1 / 8

EXAMPLE 1

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.

tekli
Download Presentation

EXAMPLE 1

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. 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

  2. In the diagram, DEFG SPQR. Find the value of x. Find the value of y. You know that FG QR. FG = QR = 2x – 4 12 16 = 2x 8 = x EXAMPLE 2 Use properties of congruent figures SOLUTION

  3. You know that∠ F Q. m F = mQ 68 = 6y + 8 68 o = (6y + x) o 10 = y EXAMPLE 2 Use properties of congruent figures

  4. PAINTING If you divide the wall into orange and blue sections along JK, will the sections of the wall be the same size and shape?Explain. From the diagram, A Cand D Bbecause all right angles are congruent. Also, by the Lines Perpendicular to a Transversal Theorem, AB DC. EXAMPLE 3 Show that figures are congruent SOLUTION

  5. The diagram shows AJ CK, KDJB, and DA BC. By the Reflexive Property, JK KJ. All corresponding parts are congruent, so AJKD CKJB. EXAMPLE 3 Show that figures are congruent Then, 1 4 and 2 3 by the Alternate Interior Angles Theorem. So, all pairs of corresponding angles are congruent.

  6. In the diagram at the right, ABGH CDEF. Identify all pairs of congruent corresponding parts. AB CD, BG DE, GH FE, HA FC A C, B D, G E, H F. for Examples 1, 2, and 3 GUIDED PRACTICE SOLUTION Corresponding sides: Corresponding angles:

  7. In the diagram at the right, ABGH CDEF. 2. Find the value ofxand findm H. (a) You know that H F (4x+ 5)° = 105° 4x = 100 x = 25 (b) You know that H F m H m F =105° for Examples 1, 2, and 3 GUIDED PRACTICE SOLUTION

  8. In the diagram at the right, ABGH CDEF. 3. Show thatPTS RTQ. SOLUTION All of the corresponding parts of PTS are congruent to those of RTQ by the indicated markings, the Vertical Angle Theorem and the Alternate Interior Angle theorem. for Examples 1, 2, and 3 GUIDED PRACTICE

More Related