1 / 10

Exploring Congruent Triangles: Identifying Corresponding Parts and Their Properties

This chapter focuses on understanding and proving the congruence of triangles by identifying all corresponding congruent parts. We demonstrate how to show that two polygons are congruent using congruence statements and the concept of CPCTC (Corresponding Parts of Congruent Triangles are Congruent). Through problem-solving, including finding missing values and applying the Third Angles Theorem, we enhance comprehension of triangle congruence in geometric figures, using real-world applications such as architectural designs.

vera-giles
Télécharger la présentation

Exploring Congruent Triangles: Identifying Corresponding Parts and Their Properties

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. Chapter 4.3 Congruent Triangles

  2. Concept 1

  3. Angles: Sides: Identify Corresponding Congruent Parts Show that the polygons are congruent by identifying all of the congruent corresponding parts. Then write a congruence statement. Answer: All corresponding parts of the two polygons are congruent. Therefore, ABCDE RTPSQ.

  4. CPCTC • Congruent parts of congruent triangles are congruent

  5. A. B. C. D. The support beams on the fence form congruent triangles. In the figure ΔABC ΔDEF,which of the following congruence statements correctly identifies corresponding angles or sides?

  6. Use Corresponding Parts of Congruent Triangles In the diagram, ΔITP ΔNGO. Find the values of x and y. O  P CPCTC

  7. In the diagram, ΔFHJ ΔHFG. Find the values of x and y. A.x = 4.5, y = 2.75 B.x = 2.75, y = 4.5 C.x = 1.8, y = 19 D.x = 4.5, y = 5.5

  8. Concept 2

  9. Use the Third Angles Theorem ARCHITECTURE A drawing of a tower’s roof is composed of congruent triangles all converging at a point at the top. If IJK  IKJ and mIJK = 72, find mJIH.

  10. Prove That Two Triangles are Congruent Write a two-column proof. Prove:ΔLMNΔPON

More Related