1 / 15

Geometry

Geometry. 4.1 Congruent Figures. Congruent Figures. Two objects are congruent ( ) if they have the same size and shape Two figures are congruent if and only if their vertices can be matched up so that corresponding parts ( angles and sides ) of the figures are congruent.

jaden
Download Presentation

Geometry

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. Geometry 4.1 Congruent Figures

  2. Congruent Figures • Two objects are congruent ( ) if they have the same size and shape • Two figures are congruent if and only if their vertices can be matched up so that corresponding parts (angles and sides) of the figures are congruent. • When writing which figures are congruent, be sure to write the vertices in the same order.

  3. A R B C S T Triangle ABC Triangle RST

  4. A R B C S T Triangle ABC Triangle RST

  5. D M A J B C K L Quadrilateral ABCD Quadrilateral JKLM

  6. D M A J B C K L Quadrilateral ABCD Quadrilateral JKLM

  7. Congruent Figures • Sometimes you have to change the position of the figures to match up vertices • Practice “spinning” and “sliding” the figures mentally

  8. SPIN and SLIDE

  9. Defn. of Congruent Triangles • Two triangles are congruent ( ) if and only if their vertices can be matched up so that the corresponding parts (angles and sides) of the triangles are congruent. A E D F B C

  10. Defn. of Congruent Triangles • Two triangles are congruent ( ) if and only if their vertices can be matched up so that the corresponding parts (angles and sides) of the triangles are congruent. ∆ ABC ∆ DEF 7 D A 7 The order must match. 7 E B 7 A D 7 F C 7 AB DE BC EF B C E F CA FD

  11. CPCTC • When the definition of congruent triangles is used in a proof, use the wording: “corresponding parts of congruent triangles are congruent” CPCTC

  12. O B M N A Name 3 pairs of corresponding sides. Name 3 pairs of corresponding angles. Is it correct to say Y ?

  13. D C O A B Complete the statements given . . ? Why is

  14. B I G T P Name the coordinates of B, I, and G. Name the coordinates of a point D, such that . Name the coordinates of a point O, such that .

  15. Homework • pg. 120 #1-6, 10-13, (15-21 odd) • Makeups next week are Wednesday after school • Graphing Calculator?

More Related