The congruence theorems could be given as reasons for
ΔJOY ≅ ΔLIM are AAS, HA, ASA
The correct options are A, C and F
What is AAS theorem of triangle congruence?
"Two triangle are congruent if any two pair of angles and one pair of corresponding sides are equal."
What is LA theorem of triangle congruence?
"Two right triangles are congruent if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle."
What is LL theorem of triangle congruence?
"Two right triangles are congruent if the legs of one right triangle are congruent to the legs of another right triangle."
What is HA theorem of triangle congruence?
"Two right triangles are congruent if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle."
What is HL theorem of triangle congruence?
"Two right triangles are congruent if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle."
What is ASA theorem of triangle congruence?
"Two triangle are congruent if any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle."
For given question,
We have been two right triangles ΔJOY and ΔLIM.
For ΔJOY and ΔLIM,
Hypotenuse JO = LI
acute angles ∠O = ∠I
right angles ∠J = ∠L
acute angles ∠Y = ∠M
By HA theorem, ASA theorem, and AAS theorem of triangle congruence,
ΔJOY ≅ ΔLIM
Therefore, the congruence theorems could be given as reasons for
ΔJOY ≅ ΔLIM are AAS, HA, ASA
The correct options are A, C and F
Learn more about congruent triangles here:
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