Ticket to retake Unit 9 Exam

What can be assumed by this diagram?

(SELECT ALL THAT APPLY)

• Points A, B, and C are coplanar.

• Points A, F, and G are coplanar.

• Line FG lies in plane P.

• Line CD and Line FH intersect at point H.

Use the diagram to determine whether you can assume the statement:

Points A, B, C, and E are coplanar.

• True

• False

Use the diagram to determine whether you can assume the statement:

Points F, B, and G are collinear.

• True

• False

Use the diagram to determine whether you can assume the statement:

Line HC is perpendicular to Line GE.

• True

• False

Answer explanation

We can assume this because of the marked right angle symbol.

Use the diagram to determine whether you can assume the statement:

Line AB is parallel to Line GE.

• True

• False

Answer explanation

There's no markings to indicate that the lines are parallel.

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

If it is an angle, then it is acute. What is an appropriate counterexample?

• 70⁰
• 45⁰
• 120⁰
• True. There is no counterexample.

Which is a counterexample of: If a four sided shape has two sides the same length, then it must be a rectangle.

• quadrilateral
• rectangle
• square
• triangle

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

• goldfish
• frog
• elephant
• cat

any two points in space lie in exactly one line

• linear pair theorem

• angle addition postulate

• line postulate

• plane postulate