Main Idea/Vocabulary congruent polygon Identify congruent polygons.

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Presentation transcript:

Main Idea/Vocabulary congruent polygon Identify congruent polygons.

KC 1

Example 1 Identify Congruent Polygons Determine whether the trapezoids shown are congruent. If so, name the corresponding parts and write a congruence statement.

Example 1 Identify Congruent Polygons Answer: Since all pairs of corresponding angles and sides are congruent, the two trapezoids are congruent. One congruence statement is trapezoid EFGH  trapezoid QRST.

1.A 2.B 3.C 4.D Example 1 If the triangles shown are congruent, which of the following statements is false. A.B. C.D.

Example 2 Find Missing Measures Answer: Since m  H = 35°, m  S = 35°. According to the congruence statement,  H and  S are corresponding angles. So,

1.A 2.B 3.C 4.D Example 2 A.50°B. 55° C. 70°D. 75° In the figure,

Example 3 Find Missing Measures Answer: Since FG = 6 centimeters, QR = 6 centimeters. In the figure,

1.A 2.B 3.C 4.D Example 3 A.3 in.B.4 in. C.5 in.D.6 in. In the figures,

1.A 2.B 3.C 4.D Five Minute Check 1 A.720° B.540° C.900° D.1080° Find the sum of the interior angle measures of a hexagon. (over Lesson 6-3)

1.A 2.B 3.C 4.D Five Minute Check 2 A.900° B.1080° C.1260° D.1620° Find the sum of the interior angle measures of a nonagon. (over Lesson 6-3)

1.A 2.B 3.C 4.D Five Minute Check 3 A.135° B.270° C.540° D.1080° Find the measure of one interior angle in a regular octagon. Round to the nearest tenth if necessary. (over Lesson 6-3)

1.A 2.B 3.C 4.D Five Minute Check 4 A.308.6° B.154.3° C.1080° D.2160° Find the measure of one interior angle in a regular 14-gon. Round to the nearest tenth is necessary. (over Lesson 6-3)

1.A 2.B 3.C 4.D Five Minute Check 5 A.86.8° B.9720° C ° D.173.6° Find the measure of one interior angle in a regular 56-gon. Round to the nearest tenth if necessary. (over Lesson 6-3)

1.A 2.B 3.C 4.D Five Minute Check 6 The following statements are true about triangle XYZ. (over Lesson 6-3) What are the angle measures of triangle XYZ? A.B. C.D.

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