Practice Test

Question 2 • MASTER COURSE Geometry

Which pair of triangles can be proven congruent by the HL theorem?

Answer

Image with description Two separate right triangles are shown. In each triangle, the side opposite the right angle has double tick marks, and one side adjacent to the right angle has a single tick mark.

Image with description Two separate triangles are shown. In the left triangle, one side has a single tick mark, the opposite side has double tick marks, and the angle between the single-tick side and an unmarked side has an arc mark. In the right triangle, one side has a single tick mark, the opposite side has double tick marks, and the angle between the single-tick side and an unmarked side has an arc mark. No right-angle markers are shown.

Image with description Two separate triangles are shown with no right-angle markers. In the upper triangle, the left side has a single tick mark, the lower-right side has double tick marks, and the upper-right side has triple tick marks. In the lower triangle, the bottom side has a single tick mark, the right slanted side has double tick marks, and the left side has triple tick marks.

Image with description Two separate right triangles are shown. Each triangle has a right-angle marker, and the side opposite the right angle has a single tick mark. No other sides are marked.

Explanation

The HL theorem proves two right triangles congruent when their hypotenuses and one corresponding leg are congruent. Choice C marks both triangles as right triangles, their hypotenuses with double ticks, and one leg in each with single ticks. Choice A gives only the hypotenuses, while the other choices do not show the required right-triangle conditions.

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