I. Construct the converse, inverse and contrapositive of the conditional statement, and identify which of the statements are equivalent. (Refer to Example 3) 1. If a quadrilateral is a rhombus, then it has two pairs of parallel sides. 2. If a triangle is equilateral, then it is isosceles. II. For questions 3-5, write an equivalent statement. 3. If a polygon is regular, then all its angles are congruent.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.2: Indirect Proof
Problem 12E: Which of the following statements would you prove by the indirect method? a If ACAB in ABC, then...
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I. Construct the converse, inverse and contrapositive of the conditional statement, and identify which of the statements are equivalent.


(Refer to Example 3)

1. If a quadrilateral is a rhombus, then it has two pairs of parallel sides.
2. If a triangle is equilateral, then it is isosceles.

II. For questions 3-5, write an equivalent statement.

3. If a polygon is regular, then all its angles are congruent.

4. If a shape is not a quadrilateral, then it is not a kite.

5. If you are seventeen years old, then you are eligible to drive.

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