Thank you for visiting Can the HL congruence theorem be used to show that the triangles are congruent Explain your reason A Yes because the triangles have equal angles. 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 HL congruence theorem can be applied to right triangles to show congruence if the triangles have one congruent leg and a congruent hypotenuse. Hence, the correct answer is C) Yes, because the triangles have equal sides and one congruent angle, with the assumption that the angle is the right angle and the sides include the hypotenuse.
Explanation:
The HL (Hypotenuse-Leg) congruence theorem can be used to show that two right triangles are congruent if they have a congruent hypotenuse and one congruent leg. In the options provided, the correct one that applies to the use of the HL congruence theorem is C) Yes, because the triangles have equal sides and one congruent angle, assuming that the angle referred to is the right angle and the sides are the hypotenuse and one leg of the triangles.
For example, suppose we have two right-angled triangles, ABC and DEF, such that AC and DF are the hypotenuses and BC and EF are the legs. If AC = DF and BC = EF, then by the HL congruence theorem, the triangles ABC and DEF would be congruent, which means they have the same shape and size.
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Thank you for reading the article Can the HL congruence theorem be used to show that the triangles are congruent Explain your reason A Yes because the triangles have equal angles. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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