Question

10
h i j k is definitely a parallelogram.
a. true
b. false

Explanation:

Step 1: Recall Parallelogram Properties

A parallelogram has opposite sides parallel and equal, and alternate interior angles equal when a transversal cuts parallel sides. Here, \( HI \parallel JK \) (arrows indicate parallel) and \( \angle IHK=\angle JKI \) (marked angles), so \( HK \) is a transversal, implying \( HI \parallel JK \) and \( HJ \parallel IK \) (by alternate interior angles, if \( \angle IHK = \angle JKI \), then \( HJ \parallel IK \)).

Step 2: Confirm Parallelogram

Since \( HI \parallel JK \) and \( HJ \parallel IK \) (from angle - transversal relation), the quadrilateral \( H I J K \) has both pairs of opposite sides parallel, so it is a parallelogram.

Answer:

A. True