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In the figure, ABCD = EFGH. Identify all pairs of congruent corresponding parts. Then write another congruence statement for the polygons.

In the figure, ABCD = EFGH. Identify all pairs of congruent corresponding parts. Then write another congruence statement for the polygons.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. In the figure, ABCD = EFGH. Identify all pairs of congruent corresponding parts. Then write another congruence statement for the polygons. G B 2. In the figure, ALMN = ARST. Find the values of x and y. M 43 93 63° 'N. Зх + у 3x 3. Show that the two quadrilaterals are congruent. M P 4. Find mZT. Explain your reasoning. 41° B- | 74° 5. The congruence statements AABC = ADEF, AABC = AEFD, and AABC = AFDE are all valid. What must be true about AABC and ADEF?
Transcribed Image Text:1. In the figure, ABCD = EFGH. Identify all pairs of congruent corresponding parts. Then write another congruence statement for the polygons. G B 2. In the figure, ALMN = ARST. Find the values of x and y. M 43 93 63° 'N. Зх + у 3x 3. Show that the two quadrilaterals are congruent. M P 4. Find mZT. Explain your reasoning. 41° B- | 74° 5. The congruence statements AABC = ADEF, AABC = AEFD, and AABC = AFDE are all valid. What must be true about AABC and ADEF?
Monitoring Progress and Modeling with Mathematics In Exercises 3 and 4, identify all pairs of congruent corresponding parts. Then write another congruence statement for the polygons. (See Example 1.) 10. ΔΜNPΔΤUS N. (2x – 50)° (2x - y) m 3. AABC = ADEF 13 m 142 M 24° In Exercises 11 and 12, show that the polygons are congruent. Explain your reasoning. (See Example 3.) 4. GHJK= QRST H 11. K M Y In Exercises 5-8, AXYZ = AMNL. Copy and complete the statement. 12. X Y 5. mZY = 12 N 124 6. mZM = 33 7. m2Z = M In Exercises 13 and 14, find m/1. (See Example 4.) 8. XY = 13. L M Y 70 In Exercises 9 and 10, find the values of x and y. (See Example 2.) 9. ABCD = EFGH AV E 14. B (4y – 4). 80 (10x + 65)° 45 B F R 135 D H G 28
Transcribed Image Text:Monitoring Progress and Modeling with Mathematics In Exercises 3 and 4, identify all pairs of congruent corresponding parts. Then write another congruence statement for the polygons. (See Example 1.) 10. ΔΜNPΔΤUS N. (2x – 50)° (2x - y) m 3. AABC = ADEF 13 m 142 M 24° In Exercises 11 and 12, show that the polygons are congruent. Explain your reasoning. (See Example 3.) 4. GHJK= QRST H 11. K M Y In Exercises 5-8, AXYZ = AMNL. Copy and complete the statement. 12. X Y 5. mZY = 12 N 124 6. mZM = 33 7. m2Z = M In Exercises 13 and 14, find m/1. (See Example 4.) 8. XY = 13. L M Y 70 In Exercises 9 and 10, find the values of x and y. (See Example 2.) 9. ABCD = EFGH AV E 14. B (4y – 4). 80 (10x + 65)° 45 B F R 135 D H G 28
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