1 / 6

EXAMPLE 4

A (–3, 1) , B (–1, 3) , C (1, 3) , D (3, 1). m AOC = m BOD = 90°. EXAMPLE 4. Identify a rotation. Graph AB and CD . Tell whether CD is a rotation of AB about the origin. If so, give the angle and direction of rotation. This is a 90° clockwise rotation.

dudley
Download Presentation

EXAMPLE 4

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. A(–3, 1),B(–1, 3),C(1, 3),D(3, 1) mAOC = m BOD = 90° EXAMPLE 4 Identify a rotation Graph ABand CD.Tell whether CDis a rotation of ABabout the origin. If so, give the angle and direction of rotation. This is a 90° clockwise rotation.

  2. A(0, 1),B(1, 3),C(–1, 1),D(–3, 2) mAOC < mBOD EXAMPLE 4 Identify a rotation This is not a rotation.

  3. You can see that AC = DF = 3, so AC DF. S EXAMPLE 5 Verify congruence The vertices of ABCare A(4, 4), B(6, 6), and C(7, 4). The notation (x, y)→ (x + 1, y – 3) describes the translation of ABC to DEF. Show that ABC DEFto verify that the translation is a congruence SOLUTION

  4. S Using the Distance Formula, AB=DE=2 2 so AB DE. So, ABC DEFby the SAS Congruence Postulate. ANSWER Because ABC DEF, the translation is a congruence transformation. EXAMPLE 5 Verify congruence Using the slopes, AB DEand AC DF. If you extend ABand DFto form G, the Corresponding Angles Postulate gives you BAC Gand A GEDF. Then,BACEDFby the Transitive Property of Congruence.

  5. Tell whether PQRis a rotation of STR. If so, give the angle and direction of rotation. Yes, triangle PQRis a 180o counterclockwise rotation of STR. for Examples 4 and 5 GUIDED PRACTICE SOLUTION

  6. Show that PQR STRto verify that the transformation is a congruence transformation. Prove :PQR STR statement Reason PQ ST ByHL PQRSTR. So it is a congruence transformation PR SR for Examples 4 and 5 GUIDED PRACTICE SOLUTION (Given) (Given)

More Related