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