Thank you for visiting Which of the following are true of the parallelogram A Opposite sides are congruent B Opposite angles are congruent C Consecutive angles are complementary D. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The true properties of a parallelogram are that a. opposite sides are congruent, b. opposite angles are congruent, and its d. diagonals bisect each other. Consecutive angles being complimentary and diagonals forming 2 congruent triangles are generally not true.
Explanation:
The question is about understanding the properties of a parallelogram. Among the options given:
- a. Opposite sides are congruent - This is true; opposite sides of a parallelogram are always the same length.
- b. Opposite angles are congruent - This is also true; opposite angles in a parallelogram are equal in measure.
- c. Consecutive angles are complementary - This is false; consecutive angles in a parallelogram are supplementary (they add up to 180°).
- d. Diagonals bisect each other - This is true; the diagonals of a parallelogram intersect each other at their midpoints, dividing each other into two equal parts.
- e. Diagonals form 2 congruent triangles - This statement is generally false. While the diagonals do bisect each other and form four triangles, these triangles are not necessarily congruent unless the parallelogram is a rectangle or a rhombus.
It's important to note that for a standard parallelogram, options a, b, and d are correct properties.
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