Which of the following are congruence theorems for right triangles?Check all that apply.A.LAB.HHC.HAD.HLE.LLF.AASUBMITarrow_backPREVIOUS
Question
Which of the following are congruence theorems for right triangles?Check all that apply.A.LAB.HHC.HAD.HLE.LLF.AASUBMITarrow_backPREVIOUS
Solution
The congruence theorems for right triangles are:
A. LA (Leg-Angle) - This theorem states that if a leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.
B. HL (Hypotenuse-Leg) - This theorem states that if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.
C. LL (Leg-Leg) - This theorem states that if the legs of one right triangle are congruent to the corresponding legs of another right triangle, then the triangles are congruent.
D. HA (Hypotenuse-Angle) - This is not a valid congruence theorem for right triangles.
E. AASU (Angle-Angle-Side Unordered) - This is not a valid congruence theorem for right triangles.
F. HH - This is not a valid congruence theorem for right triangles.
G. LE - This is not a valid congruence theorem for right triangles.
So, the correct answers are A. LA, B. HL, and C. LL.
Similar Questions
Which of the following are right triangle congruence theorems?Check all that apply.A.Leg-leg (LL)B.Hypotenuse-angle (HA)C.Hypotenuse-leg (HL)D.Leg-angle (LA)SUBMITarrow_backPREVIOUS
The LL congruence theorem for right triangles is a special case of the _____.
In the congruence postulates (SSS, SAS, ASA, and AAS), three corresponding parts of two triangles are tested to determine if the triangles are congruent. These parts can include sides and angles. However, in the hypotenuse-leg (HL) theorem, only the hypotenuse and one leg of a right triangle are considered to determine congruence with another right triangle.Question 27Select one:TrueFalse
If any two sides and any angle are congruent in two triangles, then the triangles must be congruent.A.TrueB.False
The HL congruence theorem for right triangles is a special case of the _____.A.SAS postulateB.ASA postulateC.AAS theoremD.SSS postulate
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