Discovering Geometry Chapter 2 Review Activity

Find the next two terms in the sequence:

1, 3, 6, 10, 15, 21, ___, ___, …

• 27, 34

• 28, 35

• 28, 36

• 23, 26

Find the converse of the statement:

If X, then Y.

• Then Y, if X.

• If Y, then X.

• If not X, then not Y.

• If not Y, then not X.

Find the value of angle a

• 70°

• 55°

• 25°

• 40°

Find the value of angle c

• 70°

• 55°

• 25°

• 10°

Find the value of angle b

• 70°

• 55°

• 25°

• 60°

Why is this conclusion valid?

• Angle Addition Postulate

• Complementary angles

• Supplementary angles

• Vertical Angles Theorem

Give the reason for the conclusion.

Given: ∠A ≅ ∠B and ∠C ≅ ∠A

Conclusion: ∠B ≅ ∠C

• Subtraction Property of Congruence

• Substitution Property of Equality

• Transitive Property of Congruence

• Division Property of Equality

Given: ∠1 and ∠2 are complementary.

Conclusion: m∠1 + m∠2 = 90°

• Angle Addition Postulate

• Definition of supplementary angles

• Addition Property of Equality

• Definition of complementary angles

Given: the diagram

Conclusion: m∠1 + m∠2 = m∠AXC

• Angle Addition Postulate

• Definition of supplementary angles

• Addition Property of Equality

• Definition of complementary angles

Give the reason for the conclusion.

Given: ∠JKL = 90°

Conclusion: ∠JKL is a right angle

• Angle Addition Postulate

• Substitution Property of Equality

• Definition of a right angle

• All right angles are congruent