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If the 3 sides are proportional by ratio and the angles remain the same then the two triangles are similar

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Q: If two sides of one triangle are proportional to two sides of a second triangle and the included angles of those sides are congruent then are the triangles similar?
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Related questions

What is Angle Side Angle?

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.


If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle then the two triangles are congruent This is known as what?

SAS


What is Side Angle Side?

If two sides and the included angle of one of one of the triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.


What is the SAS postulate?

The SAS Postulate states if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.


What is the triangle equality theorem?

Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.


What is the angle-angle-side rule?

Side-Angle-Side is a rule used in geometry to prove triangles congruent. The rule states that if two sides and the included angle are congruent to two sides and the included angle of a second triangle, the two triangles are congruent. An included angle is an angle created by two sides of a triangle.


What must be shown to be congruent in order to say that the triangles are congruent by SAS?

Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.


What is asa postulate?

The Angle Side Angle postulate( ASA) states that if two angles and the included angle of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.


what- Complete the Angle-Side-Angle Congruence Postulate. The same words go in each blank.If _____ and the included side of one triangle are congruent to _____ and the included side of another triangle, then the triangles are congruent?

two angles


Are triangles congruent if so how do you know?

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.


What is the definition for angle side angle?

In the context of congruent triangle theorems, it means that a pair of angles in corresponding locations in two triangles, and the sides that are included between them, are congruent. That being the case, the two triangles are congruent.


If two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another then the triangles are congruent?

Yes, they are.