Download Name

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

Integer triangle wikipedia , lookup

Lie sphere geometry wikipedia , lookup

History of trigonometry wikipedia , lookup

Dessin d'enfant wikipedia , lookup

Conic section wikipedia , lookup

Perspective (graphical) wikipedia , lookup

Trigonometric functions wikipedia , lookup

Plane of rotation wikipedia , lookup

Analytic geometry wikipedia , lookup

Multilateration wikipedia , lookup

Cartesian coordinate system wikipedia , lookup

Projective plane wikipedia , lookup

Euler angles wikipedia , lookup

Euclidean geometry wikipedia , lookup

Rational trigonometry wikipedia , lookup

Duality (projective geometry) wikipedia , lookup

Line (geometry) wikipedia , lookup

Transcript
Name ____________________________
Chapter 1 Review
I can recognize and model the relationships between points, lines and planes.
1-6 Refer to the figure. Assume plane A and plane MNS
are coplanar.
1. How many planes are shown in the figure?
6
2. Name three collinear points.
S, X, M
3. Are points N, R, S, and W coplanar? Explain.
No, N, R, and S are on the same plane A while W is not on that plane.
4. What is the intersection of plane A and plane WTM?
MS
5. What is the intersection of plane WMN and plane QPR?
PN
6. Name the intersection between WM and NM
M
7-9 Refer to the figure.
7. Name a line that contains points T and P.
g, TP, PT , or more
8. Name a line that intersects the plane containing points Q, N, and P.
j
9. Name the plane that contains
Plane S
and
.
I can identify and explain the difference between complementary and supplementary
angles.
I can calculate missing angles using angle relationships using linear pairs, vertical
angles, complementary and supplementary.
10. Draw 2 complementary angles labeled ABC and CBD
11. What angle with be supplementary with 72o? 108o
12. Draw a linear pair of angles. Are linear pair angles congruent, supplementary,
complementary or neither. Explain.
supplementary
13. Find the measures of the missing angles.
s = _40_______
t = ___140_____
u = ____150___
v = ____60____
w = _____90___
x = ____70____
y = ____50____
z = ____50____
14. Two supplementary angles have a measure of 1  (3x)o and 2  (5x  12)o .
Find the degree measure of each angle.
1  63o , 2  117o
15. Two vertical angles have a measure of 1  (6 x 4)o and 2   3 x  13 . Find the
degree measure of each angle.
1  22o , 2  22o
o
I can determine midpoints using the formula.
I can determine slopes using the formula.
I can find the distance between two points.
16. A triangle has points at A(3, 5), B(7, 9) and C(-4, 8). Find the perimeter of this
triangle.
AB: 5.657
BC: 11.045 AC: 7.615
Perimeter = 24.3
17. Find the midpoint between the points (4, 9) and (-2, 1)
(1, 5)
18. T is the midpoint of ED. If E(-3, 2) and T(5, 6), find the other endpoint D.
(13, 10)
19. W is the midpoint of RT and R is the midpoint of YT. R(5, 6) and T(8, -2). Draw a
picture of this situation and find the value of W and Y.
W(6.5, 2) Y(2, 14)
20. O is the midpoint of PL. OP is 9x -1 and OL is 5x + 11. Find the value of x.
X=3
I can apply the vocabulary of geometry including acute, obtuse, bisect, perpendicular,
and congruent in algebraic problems.
21. If angle P = (4x + 1)o, find the range of values of x that would make angle P acute.
X<22.25
22. ABD is bisected by BC . If ABC  (2 x  3)o and CBD  41o Find the value of
x.
X = 19
23. CBD is bisected by BA . If ABC  (4 x  7)o and CBD  144o Find the value
of x.
x = 16.25
24. Lines m and q are perpendicular lines. PQR   5 x  10  Find the measure of x.
x = 16
o