1 / 14

Warm Up Find the measure of the indicated angle.

Warm Up Find the measure of the indicated angle. 1 . the supplement of a 35° angle. 145°. 2 . the third angle of a right triangle with an angle of 60°. 30°. 55°. 3 . the fourth angle in a quadrilateral containing angles of 100°, 130°, and 75°. Vocabulary. correspondence congruent.

donal
Download Presentation

Warm Up Find the measure of the indicated angle.

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. Warm Up Find the measure of the indicated angle. 1. the supplement of a 35° angle 145° 2. the third angle of a right triangle with an angle of 60° 30° 55° 3. the fourth angle in a quadrilateral containing angles of 100°, 130°, and 75°

  2. Vocabulary correspondence congruent

  3. A correspondence is a way of matching up two sets of objects. Congruentfigures have the same shape and size.If two polygons are congruent, all of their corresponding sides and angles are congruent. To write a congruence statement, the vertices in the second polygon have to be written in order of correspondence with the first polygon.

  4. 55 55 Additional Example 1: Writing Congruent Statements A. Write a congruence statement for each pair of polygons. A corresponds to Q. AQ B corresponds to R. BR C corresponds to P.CP The congruence statement is triangle ABC triangle QRP.

  5. Additional Example 1: Writing Congruent Statements B. Write a congruence statement for each pair of polygons. The vertices in the first pentagon are written in order around the pentagon starting at any vertex. D corresponds to M. DM E corresponds to N. EN F corresponds to O. FO G corresponds to P. GP H corresponds to Q. HQ The congruence statement is pentagon DEFGHMNOPQ.

  6. Partner Share! Example 1 A. Write a congruence statement for each pair of polygons. A B | A corresponds to S. AS 60° 60° || |||| B corresponds to T. BT 120° 120° ||| D C C corresponds to Q. CQ Q R D corresponds to R. DR ||| 120° 120° || |||| The congruence statement is trapezoid ABCD trapezoid STQR. 60° 60° | T S

  7. Warm Up Find the corresponding sides and angles.

  8. WX  KL a + 8 = 24 –8 –8 a = 16 In the figure, quadrilateral VWXY quadrilateral JKLM. A. Find a. Subtract 8 from both sides.

  9. ML  YX 6b = 30 6b = 30 6 6 In the figure, quadrilateral VWXY quadrilateral JKLM. B. Find b. Divide both sides by 6. b = 5

  10. J V 5c = 85 5c = 85 5 5 In the figure, quadrilateral VWXY quadrilateral JKLM. C. Find c. Divide both sides by 5. c = 17

  11. 3a = 6 IH  RS 3a = 6 3 3 In the figure, quadrilateral JIHK quadrilateral QRST. A. Find a. Divide both sides by 3. a = 2

  12. H S 4b = 120 4b = 120 4 4 In the figure, quadrilateral JIHK quadrilateral QRST. B. Find b. Divide both sides by 4. b = 30 3a I H 6 4b° S R 120° J Q K c + 10° T

  13. K T c + 10 = 30 c + 10 = 30 –10 –10 In the figure, quadrilateral JIHK quadrilateral QRST. C. Find c. Subtract 10 from both sides. c = 20 3a I H 6 90° 4b° S R 120° 90° J 30° c + 10° Q K T

  14. Lesson Review 90° 1. The figures above are congruent. Write a congruence statement. WXYZ  ABCD 10 80° 3. Find mB. 2. Find XY. 8 4. Find CD. 90° 5. Find mD.

More Related