1 / 8

Warm Up

Warm Up. Given: AM = BM Prove:<AMP = <BMO. Circle O 1. Given AM = BM 2. Given MO = MO 3. Reflexive Prop Draw AO and BO 4. Two points determine a segment AO = BO 5. All radii of a circle are congruent 6. Δ AMO = Δ BMO 6. SSS 7. <AMO = <BMO 7. CPCTC.

axel-montgomery
Download Presentation

Warm Up

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. Warm Up Given: AM = BM Prove:<AMP = <BMO • Circle O 1. Given • AM = BM 2. Given • MO = MO 3. Reflexive Prop • Draw AO and BO 4. Two points determine a segment • AO = BO 5. All radii of a circle are • congruent • 6. ΔAMO = ΔBMO 6. SSS • 7. <AMO = <BMO 7. CPCTC

  2. 3.4 Beyond CPCTC Medians: Every triangle has 3 medians A median is a line segment drawn from any vertex to the midpoint of its opposite side. A median bisects the segment.

  3. B E F A C D Name the 3 medians of triangle ABC.

  4. Altitudes: Every triangle has 3 altitudes. An altitude is a line segment drawn perpendicular from any vertex to its opposite side. *The altitude could be drawn outside the triangle to be perpendicular. Altitudes form right angles 90˚ You may need to use auxiliary lines (lines added)

  5. Could an altitude also be a median? Yes, for an isosceles triangle when drawn from the vertex.

  6. Postulate: Two points determine a line, ray or segment. Determine (one and only one line)

More Related