1 / 8

NM Standards: AFG.C.5, GT.A.5, GT.B.4, DAP.B.3

NM Standards: AFG.C.5, GT.A.5, GT.B.4, DAP.B.3. Any point that is on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. M. B. N. B. M. P. D. If is an angle bisector, then PM = PN. P. A. C. N. D. A. C.

awena
Download Presentation

NM Standards: AFG.C.5, GT.A.5, GT.B.4, DAP.B.3

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. NM Standards: AFG.C.5, GT.A.5, GT.B.4, DAP.B.3

  2. Any point that is on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. M B N B M P D If is an angle bisector, then PM = PN P A C N D A C If PM = PN, then is an angle bisector. Any point equidistant from the endpoints of a segment lies on the perpendicular bisector of the segment. • Any point on the angle bisector is equidistant from the sides of the angle. • Any point equidistant from the sides of an angle lies on the angle bisector. Remember, distance is always measured on the perpendicular.

  3. Definitions Point of Concurrency - A common point in which three or more lines intersect Circumcenter - The intersection point of the three perpendicular bisectors of a triangle Incenter - The intersection point of the three angle bisectors of a triangle Centroid - The intersection point of the three medians of a triangle Orthocenter - The intersection point of the three altitudes of a triangle

  4. Theorems Circumcenter Theorem- The circumcenter of a triangle is equidistant from the vertices of the triangle Incenter Theorem- The incenter of a triangle is equidistant from each side of the triangle Centroid Theorem- The centroid of a triangle is two-thirds the distance of its corresponding median of the triangle

  5. Example 1-2a ALGEBRA Points U, V, and W are the midpoints of respectively. Find a,b, and c. Find a. Segment Addition Postulate Centroid Theorem Substitution Multiply each side by 3 and simplify. Subtract 14.8 from each side. Divide each side by 4.

  6. Example 1-2a Find b. Segment Add Postulate Centroid Theorem Find c. Segment Addition Postulate Centroid Theorem

  7. Example 1-2b ALGEBRA Points T, H, and G are the midpoints of respectively. Find w,x, and y. Answer:

  8. HW : Page 242

More Related