Geometry Reasoning and Proof

How would you describe points I, L, C?

• collinear

• non-coplanar

• symmetric

• coplanar

Consider the points A (-4, 5) and B (6, -10). What is the midpoint between these points?

• 1/2, -2

• -4.5, 8

• 1, -2.5

• -5, 7.5

Angles that have a sum of 180° are ALWAYS supplementary.

• TRUE

• FALSE

Find what the value of x.

• 56

• 66

• 156

• 166

Given the conditional statement "If an angle measures 33°, than the angle is acute", what is the CONVERSE?

• If an angle is acute, than the angle measures 33°.

• If an angle does NOT measure 33°, than the angle is NOT acute.

• If an angle is NOT acute, than the angle does NOT measure 33°.

Given the conditional statement "If an angle measures 33°, than the angle is acute", what is the CONTRAPOSITIVE?

• If an angle is acute, than the angle measures 33°.

• If an angle does NOT measure 33°, than the angle is NOT acute.

• If an angle is NOT acute, than the angle does NOT measure 33°.

An exact location in space with no length or width.

• Ray

• Point

• Line

• Line segment

• Line
• Ray
• Line segment
• Angle

Tell whether the following is always, sometimes, or never true:

If line m lies in plane X and line m contains a point Q, then point Q lies in plane X.

• always

• sometimes

• never

Either draw a valid conclusion or state "no valid conclusion". If there is a valid conclusion, tell whether the conclusion is by the law of detachment or syllogism: Given: If a quadrilateral has diagonals that bisect each other, then it is a parallelogram. The diagonals of quadrilateral PQRS bisect each other.

• No valid conclusion

• PQRS is a parallelogram, by Law of Detachment

• PQRS is a parallelogram by Law of Syllogism