Question

Which answers are examples of the Law of Detachment? select all that occur If two angles are vertical angles, then they have the same measure. Angle A and angle B are vertical angles. So, the measure of angle A is equal to the measure of angle B. If an object is a square, then it is a rhombus. If it is a rhombus, then it is a quadrilateral. Therefore, if an object is a square, then it is a quadrilateral. Jonathan’s cars are all white. Sarah is driving one of Jonathan’s cars. Therefore, Sarah is driving a white car. If it snows tomorrow, then my dentist appointment will be canceled. If my dentist appointment is canceled, then I will clean under my bed. Therefore, if it snows tomorrow, then I will clean under my bed.

Answer 1

If two angles are vertical angles, then they have the same measure. Angle A and angle B are vertical angles. So, the measure of angle A is equal to the measure of angle B.

Explanation:

I gotchu

Answer 2

The law of detachment is a set of three sentences, such that:

Sentence 1 is a statement of the form If p, then q

Sentence 2 is a statement of the form p

Sentence 3 is a conclusion of the form q

Let's see which of the options follow the pattern indicated above:

Option A: If an object is a square, it is a parallelogram. The object is a square. The object is a parallelogram. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.

Option B: If two angles are linear pairs, the angles are supplementary. The two angles are linear pairs. Therefore, the angles are supplementary. - DOES NOT MATCH THE ABOVE PATTERN.

Option C: If it is snowing, the play will be cancelled. If the play is cancelled, the theater will refund the cost of admission. Therefore, if it is snowing, the theater will refund the cost of admission to the play. - DOES NOT MATCH THE ABOVE PATTERN.

Option D: If it is snowing, the play will be cancelled. It is snowing. Therefore, the play is cancelled. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.

Hence, option A and option D are examples of the Law of Detachment.