1 / 13

Congruent Figures Review

Congruent Figures Review. Congruent Figures. When two figures are congruent, there is a correspondence between their angles and sides such that corresponding sides and angles are congruent. Congruency Statements. What if we don’t have the picture?.

linus-deleon
Download Presentation

Congruent Figures Review

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. Congruent Figures Review

  2. Congruent Figures • When two figures are congruent, there is a correspondence between their angles and sides such that corresponding sides and angles are congruent. Congruency Statements

  3. What if we don’t have the picture? • Write the congruency statements for the following congruent triangles:

  4. Does this only apply to triangles? In the diagram, ABCD  KJHL. Find x and y.

  5. Using Geometry to Prove Congruence Decide whether the triangles are congruent. Justify your reasoning.

  6. Ways to Prove Triangles are Congruent Unit 11

  7. How much do you need to know about two triangles to prove they are congruent? Do we have to have all six pairs of corresponding parts congruent?

  8. Side-Side-Side Congruence Postulate (SSS) If the sides of one Δ are congruent to the sides of another Δ, then the Δs are congruent.

  9. Side-Angle-Side Congruence Postulate (SAS) If two sides and the included angle of one Δ are congruent to two sides and the included angle of another Δ, then the Δs are congruent.

  10. Angle-Side-Angle Congruence Postulate (ASA) If two angles and the included side of one Δ are congruent to two angles and the included side of another Δ, then the Δs are congruent.

  11. Angle-Angle-Side Congruence Postulate (AAS) If two angles and the excluded side of one Δ are congruent to two angles and the excluded side of another Δ, then the Δs are congruent.

  12. Hypotenuse-Leg Congruence Theorem (HL) If the hypotenuse and one leg of a right Δ are congruent to the hypotenuse and one leg of another Δ, then the Δs are congruent.

More Related