Over Lesson 2–4 5-Minute Check 4 A.valid B.invalid Determine whether the stated conclusion is valid based on the given information. If not, choose invalid.

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Over Lesson 2–4 5-Minute Check 4 A.valid B.invalid Determine whether the stated conclusion is valid based on the given information. If not, choose invalid. Given:  A and  B are congruent. Conclusion:  A and  B are vertical angles. BELL RINGER You do not necessarily need to write your answer down anywhere, simply read the question, answer the question, and be prepared to share your answer and process with the class.

HW Answers for: Pages (#1-#8) ALL, #10, #12, #14, (#26-#31) ALL, (#40-#52) ALL

HW Answers for: Pages (#1-#8) ALL, #10, #12, #14, (#26-#31) ALL, (#40-#52) ALL

HW Answers for: Pages (#1-#8) ALL, #10, #12, #14, (#26-#31) ALL, (#40-#52) ALL

HW Answers for: Pages (#1-#8) ALL, #10, #12, #14, (#26-#31) ALL, (#40-#52) ALL

HW Answers for: Pages (#1-#8) ALL, #10, #12, #14, (#26-#31) ALL, (#40-#52) ALL

HW Answers for: Pages (#1-#8) ALL, #10, #12, #14, (#26-#31) ALL, (#40-#52) ALL

HW Answers for: Pages (#1-#8) ALL, #10, #12, #14, (#26-#31) ALL, (#40-#52) ALL

HW Answers for: Pages (#1-#8) ALL, #10, #12, #14, (#26-#31) ALL, (#40-#52) ALL

HW Answers for: Pages (#1-#8) ALL, #10, #12, #14, (#26-#31) ALL, (#40-#52) ALL

HW Answers for: Pages (#1-#8) ALL, #10, #12, #14, (#26-#31) ALL, (#40-#52) ALL

Then/Now Used conditional statements and the converse, inverse and contrapositive to analyze and write statements. Identify and use basic postulates about points, lines, and planes. Write paragraph proofs.

Vocabulary postulate axiom proof theorem deductive argument paragraph proof informal proof

Concept Fill in the blanks in your handout with the above information

Concept Fill in the blanks in your handout with the above information

Example 2 Analyze Statements Using Postulates Answer:Always; Postulate 2.5 states that if two points lie in a plane, then the entire line containing those points lies in the plane. A. Determine whether the following statement is always, sometimes, or never true. Explain. If plane T contains contains point G, then plane T contains point G.

Example 2 Analyze Statements Using Postulates Answer: Never; noncollinear points do not lie on the same line by definition. B. Determine whether the following statement is always, sometimes, or never true. Explain. contains three noncollinear points.

Example 2 A. Determine whether the statement is always, sometimes, or never true. Plane A and plane B intersect in exactly one point. A.always B.sometimes C.never

Example 2 B. Determine whether the statement is always, sometimes, or never true. Point N lies in plane X and point R lies in plane Z. You can draw only one line that contains both points N and R. A.always B.sometimes C.never

Concept Fill in the blanks in your handout with the above information

Example 3 Write a Paragraph Proof Given: Prove:ACD is a plane. Proof: and must intersect at C because if two lines intersect, then their intersection is exactly one point. Point A is on and point D is on. Points A, C, and D are not collinear. Therefore, ACD is a plane as it contains three points not on the same line.

Concept

Don’t forget to study for your QUIZ tomorrow.. Over 2-1, 2-2, 2-3, & 2-5.

Then/Now HW: Pages (#1-#13) ALL, (#16-#28) Evens, (#34-#41) ALL

Then/Now