HL Triangle Congruence

Is triangle ABC congruent to DEF?

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​Ask yourself three questions:

​1. Do you have a right triangle?

​2. Is the hypotenuse (The side across from the right angle) of the two triangles congruent?

​3. Is one leg (the sides that touch the right angle) of the two triangles cogruent?

Are these two triangles congruent?

Ask yourself:

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1. Is at least one leg of each triangle congruent to each other?​

2. Are the two hypotenuses congruent to each other? ​

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Don't forget about:

Reflexive Property of Congruence

​Whenever two triangles share a side, instantly think of Reflexive Property of Congruence!

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​And separate the triangles!

​CA is congruent to CA by the Reflexive Property of Congruence

Are these two triangles congruent?

​Separate the triangles!

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Then ask yourself:

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1. Is at least one leg of each triangle congruent to each other?​

2. Are the two hypotenuses congruent to each other? ​

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If we have two lines intersecting to form a right angle (90 degrees)....

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Then the angle adjacent to it is also a right angle (90 degrees).

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​Angle ANB!

Why?

1. Do we have two lines intersecting to form 1 right angle?

2. Do we have another angle right next to the right angle?​

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Is there any other right angles?

Ask yourself:

1. Do we have two lines intersecting to form 1 right angle?

2. Do we have another angle right next to the right angle?​

Are these two triangles congruent?

Ask yourself:

1. Does each triangle have one right angle?

2. Is at least one leg of each triangle congruent to each other?​

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