In this blog we are going to tell you about Which of the following are right triangle congruence theorems, so read this blog carefully to get the complete information.
A. Hypotenuse-angle (HA)
B. Hypotenuse-leg (HL)
C. Leg-leg (LL)
D. Leg-angle (LA)
Answer: A- Hypotenuse-angle (HA), B- Hypotenuse-leg (HL), C- Leg-leg (LL) And D- Leg-angle (LA)
Answer Explanation:
As you may know, when we talk about right triangles, there are four theorems that prove congruence. So in the above-mentioned question, all four options are the four theorems of right triangles: hypotenuse angle, hypotenuse leg, leg-leg and leg angle theorem. The HA or hypotenuse angle theorem says that if the hypotenuse and an acute angle of one right triangle are congruent concerning the hypotenuse and an acute angle of another right angle triangle then the two triangles will be congruent. Similarly, the HL or hypotenuse leg theorem states that if any two right triangles have a congruent hypotenuse and corresponding congruent leg then they are congruent triangles. In addition to this, LL or leg-leg theorem says that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are congruent triangles. Lastly, the LA or leg acute theorem says that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle then both the triangles will be congruent.
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The final words
Two right angles triangles are said to be congruent when they are of the same shape and size. So here we have explained all four congruence theorems of a right angle. We hope you got your answer and now you have understood the concept of congruence and the congruence theorems of right triangles.
Conclusion
We Hope this blog is sufficient enough to provide the information about Which of the following are right triangle congruence theorems. Thanks for reading this blog.