Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain.
a. Yes; opposite sides are congruent.
b. Yes; opposite angles are congruent.
c. No; you cannot prove that the quadrilateral is a parallelogram.
d. Yes; two opposite sides are both parallel and congruent.
diagram: its a parallelogram, opposite sides and angles are congruent.
I drawn toward choice d because opposite sides and angle are congruent but answer key is not D its B.please help me why my answer D is incorrect.
If B is the answer then it must be because they marked the angles but not the sides.
B,
Because, opposite angles are congruent.
I hope na tama..
To prove that a quadrilateral is a parallelogram, we typically need to show that opposite sides are both parallel and congruent. However, in this scenario, we cannot conclude that two opposite sides are parallel based on the given information.
The diagram only provides the information that opposite sides and angles are congruent. While this is a property of parallelograms, it does not guarantee that the sides are also parallel. To prove that two sides are parallel, we would need additional information such as the presence of a pair of parallel lines or given angles.
Option B, "Yes; opposite angles are congruent," is the correct choice because it states a property of parallelograms. In a parallelogram, opposite angles are always congruent. Therefore, based on the given information of congruent opposite angles, we can conclude that the figure is a parallelogram.