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Equivalent Statements Determine which conditional statements would produce equivalent statements. 1. If LA is a right angle, then mLA = 90. 2. If the intersection of two figures is a line, then the figures are two distinct plane. 3. If LB is an acute angle, then mLB = 50 .

Equivalent Statements Determine which conditional statements would produce equivalent statements. 1. If LA is a right angle, then mLA = 90. 2. If the intersection of two figures is a line, then the figures are two distinct plane. 3. If LB is an acute angle, then mLB = 50 .

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Equivalent Statements Determine which conditional statements would produce equivalent statements. 1. If LA is a right angle, then mLA = 90. 2. If the intersection of two figures is a line, then the figures are two distinct plane. 3. If LB is an acute angle, then mzB = 50 . 4. If a number is prime, then the number is 2. 5. If LA and LB are not complementary, then MLA + mLB + 90. 6. If a figure is a polygon, then it is not a circle. 7. If a triangle is isosceles, then it has at least two sides congruent. 8. If a number is odd, then it is a prime number. 9. If two line segments have the same length, then they are congruent. 10. If a number ends in either 0 or 5, then it is divisible by 5. 11. If a triangle has at least two congruent sides, then it is an isosceles triangle. 12. If a segment is subtracted from two congruent segments, then the differences are congruent. 13. If two congruent angles are subtracted from two other congruent angles, then the differences are congruent. 14. If two angles are vertical angles, then they're congruent. 15. If two segments (or angles) are congruent, then their like divisions are congruent. 16. If two segments (or angles) are congruent to congruent segments (or angles), then they're congruent to each other.
Transcribed Image Text:Equivalent Statements Determine which conditional statements would produce equivalent statements. 1. If LA is a right angle, then mLA = 90. 2. If the intersection of two figures is a line, then the figures are two distinct plane. 3. If LB is an acute angle, then mzB = 50 . 4. If a number is prime, then the number is 2. 5. If LA and LB are not complementary, then MLA + mLB + 90. 6. If a figure is a polygon, then it is not a circle. 7. If a triangle is isosceles, then it has at least two sides congruent. 8. If a number is odd, then it is a prime number. 9. If two line segments have the same length, then they are congruent. 10. If a number ends in either 0 or 5, then it is divisible by 5. 11. If a triangle has at least two congruent sides, then it is an isosceles triangle. 12. If a segment is subtracted from two congruent segments, then the differences are congruent. 13. If two congruent angles are subtracted from two other congruent angles, then the differences are congruent. 14. If two angles are vertical angles, then they're congruent. 15. If two segments (or angles) are congruent, then their like divisions are congruent. 16. If two segments (or angles) are congruent to congruent segments (or angles), then they're congruent to each other.
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