What does this mean? 1  Since two angles and the included side are equal in both triangles, we can be sure the triangles are congruent. 2  Because the triangles are congruent, the third angles (R and N) are also equal.  Because the triangles are congruent, the remaining two sides are equal (PR=LN, and QR=MN)
http://www.mathopenref.com/congruentasa.html
Solving ASA Triangles. ASA means Angle, Side, Angle. ASA is when we know two angles and a side between the angles. To solve an ASA Triangle. 1  find the third angle using the three angles add to 180°.  then use The Law of Sines to find each of the other two sides.
https://www.mathsisfun.com/algebra/trig-solving-asa-triangles.html
Now we have two angles and a side! So we can say that triangle MNQ is congruent to triangle POQ because of the AAS theorem. And therefore, MN is congruent to OP because corresponding parts of congruent triangles are congruent, or CPCTC.
http://study.com/academy/lesson/the-aas-theorem.html
Congruent Triangles - Two angles and an opposite side (AAS) Definition: Triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles. There are five ways to test that two triangles are congruent. This is one of them (AAS). For a list see Congruent Triangles. If there are two pairs of corresponding angles and a pair of corresponding opposite sides that are equal in measure, then the triangles are congruent. By opposite side we mean a side opposite either one of the angles. Either one will do, but it has to be the same one in both triangles obviously.
http://www.mathopenref.com/congruentaas.html
Video: The AAS (Angle-Angle-Side) Theorem: Proof and Examples. When trying to find out if triangles are congruent, it's helpful to have as many tools as possible. In this lesson, we'll add to our congruence toolbox by learning about the AAS theorem, or angle-angle-side.
http://study.com/academy/lesson/the-aas-theorem.html
Here, we learned about the angle-angle-side theorem, or AAS. This theorem states that if two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent. This theorem is an adaptation of angle-side-angle, or ASA.
http://study.com/academy/lesson/the-aas-theorem.html
The angle-angle-side Theorem, or AAS, tells us that if two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.
http://study.com/academy/lesson/the-aas-theorem.html
1 Since two angles and the included side are equal in both triangles, we can be sure the triangles are congruent. 2  Because the triangles are congruent, the third angles (R and N) are also equal.  Because the triangles are congruent, the remaining two sides are equal (PR=LN, and QR=MN)
http://www.mathopenref.com/congruentasa.html
In a right triangle, the side opposite the right angle is called the hypotenuse. If you take the length of side of the triangle opposite a particular angle divided by the length of the hypotenuse, this ratio is called the sine of that angle (abbreviated sin).
http://study.com/academy/lesson/side-angle-side-sas-triangle-definition-theorem-formula.html
Congruent Triangles - Two angles and included side (ASA) Definition: Triangles are congruent if any two angles and their included side are equal in both triangles. There are five ways to test that two triangles are congruent. This is one of them (ASA). For a list see Congruent Triangles. If any two angles and the included side are the same in both triangles, then the triangles are congruent. Try this Drag any orange dot at P,Q,R. The other triangle LMN will change to remain congruent to the triangle PQR.
http://www.mathopenref.com/congruentasa.html
angle angle side definition
The triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles. This is called Angle Angle Side. 