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The following is a simple way to divided any triangle into n^2 congruent triangles (n > 1):

- Divide each side of the triangle into n equal parts,
- Select a pair of lines and join pairs of the above division marks with lines which will be parallel to the third side.
- Repeat step 2 with the other two pair of lines.

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Q: How do you divide a triangle into congruent triangles?

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Any plane triangle can be divided into four congruent triangles. Find the midpoint of each side, and draw a line from each midpoint to the other two midpoints. Forgive the crude ASCII graphics: <pre> + |\ + + | \ +-+-+ original triangle + |\ +-+ |\ |\ +-+-+ divided triangle + |\ +-+ each congruent triangle </ref>

If the angles in each triangle are congruent

No isosceles triangle in the world is congruent to any equilateral triangle. No equilateral triangle in the world is congruent to any right triangle.

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1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent. 2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent. 3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent. 4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.

Any triangle can be congruent to infinitely many triangles.

Scalene Triangle- a triangle with no congruent sides Isosceles Triangle- a triangle with two congruent sides Equilateral Triangle- a triangle with three congruent sides

Isosceles Triangle Isosceles TriangleIsosceles triangles have at least 2 congruent sides, and equilateral triangles have all 3 sides equal. A scalene triangle has no congruent sides or angles. All triangles have 180 degrees total.An equilateral triangle has three congruent sides and an isosceles triangle has two congruent sides.

Some, but not all. Triangles with 2 congruent sides are called isoceles triangles. Triangles with 3 congruent sides are called equilateral triangles.

An Isosceles triangle has 2 equal sides. Scalene triangles have no congruent sides, and equilateral triangles have every side congruent.

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.

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