Points, Lines, Planes
A plane is
Has two dimensions.
Represented by a shape that looks like a floor or wall, but extends without end.
Through any three points that are not on the same line, there is exactly one plane.
If segments are congruent, then they are also...
Equal
Find the midpoint M of segment ST.
S(-2, 4) T(3, 9)
M(1/2, 13/2)
Classify and describe the polygon
ch1.4
Octagon/8-gon, concave
An Angle Bisector...
is a ray that divides an angle into two congruent/equal angles
Name a line in plane M.
ch1.1
line XY
line XZ
line YZ
line g
line XN
line YN
line ZN
Find XZ. A and Z are end points and X is between.
AZ is 38, AX is 27.
XZ is 11
Find the endpoint of segment JK when J(14, 9) and midpoint M(6, 3)
K(-2, -3)
Compare the perimeter and area of the concave polygon with the perimeter and area of the convex polygon.
ch1.4b
The pentagon will have a greater area and the hexagon will have a greater perimeter
Given the angle of ABC, find the measure of angle ABD
ch1.5
angle ABD is 49 degrees
A segment is
A part of a line that consists of two endpoints and all points between the endpoints.
The Ruler Postulate is
The absolute value of the difference between endpoints
A segment bisector is
a point, line, ray, line segment, or plane that intersects the segment at its midpoint
Find the perimeter with points
W(5, 6) X(5, -1) Y(2, -1) Z(2, 6)
20 units
The angle Addition Postulate is
Given a larger angle, the sum of the smaller angles that make up the large angle.
Name a pair of opposite rays.
ray YX and ray YZ
Segment Congruence
Segment AB has points A(8, -4) B(3, -4)
Segment CD has points C(7, 1) D(7, -3)
No, AB is 5 and CD is 4
Coordinate plane in feet: The distance between home plate and the pitchers mound is 3 ft closer to home than the midpoint between home and second base.
What is the distance between home and the pitchers mound?
ch1.3
about 60.6 feet
Area: The area of quadrilateral RSTU is
ch1.4c
29.5 units^2
Given the angle of ABC, find the measure of angle CBD
ch1.5b
angle CBD 23 degrees
Name a point not in plane M.
ch1.1
point P
Distance; you pass by school and the library on your way to the bookstore. The distance between the library and school is...
ch1.2
126 meters
Length: The endpoints of segment DE are D(-3, y) and E(x, 6) and the midpoint M(4, 2). What is the length of DE?
about 16.1, 2 sqrt 65, sqrt 260
Perimeter: The perimeter of quadrilateral RSTU is
ch1.4c
11 + sqrt17 + sqrt50 units
11 + sqrt17 + 5sqrt2
about 22.2 units
Given that P is in the interior of angle ABC, the measure of angle PBC is 30, angle DBC is a right angle, and the measure of angle ABD is 26.
What is the possible measurements of angle ABP?
angle ABP is 86 degrees, or 34 degrees