specifically the very same three sides and specifically the same three angles.

But us don"t need to know all 3 sides and all 3 angles ...usually three out of the six is enough.

There are five ways to discover if two triangles are congruent: SSS, SAS, ASA, AAS and HL.

You are watching: If two angles of one triangle are congruent to two angles of another triangle

1. SSS (side, side, side)

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SSS means "side, side, side" and means that we have two triangles through all three sides equal.

For example:

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is congruent to:
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(See resolving SSS triangles to uncover out more)


If 3 sides that one triangle are equal to 3 sides of another triangle, the triangles room congruent.


2. SAS (side, angle, side)

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SAS stands for "side, angle, side" and means that we have actually two triangles wherein we understand two sides and also the included angle room equal.

For example:

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is congruent to:
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(See resolving SAS triangles to find out more)


If two sides and also the contained angle the one triangle are equal come the corresponding sides and angle of another triangle, the triangles room congruent.


3. ASA (angle, side, angle)

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ASA stands for "angle, side, angle" and way that we have actually two triangles whereby we know two angles and also the included side room equal.

For example:

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is congruent to:
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(See addressing ASA triangles to find out more)


If two angles and the consisted of side the one triangle room equal come the corresponding angles and side of another triangle, the triangles are congruent.


4. AAS (angle, angle, side)

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AAS means "angle, angle, side" and way that we have actually two triangles wherein we understand two angles and the non-included side space equal.

For example:

*
is congruent to:
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(See addressing AAS triangle to find out more)


If 2 angles and the non-included side of one triangle space equal come the corresponding angles and also side of an additional triangle, the triangles are congruent.


5. HL (hypotenuse, leg)

This one applies only to best angled-triangles!

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or
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HL stands for "Hypotenuse, Leg" (the longest next of a right-angled triangle is referred to as the "hypotenuse", the other two sides are referred to as "legs")

It way we have actually two right-angled triangle with

the same size of hypotenuse and also the same length for one of the various other two legs.

It doesn"t issue which leg due to the fact that the triangles could be rotated.

For example:

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is congruent to:
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(See Pythagoras" theorem to uncover out more)


If the hypotenuse and one leg of one right-angled triangle are equal to the equivalent hypotenuse and also leg of an additional right-angled triangle, the two triangles space congruent.


Caution! Don"t usage "AAA"

AAA method we are offered all three angles that a triangle, yet no sides.

See more: Math Word That Starts With J ⭐ Jump, Joule, Joint Probablility

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This is not sufficient information to decision if two triangles are congruent!

Because the triangles can have the very same angles however be different sizes:

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is not congruent to:
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Without understanding at the very least one side, we can"t be certain if two triangles room congruent.


Congruent Congruent Triangles similar Similar triangles Finding comparable Triangles Trigonometry table of contents