Points lines & planes
A _____ is a flat surface made up of points that
extends infinitely in all directions.
Plane
A _____________ is a measurable part of a line that
consists of two points, called endpoints, and all of the
points between them. The two endpoints are used to
name the segment.
Line Segment
A statement that appears to be true but hasn't been proven.
Conjecture
Draw a valid conclusion from the given statements, if possible.
If Ebony takes a vacation, then she will go to the Grand Canyon. If Ebony goes to the Grand Canyon, then she will hike to the Colorado River.
If Ebony takes a vacation, then she will hike to the Colorado River.
Draw a valid conclusion from the given statement
If it rains, then flowers will grow. It rains.
Flowers will grow or it rains
Flowers will grow
_____ points are points
that lie on the same line.
Collinear
11.3 + 3.8 = XZ
15.1 cm =XZ
An example that shows a conjecture is false.
Counterexample
Draw a valid conclusion from the given statement
My parents are happy when I get good grades. I get to go to the party if my parents are happy.
If I get good grades, then I get to go
to the party.
A(5, 0) and B(8, 0)
3 units
____ points are points
that lie in the same plane.
Coplanar
AC = 4x - 12, AB = x, and BC = 2x + 3
x = 15
If you risk nothing, then you risk everything.
Hypothesis: You risk nothing. Conclusion: You risk everything.
hen the sum of the angle
measures is 90°
complementary
what is the solution?
Angle A and Angle B are supplementary.
If Angle A = 50°, find Angle B.
Angle B = 180° − 50° = 130°
_______ points do not lie
in the same plane
Noncoplanar
M(6, –2) and N(6, 8)
10 units
Write the converse, inverse, and contrapositive of the statement (If there is no struggle, there is no progress)
Lines, segments, or rays that intersect at right angles are _____
Perpendicular
Angle A and B are complementary.
Angle A is 14° less than twice Angle B.
Find A
55.33°
_________ points do not
lie on the same line.
Noncollinear
AC = 5x - 3 + 2x + 9 (x=4)
34
which is Hypothesis and which is conclusion?
The sum of the measures of two
supplementary angles is 180°
Hypothesis: Two angles are supplementary.
Conclusion: The sum of their measures is 180°
angles with measures
that have a sum of 180°
Supplementary
The ______ of two or more geometric figures
intersection