If $$ \theta $$ is an angle, what is the measure of each angle formed by its bisector?

Each angle formed by the bisector is $$ \frac{\theta}{2} $$ .

If $$ m\theta = 80^\text{o} $$ , what is the measure of each angle formed by the angle bisector?

Each angle is $$ 40^\text{o} $$ .

If $$ m\triangle ABC = 180^\text{o} $$ , what is the sum of the measures of angles A, B, and C?

The sum of the measures of angles A, B, and C is 180 degrees.

In the equation $$ m\triangle ABC = m\triangle ABD + m\triangle DBC $$ , what does it represent?

It represents the relationship between the angles in a triangle when one angle is bisected.

If $$ m\triangle ABC = 2x + 30 $$ and $$ m\triangle ABD = 3x + 5 $$ , how do you find $$ m\triangle DBC $$ ?

Use the equation $$ m\triangle ABC = m\triangle ABD + m\triangle DBC $$ to solve for $$ m\triangle DBC $$ .

What is the measure of a right angle?

A right angle measures exactly 90 degrees.

If $$ m\triangle ABC = 161^\text{o} $$ , what is the measure of the other two angles if one is acute?

The other angle must be less than 19 degrees to maintain the triangle's angle sum property.

What is the formula for finding the measure of an angle when given its bisector?

If $$ m\triangle ABC = x $$ , then each angle formed by the bisector is $$ \frac{x}{2} $$ .

If $$ m\triangle ABC = 180^\text{o} $$ and $$ m\triangle ABD = 90^\text{o} $$ , what is $$ m\triangle DBC $$ ?

$$ m\triangle DBC = 90^\text{o} $$ .

Angle Bisector Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.CO.C.9

3.

FLASHCARD QUESTION

Front

What is the relationship between the angles formed by an angle bisector and the original angle?

Back

The angles formed by the angle bisector are equal to each other and each is half of the original angle.

Tags

CCSS.HSG.CO.C.9

4.

FLASHCARD QUESTION

Front

In triangle ABC, if angle A is bisected by line AD, what can be said about angles BAD and CAD?

Back

Angles BAD and CAD are equal.

Tags

CCSS.HSG.CO.C.9

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

How do you find the value of x in angle bisector problems?

Back

Set the two angles formed by the bisector equal to each other and solve for x.

Tags

CCSS.HSG.CO.C.9

7.

FLASHCARD QUESTION

Front

What is the measure of an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.

Tags

CCSS.4.G.A.1

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