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These 5 conditions are: - SSS (side, side, side) - SAS (side, angle, side) - ASA (angle, side, angle) - AAS (angle, angle, side) - HL (hypotenuse, leg) Congruent triangles are not to be confused with similar triangles (triangles that scale in size relative to each other) Music by Adrian von Ziegler.
Two triangles are congruent if they have: exactly the same three sides and.There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL. SSS (side, side, side) SAS (side, angle, side) ASA (angle, side, angle) AAS (angle, angle, side) HL (hypotenuse, leg)
For right triangles, however, SSA can be a special case. This is where the HL theorem comes in. Because the hypotenuse and legs are each sides of a triangle, and the right angle is an angle of the triangle, in this special case, HL is an example of SSA that actually does show congruence.
So we know that two triangles are congruent if all of their sides are the same-- so side, side, side. We also know they are congruent if we have a side and then an angle between the sides and then another side that is congruent-- so side, angle, side.
0:14 3:17 How to Determine the Missing Values with Congruent Triangles - YouTube YouTube Start of suggested clip End of suggested clip Parts every angle is equal to the other angle corresponding angle and every side measure is equal toMoreParts every angle is equal to the other angle corresponding angle and every side measure is equal to the corresponding side measure.
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In particular, he has been credited with proving the following five theorems: (1) a circle is bisected by any diameter; (2) the base angles of an isosceles triangle are equal; (3) the opposite (vertical) angles formed by the intersection of two lines are equal; (4) two triangles are congruent (of equal shape and size
These 5 conditions are: - SSS (side, side, side) - SAS (side, angle, side) - ASA (angle, side, angle) - AAS (angle, angle, side) - HL (hypotenuse, leg) Congruent triangles are not to be confused with similar triangles (triangles that scale in size relative to each other) Music by Adrian von Ziegler.
These 5 conditions are: - SSS (side, side, side) - SAS (side, angle, side) - ASA (angle, side, angle) - AAS (angle, angle, side) - HL (hypotenuse, leg) Congruent triangles are not to be confused with similar triangles (triangles that scale in size relative to each other) Music by Adrian von Ziegler.
Exactly the same three angles. SSS stands for side, side, side and means that we have two triangles with all three sides equal. If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
For right triangles, however, SSA can be a special case. This is where the HL theorem comes in. Because the hypotenuse and legs are each sides of a triangle, and the right angle is an angle of the triangle, in this special case, HL is an example of SSA that actually does show congruence.

triangle congruence worksheet with answer key