Test Review 2.1: Conditionals & Segment & Angle Addition

Conditional: If I am in Honors Geometry, then I am a mathematician.

What is the Hypothesis?

• I am a mathematician

• I am in Honors Geometry.

• I am not a mathematician.

• If I am in Honors Geometry

Conditional: If I am in Honors Geometry, then I am a mathematician.

What is the conclusion?

• I am a mathematician

• I am not a mathematician

• Then I am a mathematician

• I am in Honors Geometry.

Conditional: If I am in Honors Geometry, then I am a mathematician.

Select the converse of the conditional statement.

• If I am a mathematician, then I am not in Honors Geometry.

• If I am not a mathematician, then I am not in Honors Geometry.

• If I am not in Honors Geometry, then I am not a mathematician.

• If I am a mathematician, then I am in Honors Geometry.

Conditional: If I am in Honors Geometry, then I am a mathematician.

Select the inverse of the conditional.

• If I am a mathematician, then I am in Honors Geometry.

• If I am not a mathematician, then I am not in Honors Geometry.

• If I am not in Honors Geometry, then I am not a mathematician.

• If I am a mathematician, then I am not in Honors Geometry.

Conditional: If I am in Honors Geometry, then I am a mathematician.

Select the contrapositive of the conditional.

• If I am a mathematician, then I am in Honors Geometry.

• If I am not a mathematician, then I am not in Honors Geometry.

• If I am not in Honors Geometry, then I am not a mathematician.

• If I am a mathematician, then I am not in Honors Geometry.

Conditional: If an angle is obtuse, then the angle measures 120 degrees.

Select a counterexample that proves this false.

• An angle measures 121 degrees

• An angle measures 89 degrees

• If the angle does not measure 120 degrees, then it is not obtuse.

• If an angle measures 120 degrees, then it is obtuse.

If B is between points A and C, AB = 10, and BC = 20. What is the measure of AC?

• AC = 30

• AC = 10

• AC = 20

• AC = 40

If B is between points A and C, AB = 2x - 3, BC = 7x - 10, and AC = 32. What is the value of x?

• x = 5

• x = 6

• x = 7

• x = 8

If M is the midpoint of JK, JM = 7x - 32, and MK = 89 - 4x, what is MK?

• MK = 57

• MK = 45

• MK = 73

• MK = 81

Suppose Q is the midpoint of PR, PQ = x + 10 and QR = 4x - 2. What is the value of PR?

• PR = 6

• PR = 8

• PR = 28

• PR = 12