Similar Triangles Angle Bisector Theorem

Identify the  missing statement or reason

• Given

• Vertical Angles Theorem

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

What would be the correct "given" statements for this diagram?

• ∡A≅∡C, and segment DB is the angle bisector of ∡CDA

• BD=BD, and DB=DB

• ∡A≅∡C, and segment DB is the angle bisector of ∡CBA

• ∡B≅∡D, segment DB is the angle bisector of ∡DCA.

Complete each proportion.
CB / DM  =  AC / ?

• BM

• MA

• BC

• AD

Complete each proportion.
AB / BM  =  ? / CD

• BC

• AC

• MD

• MC

Find the length of TU

• 15

• 12

• 26

• 13

• A
• B
• C
• D

Mix and Match

• Reflexive Property

• Side Angle Side

• Definition of Angle Bisector

• CPCTC

• Given

What is the "statement" for step 2 of the proof?

• ∆BAC≅∆DAC

• BC=DC

• ∡B≅∡D

• ∡BAC≅∡DAC

The angle-bisector theorem can be applied in

• isosceles triangles only

• any type of triangle

• right-angled triangles

• equilateral triangles only

What will the last "reason" of this proof be?

• Definition of Midpoint

• Definition of Angle Bisector

• CPCTC

• Reflexive