2 7 Angle Constructions How do I copy

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2. 7 Angle Constructions How do I copy an angle?

2. 7 Angle Constructions How do I copy an angle?

Copying an angle. Start with angle BAC.

Copying an angle. Start with angle BAC.

Step 1 Place point P below angle BAC. P will be the vertex of

Step 1 Place point P below angle BAC. P will be the vertex of the copied angle.

Step 2 From point P, draw a ray labeled Q. This will be the

Step 2 From point P, draw a ray labeled Q. This will be the lower side of the copied angle.

Step 3 Place your compass needle on point A and set the width to

Step 3 Place your compass needle on point A and set the width to about and inch.

Step 4 Draw an arc that crosses both sides of angle BAC and label

Step 4 Draw an arc that crosses both sides of angle BAC and label the two points J and K.

Step 5 Without changing your compass’ width, place the compass needle on point P

Step 5 Without changing your compass’ width, place the compass needle on point P and draw the SAME size arc you drew on angle BAC. Label the intersection of PQ point M.

Step 6 Now, place your compass needle on point K and set its width

Step 6 Now, place your compass needle on point K and set its width to JK.

Step 7 Without changing your compass’ width, move the compass to point M and

Step 7 Without changing your compass’ width, move the compass to point M and draw an arc intersecting with your first arc and call the intersection point L.

Step 8 Draw a ray from point P and call it PR. Make sure

Step 8 Draw a ray from point P and call it PR. Make sure it goes through point L and extends past that point.

Step 9 Mark your angles as congruent and write your congruent statement!

Step 9 Mark your angles as congruent and write your congruent statement!

Angle Bisector Star with angle PQR. We will bisect this angle!

Angle Bisector Star with angle PQR. We will bisect this angle!

Step 1 Place your compass needle on vertex point Q.

Step 1 Place your compass needle on vertex point Q.

Step 3 Without changing your compass’ width, draw an arc across each side of

Step 3 Without changing your compass’ width, draw an arc across each side of the angle.

Step 4 Do not change the compass’ width. Place the compass needle on the

Step 4 Do not change the compass’ width. Place the compass needle on the top arc and draw a new arc in the middle.

Step 5 Without changing your compass’ width, repeat the last step from the bottom

Step 5 Without changing your compass’ width, repeat the last step from the bottom arc on QR.

Step 6 Using your straightedge, draw a line from vertex Q to the intersection

Step 6 Using your straightedge, draw a line from vertex Q to the intersection of the two arcs in the middle of the angle.

Step 7 Place congruent marks on the two angles created from the bisector and

Step 7 Place congruent marks on the two angles created from the bisector and write your congruent statement! s