1 / 12

Constructions 2.0

Constructions 2.0. 3.6.12. Step 1: Copying an Angle. Start with an angle BAC that we are going to copy. Step 1. Make a point P that will be the vertex of the new angle. Step 2. From P, draw a ray PQ. This will become one side of the new angle. This ray can go off in any direction

jelani-underwood
Download Presentation

Constructions 2.0

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Constructions 2.0 3.6.12

  2. Step 1: Copying an Angle • Start with an angle BAC that we are going to copy.

  3. Step 1 • Make a point P that will be the vertex of the new angle.

  4. Step 2 • From P, draw a ray PQ. This will become one side of the new angle. • This ray can go off in any direction • It does not have to be parallel to anything • It does not have to be the same length as AC or AB

  5. Step 3 • Place the compass on point A, set to any convenient width

  6. Step 4 • Draw an arc across both sides of the angle, creating the points J and K as shown.

  7. Step 5 • Without changing the compass width, place the compass point on P and draw a similar arc there, creating point M as shown.

  8. Step 6 • Set the compass on K and adjust its width to point J

  9. Step 7 • Without changing the compass width, move the compass to M and draw and arc across the first one, creating point L where they cross.

  10. Step 8 • Draw a ray PR from P through L and onwards a little further. The exact length is not important.

  11. Done. The angle <RPQ is congruent to angle <BAC.

  12. Why this works • This works because we created two congruent triangles.

More Related