Florida Geometry

Select the counterexample that shows that the conjecture is false. Conjecture: If two angles are supplements of each other, then one of the angles must be acute.

• Both angles could be right angles.

• When one angle is 135º, the supplement is not acute.

• Both angles could be straight angles.

• When one angle is 25º, the supplement is not acute.

Match the following

• PR = QS

• PQ + QR = PR

• PQ = RS

• Addition Property of Equality

• Segment Addition Postulate (Post. 1.2)

• Transitive Property of Equality

• PQ + QR = RS + QR

• Given

If two planes intersect, then their intersection is a line. If two planes are not parallel, then they intersect.

• No Conclusion can be made.

• If two planes intersect they are not parallel.

• If two planes are parallel, then they do not intersect.

• If two planes are not parallel, then their intersection is a iine.

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

• ∠A is complementary to ∠B

• ∠A is acute.

• ∠A is obtuse.

• ∠A is 40⁰

In an isosceles right triangle, one angle always has 90 degrees, so the other 2 angles each have this many

• 45

• 60

• 30

• 180

The three sides of this kind of triangle are all of different lengths

• right

• obtuse

• scalene

• isosceles

If 2 angles of a triangle are 50 degrees each, then this must be the size of the third angle

• 180

• 80

• 50

• 0