Question

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Look at the diagram shown.



A shape that has four sides is shown. It is a trapezoid. The trapezoid has vertices starting at the upper left labeled H, I, J, and K. Sides H I and K J are parallel. Sides H K and I J are not parallel.

Which of the following statements best describe the figure?

Select all that apply.
Click or tap each correct answer.

∠H and ∠I are obtuse angles.

∠K and ∠J are acute angles.

HI
and
JK
are perpendicular line segments.

IJ
and
HK
are parallel line segments.

HI
and
JK
are parallel line segments.

Answer 1

Correct choices:
- ∠H and ∠I are obtuse angles.
- ∠K and ∠J are acute angles.
- HI and JK are parallel line segments.

Reason: The diagram shows HI and KJ as the two parallel bases of the trapezoid, so HI ∥ KJ. The slanted legs make the top interior angles (H and I) obtuse and the bottom interior angles (K and J) acute. IJ and HK are not parallel, and parallel segments cannot be perpendicular, so the other choices are false.