1 / 16

Exploring Congruent Triangles

Exploring Congruent Triangles. Section 4.5. Warm Up 1. Name all sides and angles of ∆ FGH . 2. What is true about  K and  L ? Why? 3. What does it mean for two segments to be congruent?. F. B. A. C. E. D. The Idea of a Congruence.

kevin-long
Download Presentation

Exploring Congruent Triangles

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. Exploring Congruent Triangles Section 4.5

  2. Warm Up 1.Name all sides and angles of ∆FGH. 2. What is true about K and L? Why? 3.What does it mean for two segments to be congruent?

  3. F B A C E D The Idea of a Congruence Two geometric figures with exactly the same size and shape. Each triangle is made up of six parts: 3 sides and 3 angles

  4. Corresponding Parts • AB DE • BC EF • AC DF •  A  D •  B  E •  C  F B A C E F D If all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent. ABC DEF

  5. Congruent Triangles CPCTC Corresponding Parts of Congruent Triangles are Congruent.

  6. Congruence Transformations • Congruency amongst triangles does not change when you… • slide (translation), • Turn (rotation), • or flip (reflection) … the triangles.

  7. Write a congruence statement for the triangles. Identify all pairs of congruent corresponding parts. The diagram indicates that JKL TSR. Corresponding angles J T, K S, L R Corresponding sides JK TS KL SR LJ RT EXAMPLE 1 Identify congruent parts SOLUTION

  8. Complete each congruence statement.

  9. Write a congruence statement.

  10. Given ΔBCD = ΔRST, m C = 57, m R = 64, m D = 5x + 4. Find x and m T. Given ΔQRS = ΔLMN, RS = 8, QR=14, QS=10, MN = 3x – 25. Find x.

  11. Name the corresponding angles and sides if ΔBCD = ΔEFG. Given ΔCAT = ΔDOG, CA=14, AT=18, TC=21 and DG=2x+7, find the value of x.

  12. mDBC. Given: ∆ABC ∆DBC. Find the value of x and

  13. Given: ∆ABC  ∆DEF Find the value of x. Find mF.

  14. Lesson Quiz 1. ∆ABC  ∆JKL and AB = 2x + 12. JK = 4x – 50. Find x and AB. Given that polygon MNOP polygon QRST, identify the congruent corresponding part. 2. NO  ____ 3. T  ____

More Related