Refer to the figure. If G is the midpoint of , which conjecture is true?

• Segment DE is exactly 5 feet long.
• ↔EG intersects ↔ DG at exactly two points.
• ∠DGE is congruent to ∠EFG
• None of the statements are true.

Determine the converse of the following if-then statement.
If the flowers are yellow, then they are daffodils.

• The flowers are not daffodils.
• If the flowers are not yellow, then they are not daffodils.
• The flowers are not yellow.
• If the flowers are daffodils, then they are yellow.

Determine the contrapositive of the following if-then statement.
If three points are noncollinear, then they form a triangle.

• If three points form a triangle, then they are noncollinear.
• If three points do not form a triangle, then they are not noncollinear.
• If three points do not form a triangle, then they are noncollinear.
• If three points are not noncollinear, then they do not form a triangle.

''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion.

• If the numbers 8 and 24 are even, then their sum is 32.
• The sum of 8 and 24 must be even.
• If the numbers 8 and 24 are odd, then their sum is 32.
• The sum of 8 and 24 must be odd.

Name the property of equality that justifies the following statement.
If CD = MN and CD = RS, then MN = RS.

• Distributive Property 
• Substitution Property 
• Symmetric Property 
• Reflexive Property

Which statement explains why ∠1 ≅ ∠3

• Vertical angles are congruent.
• Angles adjacent to the same angle or to congruent angles are congruent.
• Angles complementary to the same angle or to congruent angles are congruent.
• All right angles are congruent.

The measure of the supplement of an angle is 30 less than four times the measure of the complement of the angle. Find the measure of the angle.

• 50
• 130
• 60
• 40

What three properties hold true for congruence of segments?

• reflexive, symmetric, and substitution
• reflexive, multiplication, and division
• addition, subtraction, and multiplication
• reflexive, symmetric, and transitive

If ∠1 and ∠2 form a linear pair and m∠1 = 2x + 16 and m∠2 = 50x + 60, find m∠2.

• 160
• 20
• 80
• 180

A __________ is a compound statement formed by joining two or more statements with the word and.

• negation
• disjunction
• truth value
• conjunction