The endpoints of a segment are A(4,−2)B(10, 8)
what is the midpoint
(7,3)
How to label this plane
plane P,
3 of any of these points:
R,S,M,B,D,Y
All roses are flowers. Some flowers fade quickly.
Can we conclude that some roses fade quickly?
No, we cannot conclude that. The fact that some flowers fade quickly doesn’t necessarily include roses.
Complementary Angles
two angles with measures that
have a sum of 90°
Whats the measure of Angle 1
126 degrees
The midpoint of a segment is M(7,3) One endpoint is A(2,−1)
what is the other endpoint?
(12,7)
A plane is determined by any two points.
False
All mammals have lungs. All whales are mammals.
Can we conclude that all whales have lungs?
Yes, all whales have lungs.
Coplanar
points are points
that lie in the same plane.
Noncoplanar points do not lie
in the same plane
What is the measure of angle 2
54 degrees
Find the midpoint of points A(–8,4) and B(6,10)
(-1,7)
Through any three non-co linear points, there is exactly one plane.
True
No reptiles have fur. All snakes are reptiles.
Can we conclude that snakes have no fur?
Yes, snakes have no fur.
Collinear
Collinear points are points
that lie on the same line.
Noncollinear points do not
lie on the same line.
What is the measure of angle 3
54 degrees
Find the midpoint of points C(3,–5) and D(9,–1)
(6,-3)
A plane extends infinitely in all directions.
All birds lay eggs. Penguins are birds.
Can we conclude that penguins lay eggs?
Yes, penguins lay eggs.
Supplementary Angles
two angles with measures
that have a sum of 180°
what angles are congruent
Find the midpoint of points E(–2,–7) and 3F(4,9).
(1,1)
Two planes can intersect in a single point.
False
Some fruits are sweet. All apples are fruits.
Can we conclude that some apples are sweet?
No, we cannot conclude that. Not all fruits that are sweet have to be apples.
Inductive reasoning
Inductive reasoning is the process of reaching a
conclusion based on a pattern of examples.
whats the measure of the unlabeled angle
108 degrees