1 / 11

4.2 /4.3 – Triangle Congruence

4.2 /4.3 – Triangle Congruence. Triangle Congruence. Before … … to prove figures congruent you must show ALL corresponding sides and angles are congruent Now … … we have some shortcuts for TRIANGLES. Shortcut #1. SSS ~ S ide- S ide- S ide

wesley-bates
Download Presentation

4.2 /4.3 – Triangle Congruence

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. 4.2 /4.3 – Triangle Congruence

  2. Triangle Congruence • Before … • … to prove figures congruent you must show ALL corresponding sides and angles are congruent • Now … • … we have some shortcuts for TRIANGLES

  3. Shortcut #1 • SSS ~ Side-Side-Side • If the triangles have three sets of congruent sides, the triangles are congruent (I don’t know any angles) 10 10 5 8 8 5

  4. “INCLUDED” • What does it mean to be an included angle or an included side? X C 7 in 40° Y 5 in 55° A B Z

  5. “Included” • An included angle is between two sides (the rays that make the angle would be the sides)

  6. “Included” • An included side is between two angles (the endpoints of the side would be the vertices of the angles)

  7. Shortcut #2 • SAS ~ Side-(included)Angle-Side • If the triangles have 2 sets of congruent sides and a set of congruent included angles, then the triangles are congruent 7 70° 4 4 70° 7

  8. Shortcut #3 • ASA ~ Angle-(included) Side-Angle • If the triangles have 2 sets of congruent angles and a set of congruent included sides, then the triangles are congruent 80° 70° 3 3 70° 80°

  9. Shortcut #4 • AAS ~ Angle-Angle-Side • If the triangles have two sets of congruent angles and a set of congruent sides, then the triangles are congruent 12 80° 70° 70° 80° 12

  10. Right Triangle Congruence (shortcut #5) • If the triangles are RIGHT triangles, there is another option … • HL ~ Hypotenuse-Leg 5 8 13 13 10 10 8 5

  11. Incorrect Congruence Postulates • These ways DON’T work! • AAA (AAAAAAAAgggghhhh) doesn’t work • ASS (if you can’t say it, you can’t use it!) • This is the same as SSA – that doesn’t work either

More Related