Figuring out when triangles are the same can be tricky because of the different rules we need to use. Here are the main ones:
SSS - This stands for Side-Side-Side. It means if all three sides of one triangle are the same length as all three sides of another triangle, they are congruent.
SAS - This stands for Side-Angle-Side. It means if two sides and the angle between them in one triangle are the same as in another triangle, they are congruent.
ASA - This stands for Angle-Side-Angle. It means if two angles and the side between them in one triangle match two angles and the same side in another triangle, they are congruent.
AAS - This stands for Angle-Angle-Side. It means if two angles and a side that is not between them in one triangle are the same as in another triangle, they are congruent.
HL - This stands for Hypotenuse-Leg. This rule is for right triangles. It means if the longest side (hypotenuse) and one leg of one right triangle are the same as in another right triangle, they are congruent.
These rules can be confusing, especially if you mix up the sides or angles.
But don't worry! With some practice, you'll get better at spotting congruent triangles. Just take your time to look carefully at the information given and use the right rule.
Figuring out when triangles are the same can be tricky because of the different rules we need to use. Here are the main ones:
SSS - This stands for Side-Side-Side. It means if all three sides of one triangle are the same length as all three sides of another triangle, they are congruent.
SAS - This stands for Side-Angle-Side. It means if two sides and the angle between them in one triangle are the same as in another triangle, they are congruent.
ASA - This stands for Angle-Side-Angle. It means if two angles and the side between them in one triangle match two angles and the same side in another triangle, they are congruent.
AAS - This stands for Angle-Angle-Side. It means if two angles and a side that is not between them in one triangle are the same as in another triangle, they are congruent.
HL - This stands for Hypotenuse-Leg. This rule is for right triangles. It means if the longest side (hypotenuse) and one leg of one right triangle are the same as in another right triangle, they are congruent.
These rules can be confusing, especially if you mix up the sides or angles.
But don't worry! With some practice, you'll get better at spotting congruent triangles. Just take your time to look carefully at the information given and use the right rule.