201 Ch 2 Review Questions

Given: the picture

Justify the conclusion: AD + DB = AB

• Def. of midpoint

• SAP (segment addition postulate)

• AAP (angle addition postulate)

• def. of collinear

Given: D is the midpoint of  $\overline{AB}$  

Justify the statement: AD = DB

• Def. of midpoint

• SAP (segment addition postulate)

• AAP (angle addition postulate)

• def. of collinear

Given: picture 

 Justify the conclusion:  $m\angle1+m\angle2=m\angle CDB$  

• Def. of perpendicular lines

• SAP (segment addition postulate)

• AAP (angle addition postulate)

• def. of angle bisector

Tags

CCSS.HSG.CO.C.9

Given: AD = DE and DF = DF

 Justify the conclusion: AD + DF = DE + DF 

• addition

• SAP (segment addition postulate)

• AAP (angle addition postulate)

• substitution

Given:  $\overrightarrow{DB}\$  bisects $\angle FDG$  

Justify the conclusion:  $\angle2\cong\angle3$  

• def. of midpoint

• def. of linear pair

• AAP (angle addition postulate)

• def. of angle bisector

Given: picture

Justify the conclusion:  $\angle2\cong\angle6$  

• def. of congruence

• right angles are congruent

• vertical angles are congruent

• def. of angle bisector

Tags

CCSS.HSG.CO.C.9

Given:  $\overline{AB}\perp\overline{CE}$  

Justify the conclusion:  $\angle EDB$  is a right angle

• def. of congruence

• right angles are congruent

• def of perpendicular lines

• def. of right angle

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Given:  $\angle EDB$  is a right angle

Justify the conclusion:  $m\angle EDB=90$  

• def. of congruence

• right angles are congruent

• def of perpendicular lines

• def. of right angle

Tags

CCSS.7.G.B.5

Given:  $\angle4\ and\ \angle3$  are complementary and  $\angle4\ and\ \angle5$  are complementary

Justify the conclusion:  $\angle3\cong\angle5$  

• def. of complementary angles

• The complement theorem

• The Congruent complements theorem

• Transitive

Given:  $\angle EDB$  and    $\angle HDG$  right angles

Justify the conclusion:  $\angle EDB\cong\angle HDG$  

• def. of congruence

• right angles are congruent

• def of perpendicular lines

• def. of right angle

Tags

CCSS.HSG.CO.C.9