H Geom Fall Review - Triangles and Congruence

In  $\Delta ABC$  ,  $\overline{BD}$   bisects  $\angle ABC$  and  $\angle A\cong\angle C$  .  Which theorem proves  $\Delta ABD\cong\Delta CBD$  ?

• SAS

• AAS

• SSA

• HL

Tags

CCSS.HSG.SRT.B.5

In quadrilateral ABCD, diagonal  $\overline{AC}$  is drawn to create two triangles.  If  $\overline{AB}\parallel\overline{CD}\$ and  $\angle B\cong\angle D$  , then  $\Delta ABC\cong\Delta CDA$  by which theorem? 

• AAS

• SAS

• SSA

• ASA

Tags

CCSS.HSG.SRT.B.5

Which of the following goes in #2?

• Given

• $\angle2\cong\angle3$

• $\angle2\cong\angle4$

• $\angle1\cong\angle3$

Tags

CCSS.HSG.SRT.B.5

Which of the following goes in #6?

• SSS

• SAS

• ASA

• HL

Tags

CCSS.HSG.SRT.B.5

Which of the following goes in #3?

• M is the midpoint of $\overline{AB}$

• $\overline{AM}\cong\overline{MB}$

• $\overline{DA}\cong\overline{EM}$

• $\overline{AD}\parallel\overline{ME}$

Tags

CCSS.HSG.CO.C.10

In $\Delta ABC$ with  $\overline{AB}\cong\overline{BC}$ ,  $m\angle A\ =\ 3x\ +\ 20$  and  $m\angle B\ =\ 4x$ .  What is the measure of  $\angle B$ ?    

• 14

• 20

• 56

• 80

Tags

CCSS.HSG.CO.C.9

Solve for x

• x = 30

• x = 10

• x = 20

• x = 24

Tags

CCSS.8.G.A.5

In $\Delta DEF$ , G lies on  $\overline{EF}$  such that  $\overline{DG}$  is an altitude.  If  $m\angle EDG\ =\ 32\degree$  and  $m\angle F\ =\ 24\degree$ , what is the measure of  $\angle EDF$ ? 

• 58

• 66

• 90

• 98

Tags

CCSS.HSG.CO.C.10