Use the diagram above for questions 1 – 3. 1. Identify the linear pair(s) that include ∠12. Identify the vertical angles. 3. Are ∠6 and ∠7a linear pair? Explain. 4. Given diagram with AC! "##and DB! "##intersecting at L. Determine m∠DLAB C L A 5x+ 10 10y- 30 3x+ 2yGeometry Date: 09/18/2017 . . D
For each of the following problems, read through the given and determine what conclusion directly follows the given. Write and justify your conclusion using an if…then…becausestatement. Be sure to label your diagrams. 1. Given: BCbisects ADat C. Conclusion: If BCbisects ADat C, then AC≅CDbecause when a segment bisects another segment it creates two congruent segments. 2. Given: Diagram Conclusion: If ∠1 and ∠2are vertical, then ∠1≅ ∠2because vertical angles are congruent. 3. Given: AB⊥DCConclusion: If AB⊥DC, then ∠ABCis right because perpendicular segments form a right angle. 21BDCACABD
1 2 JMKLFCDAB4. Given: Diagram Conclusion: If ∠1 and ∠2are a linear pair (adjacent and form a straight angle), then ∠1is supplementary to ∠2because a linear pair of angles are always supplementary. 5. Given: K is the midpoint of JLConclusion: If K is the midpoint of JL, then JK≅KLbecause a midpoint divides a segment into two congruent segments. 6. Given: CDbisects ABat F Conclusion: If CDbisects ABat F, then AF≅FBbecause when a segment bisects another segment it divides it into two congruent segments.