ACTIVITY 3. (Use a separate sheet of paper for your answers) Determine whether the following is a CONVERSE, INVERSE or CONTRAPOSITIVE OF A GIVEN IF-THEN STATEMENT. 1. If-then Statement: If a shape is a square, then it has four sides. GIVEN: If a shape is not a square, then it does not have four sides. 2. If-then Statement: If x-4 = 10, then x = 14. GIVEN: If x = 14, then x-4 = 10. 3. If-then Statement: If a triangle has two congruent sides, then it is not a scalene. GIVEN: If a triangle is a scalene, then it doesn't have two congruent sides. 4. If-then Statement: If 2 A = 90°, then 2 A is a right angle. GIVEN: If Z A + 90°, then 2 A is not a right angle.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Problem 6CT: Name the type of reasoning used in the following scenario. While shopping for a new television,...
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PLEASE ANSWER ALL THE ITEMS GIVEN. THIS IS NOT A WRITING ASSIGNMENT

ACTIVITY 3. (Use a separate sheet of paper for your answers)
Determine whether the following is a CONVERSE, INVERSE or CONTRAPOSITIVE OF A GIVEN IF-THEN
STATEMENT.
1. If-then Statement: If a shape is a square, then it has four sides.
GIVEN: If a shape is not a square, then it does not have four sides.
2.
If-then Statement If x- 4 = 10, then x = 14.
GIVEN: If x = 14, then x – 4 = 10.
3.
If-then Statement If a triangle has two congruent sides, then it is not a scalene.
GIVEN: If a triangle is a scalene, then it doesn't have two congruent sides.
4.
If-then Statement: If Z A = 90°, then z A is a right angle.
GIVEN: If 2 A 90°,, then 2 A is not a right angle.
Transcribed Image Text:ACTIVITY 3. (Use a separate sheet of paper for your answers) Determine whether the following is a CONVERSE, INVERSE or CONTRAPOSITIVE OF A GIVEN IF-THEN STATEMENT. 1. If-then Statement: If a shape is a square, then it has four sides. GIVEN: If a shape is not a square, then it does not have four sides. 2. If-then Statement If x- 4 = 10, then x = 14. GIVEN: If x = 14, then x – 4 = 10. 3. If-then Statement If a triangle has two congruent sides, then it is not a scalene. GIVEN: If a triangle is a scalene, then it doesn't have two congruent sides. 4. If-then Statement: If Z A = 90°, then z A is a right angle. GIVEN: If 2 A 90°,, then 2 A is not a right angle.
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