Geo Midterm Unit 2 Review

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.8.G.A.2

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

• If the angles are congruent.
• The angles are congruent.
• Then the measures of the angles are equal.
• The measures of the angles are equal.

Tags

CCSS.7.G.B.5

Given, "If angles are congruent, then the measures of the angles are equal." Identify the inverse.

• If the measures of the angles are equal, then the angles are congruent.
• "If angles are not congruent, then the measures of the angles are not equal."
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Tags

CCSS.HSG.CO.C.9

Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.

• If angles are congruent.
• Angles are congruent.
• Then the measures of the angles are equal.
• The measures of the angles are equal.

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

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

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

Tags

CCSS.4.G.A.1

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

• If the measures of the angles are equal, then the angles are congruent.
• "If angles are not congruent, then the measures of the angles are not equal."
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

If two lines in the same plane are parallel, then they will not intersect.

Is the converse to this true?

• Its false. Parallel lines intersect.

• True -- Parallel lines will not intersect.

• False.

• What are parallel lines?

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Is the inverse of this true?

• Its true.  If two angles are not supplementary, then they do not add up to 180 degrees.
• Its false.  If angles don't add up to 180, they can still be supplementary.
• Its false.  Supplementary angles add up to 90 degrees.
• Its true.  Supplementary angles can add up to less than 180 degrees.

Tags

CCSS.7.G.B.5

True or False: a counterexample is an example that makes a conjecture invalid

• True

• False

Write a definition of congruent angles as a biconditional statement.

• Angles are congruent if they have the same size and shape.

• If angles are congruent, then they have the same size and shape.

• Congruent angles are the same.

• Angles are congruent if and only if they have the same size and shape.

Tags

CCSS.8.G.A.2