Question

write the negation of each statement.
statement\tnegation

1. △abc is an equilateral triangle.
2. ∠def and ∠klm are supplementary angles.
3. ∠jkl and ∠xyz are vertical angles.
4. m∠def + m∠klm = 125°

Explanation:

Step1: Understand negation concept

Negation changes the truth - value of a statement.

Step2: Negate statement 7

The negation of "△ABC is an equilateral triangle" is "△ABC is not an equilateral triangle".

Step3: Negate statement 8

The negation of "∠DEF and ∠KLM are supplementary angles" is "∠DEF and ∠KLM are not supplementary angles".

Step4: Negate statement 9

The negation of "∠JKL and ∠XYZ are vertical angles" is "∠JKL and ∠XYZ are not vertical angles".

Step5: Negate statement 10

The negation of "m∠DEF + m∠KLM = 125°" is "m∠DEF + m∠KLM ≠ 125°".

Answer:

1. △ABC is not an equilateral triangle.
2. ∠DEF and ∠KLM are not supplementary angles.
3. ∠JKL and ∠XYZ are not vertical angles.
4. m∠DEF + m∠KLM ≠ 125°