The following is an incomplete paragraph proving that the opposite angles of parallelogram abcd are congruent: according to the given information, segment ab is parallel to segment dc and segment bc is parallel to segment ad.. using a straightedge, extend segment ab and place point p above point b. by the same reasoning, extend segment ad and place point t to the left of point a. angles bcd and pbc are congruent by the alternate interior angles theorem. angles pbc and bad are congruent by the by the transitive property of equality, angles bcd and bad are congruent. angles abc and bat are congruent by the angles bat and cda are congruent by the corresponding angles theorem. by the transitive property of equality, ∠abc is congruent to ∠cda. consequently, opposite angles of parallelogram abcd are congruent. what theorems accurately complete the proof? a) corresponding angles theorem      alternate interior angles theoremb) alternate interior angles theorem    corresponding angles theoremc) corresponding angles theorem      corresponding angles theoremd) alternate interior angles theorem      alternate interior angles theorem

For a better understanding of the answer to the question provided here kindly check the diagram that has been attached here.

The attached diagram has the complete construction details as has been asked to do in the question.

Let us now begin answering.

As can be clearly seen from the attached diagram angles PBC and BAD are congruent by the Corresponding Angles Theorem AB acts as the transversal for the lines BC and AD which are parallel.

Also, it can be clearly seen that the angles ABC and BAT are congruent by the Alternate Interior Angles Theorem as AB acts as the transversal for the lines BC and TAD which are parallel.

Thus, the only option from the given list of options which matches the answer is Option A.

Thus, Option A is the correct option and thus the final answer.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

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step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or