Bisects

What does the word BISECT mean?

• To cut something into more than five pieces.

• It is a plane with two sets of wings.

• A shape that has three sides. 

• To cut something into two congruent pieces or in half.

• 6

• 11

• 13

• 23

bisects \angle ABC. Solve for x and find m

What is the value of x?

• 24

• 48.5

• 97.5

• 48

Which of the following statements is true?

• the diagonals bisect each other

• the diagonals are congruent

• ∠B and ∠D  are congruent

• DB bisects AC

What is x?

• 35

• 45

• 55

• 90

Which of the following statements is false?

• BD and AC are perpendicular

• BD and AC are congruent

• ∠A and ∠C  are congruent

• BD bisects AC

Statements Reasons

1. WZ bisects ∠XZY 1. ​ (a)  

2. WZ bisects ∠XWY 2. Given ​

3. ∠XZW ≅ ∠YZW 3. ​ (b)  

4. ∠XWZ ≅ ∠YWZ 4. ​ (c)  

5. ZW ≅ ZW 5. ​ (d)  

6. △WZX ≅ △WZY 6. ​ (e)  

• Given

• Definition of bisect

• Reflexive

• ASA

• Definition of midpoint

• SSS

• SAS

• AAS

• Vertical Angles Theorem

• ZX ≅ WY

Statements Reasons

1. ∠A ≅ ∠C 1. ​ (a)  

2. BD bisects ∠ABC 2. ​ (b)  

3. ∠DBA ≅ ∠DBC 3. ​ (c)  

4. BD ≅ BD 4. ​ (d)  

5. △ABD ≅ △CBD 5. ​ (e)  

• Given

• Definition of bisect

• Reflexive

• AAS

• Definition of midpoint

• SSS

• SAS

• ASA

• Vertical Angles Theorem

• Linear Pairs Theorem