1 / 4

Proving Triangle Congruence: AAS and HL Postulates Explained

In this lesson, we explore the AAS (Angle-Angle-Side) and HL (Hypotenuse-Leg) postulates for proving triangle congruence. The AAS postulate states that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another triangle, the triangles are congruent. The HL postulate applies to right triangles, stating that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then these triangles are congruent.

pearlie
Télécharger la présentation

Proving Triangle Congruence: AAS and HL Postulates Explained

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. Proving Triangles Congruent Lesson 4-4 (AAS, HL) Lesson 4-4: AAS & HL Postulate

  2. A D D A B C F E B C F E Postulates If two angles and a non included side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the two triangles are congruent. AAS If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent. HL Lesson 4-4: AAS & HL Postulate

  3. Problem 1  Step 1: Mark the Given Step 2: Mark vertical angles AAS Step 3: Choose a Method (SSS /SAS/ASA/AAS/ HL ) Step 4: List the Parts in the order of the method Step 5: Fill in the reasons Step 6: Is there more? Given Vertical Angle Thm Given AAS Postulate Lesson 4-4: AAS & HL Postulate

  4. Problem 2  Step 1: Mark the Given Step 2: Mark reflexive sides HL Step 3: Choose a Method (SSS /SAS/ASA/AAS/ HL ) Step 4: List the Parts in the order of the method Step 5: Fill in the reasons Step 6: Is there more? Given Given Reflexive Property HL Postulate Lesson 4-4: AAS & HL Postulate

More Related