QuestionConstruct the bisector of $\angle A$ . This forms two angles whose measure is $\frac{1}{2} m \angle A$ . Then construct the bisector of one of the resulting angles to form an angle whose measure is $\frac{1}{4} m \angle A$ .

Studdy Solution

STEP 1

Assumptions1. We have a given angle, $\angle A$ . . We have a compass and a straightedge for the construction.
3. We are to construct an angle whose measure is $\frac{1}{4} m \angle A$ .

STEP 2

First, we need to bisect the given angle $\angle A$ . This can be done using a compass and a straightedge.

STEP 3

The process of bisecting an angle involves drawing an arc centered at the vertex of the angle that intersects both rays of the angle. Then, without changing the compass width, draw an arc from each of the points where the first arc intersects the rays. The intersection of these two arcs lies on the angle bisector.

STEP 4

By bisecting $\angle A$ , we form two angles whose measures are $\frac{1}{2} m \angle A$ .

STEP 5

Next, we need to bisect one of the resulting angles to form an angle whose measure is $\frac{1}{4} m \angle A$ .

STEP 6

Repeat the process of bisecting an angle on one of the resulting angles from the previous step.

STEP 7

By bisecting one of the angles whose measure is $\frac{1}{2} m \angle A$ , we form an angle whose measure is $\frac{1}{4} m \angle A$ .
Fill in the blanks. Construct the bisector of $\angle A$ . This forms two angles whose measure is $\frac{1}{2} m \angle A$ . Then construct the bisector of one of the resulting angles to form an angle whose measure is $\frac{1}{4} m \angle A$ .

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QuestionConstruct the bisector of $\angle A$ . This forms two angles whose measure is $\frac{1}{2} m \angle A$ . Then construct the bisector of one of the resulting angles to form an angle whose measure is $\frac{1}{4} m \angle A$ .

Studdy Solution

STEP 1

Assumptions1. We have a given angle, $\angle A$ . . We have a compass and a straightedge for the construction.
3. We are to construct an angle whose measure is $\frac{1}{4} m \angle A$ .

STEP 2

First, we need to bisect the given angle $\angle A$ . This can be done using a compass and a straightedge.

STEP 3

STEP 4

By bisecting $\angle A$ , we form two angles whose measures are $\frac{1}{2} m \angle A$ .

STEP 5

Next, we need to bisect one of the resulting angles to form an angle whose measure is $\frac{1}{4} m \angle A$ .

STEP 6

Repeat the process of bisecting an angle on one of the resulting angles from the previous step.

STEP 7

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QuestionConstruct the bisector of ∠A\angle A∠A. This forms two angles whose measure is 12m∠A\frac{1}{2} m \angle A21​m∠A. Then construct the bisector of one of the resulting angles to form an angle whose measure is 14m∠A\frac{1}{4} m \angle A41​m∠A.

Studdy Solution

STEP 1

Assumptions1. We have a given angle, ∠A\angle A∠A. . We have a compass and a straightedge for the construction.3. We are to construct an angle whose measure is 14m∠A\frac{1}{4} m \angle A41​m∠A.

STEP 2

First, we need to bisect the given angle ∠A\angle A∠A. This can be done using a compass and a straightedge.

STEP 3

STEP 4

By bisecting ∠A\angle A∠A, we form two angles whose measures are 12m∠A\frac{1}{2} m \angle A21​m∠A.

STEP 5

Next, we need to bisect one of the resulting angles to form an angle whose measure is 14m∠A\frac{1}{4} m \angle A41​m∠A.

STEP 6

Repeat the process of bisecting an angle on one of the resulting angles from the previous step.

STEP 7

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Start learning now

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QuestionConstruct the bisector of $\angle A$ . This forms two angles whose measure is $\frac{1}{2} m \angle A$ . Then construct the bisector of one of the resulting angles to form an angle whose measure is $\frac{1}{4} m \angle A$ .

Assumptions1. We have a given angle, $\angle A$ . . We have a compass and a straightedge for the construction.
3. We are to construct an angle whose measure is $\frac{1}{4} m \angle A$ .

First, we need to bisect the given angle $\angle A$ . This can be done using a compass and a straightedge.

By bisecting $\angle A$ , we form two angles whose measures are $\frac{1}{2} m \angle A$ .

Next, we need to bisect one of the resulting angles to form an angle whose measure is $\frac{1}{4} m \angle A$ .