$$ ∢ABC=120 $$ $$ ∢ABD=60 $$ Which of the following are true? A A A B B B C C C D D D 60 120

AB bisects $$ ∢\text{DBC} $$.

Bisector: Identifying and defining elements

Question 1

Which of the following figures has a bisector?

Question 2

Given:

$∢\text{ABC}=90$

$$ ∢DBC=45 $$

Is BD a bisector?

Question 3

$$ ∢ABC=120 $$

$$ ∢ABD=60 $$

Which of the following are true?

Question 4

Which line segment(s) are bisectors?

Question 5

Given:

$$ ∢ABC=90 $$

$$ ∢ABD=45 $$

$$ ∢EBC=22.5 $$

Choose sides that are bisectors

Examples with solutions for Bisector: Identifying and defining elements

Exercise #1

Which of the following figures has a bisector?

Video Solution

Step-by-Step Solution

The answer is C because the angle bisector divides the angle into two equal angles. In diagram C, the angle bisector divides the right angle, which is equal to 90 degrees, into 2 angles that are equal to each other. $45=45$

Answer

Exercise #2

Given:

$∢\text{ABC}=90$

$∢DBC=45$

Is BD a bisector?

Video Solution

Answer

Yes

Exercise #3

$∢ABC=120$

$∢ABD=60$

Which of the following are true?

Video Solution

Answer

_{BD bisects $∢ABC$ .}

Exercise #4

Which line segment(s) are bisectors?

Video Solution

Answer

All of the above.

Exercise #5

Given:

$∢ABC=90$

$∢ABD=45$

$∢EBC=22.5$

Choose sides that are bisectors

Video Solution

Answer

Answers a + b

Question 1

Look at the diagram below.

Which line segment is the bisector of the angle?

Exercise #6

Look at the diagram below.

Which line segment is the bisector of the angle?