Paularagland1984idn
Answered

Find answers to your questions faster and easier with IDNLearn.com. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

Prove that opposite angles of a parallelogram are congruent. Be sure to create and name the appropriate geometric figures. (10 points)

Sagot :

GinnyAnsweridn

Final answer:

Opposite angles of a parallelogram are congruent due to the properties of parallel lines and transversals, making them equal in measure.


Explanation:

Opposite angles of a parallelogram are congruent due to the properties of parallel lines and transversals. When a pair of parallel lines is intersected by a transversal, alternate interior angles are congruent. In the context of a parallelogram, this means that opposite angles are congruent.

To visualize this, consider a parallelogram ABCD where AB is parallel to CD and AD is parallel to BC. Angle A is congruent to angle C, and angle B is congruent to angle D, making opposite angles congruent.

Therefore, based on the geometric properties of parallelograms and parallel lines, it can be concluded that opposite angles of a parallelogram are congruent.


Learn more about Properties of Parallelograms here:

https://brainly.com/question/30919781


We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.