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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.

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Warm Up Find the measure of the indicated angle.

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  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.

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