorem wikipedia , lookup

Projective plane wikipedia , lookup

Dessin d'enfant wikipedia , lookup

Multilateration wikipedia , lookup

Cartesian coordinate system wikipedia , lookup

Trigonometric functions wikipedia , lookup

Duality (projective geometry) wikipedia , lookup

Perceived visual angle wikipedia , lookup

Rational trigonometry wikipedia , lookup

Euler angles wikipedia , lookup

Compass-and-straightedge construction wikipedia , lookup

Euclidean geometry wikipedia , lookup

Line (geometry) wikipedia , lookup

Transcript
Unit 1 Review Foundations of Geometry
Name __________________________ Blk ___ Date _______
Vocabulary
1 . Know your definitions! Recognize them in diagrams! Use your vocab sheet to cover and practice.
POINT
LINE
POSTULATE
COLLINEAR
OPPOSITE RAYS
SEGMENT BISECTOR
RIGHT ANGLE
PLANE
ANGLE
OBTUSE ANGLE
ADJACENT ANGLES
COPLANAR
LINE SEGMENT
CONGRUENT SEGMENTS
VERTEX
ENDPOINT
MIDPOINT
INTERIOR/EXTERIOR OF AN ANGLE
STRAIGHT ANGLE
LINEAR PAIR
BISECT
RAY
CONGRUENT ANGLES
COMPLEMENTARY ANGLES
ACUTE ANGLE
ANGLE BISECTOR
SUPPLEMENTARY ANGLES
VERTICAL ANGLES
Points, Lines and Planes and more …
2. In the diagram to the right NAME figures using points, symbols and script letters:
a. A plane with _______________and without ___________
points.
b. A line using two points _______________
and script letters _________ .
c. Two rays with endpoint Y ________
________ .
d. Name the intersection of line r and line XY ___________ .
e. Name 3 collinear points ___________________ .
f. Name 4 points coplanar to plane  ________________ . Name a line segment coplanar to both plane 
and plane R ______
g. Name the point between points X and M and points Q and T __________ .
Line Segments
3. Using the diagram to the right:
a. x = _____
b. AB = ______
c. BC = ______ d. AC = _______
4. Read the descriptions, draw the diagrams and solve:
a. LS  RT ; RT = 15
Find LS.
b. F is between points A and B
on a line. AF = 12, FB = 3.
What is AB?
c. R is the midpoint of line segment AK.
AR = 14. What is AK?
Angles and Angle Pairs
5. In the following problems m 3 = 75O, and m 4 = 60O. Mark those measures on the diagram!
a. Is  3 acute, obtuse, right or straight? _________

H
b. What is m JFL? ____ ; m 5? __________
5
c. FL and MK form what kind of angles? _____________
F
d. What is m  MFH? ________ ; MFL? __________

 J
4
K

3
M

e. What kind of “pears” don’t grow on trees? ______________ Name a pair: _______________ .
f. Name a pair of angles which are adjacent. _______________ NOT adjacent: _______________ .
6. Using angle pairs (complementary, supplementary, or linear pairs) answer these questions:
a. m  BAT = 35O. What is its supplement? _____ Its complement? _____
b. L and M are supplementary. If m L = 15O, what is mM? _____
c. What would m M be if they were complementary?
7. Read the descriptions, draw the diagram and solve:
a. Construct an obtuse angle and label it as RST.
b. Place a point on the interior of RST and label it point A.
c. Draw a line between the vertex and point A.
d. If m RSA = 48O and m AST = 83O, what is mRST
Midpoints and Distance Formulas
8. Use the coordinate grid to the right and your formula chart to help
answer the following questions.
a. What is the midpoint of (-1,5) and (-4,1)? ( ___ , ___ )
b. Point L(3, 4) belongs to line segment LF. Its midpoint is at
M(0, 2). What is the coordinate of endpoint F? ( ___, ___ )
Hint: Use slope (rise/run) to help you.
c. What is the distance between points L and M? ________
L