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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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Divide a triangle into four congruent triangles?
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>
Does a median divide a triangle into two congruent triangles?
Yes * * * * * No. A median is a line from a vertex to the midpoint of the opposite side. It divides the triangle into congruent parts only if the triangle is equilateral or if the triangle is isosceles and it is the median from the unequal vertex. In all other cases the two parts will not be congruent.
What two triangles which are not 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.
If the hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of another triangle are the triangles congruent?
yes
How do you describe triangles by the sides?
Scalene Triangle- a triangle with no congruent sides Isosceles Triangle- a triangle with two congruent sides Equilateral Triangle- a triangle with three congruent sides
Divide a triangle into four congruent triangles?
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>
How can you say that triangles are congruent?
If the angles in each triangle are congruent
What are right triangle congruence theorem?
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.
Does a median divide a triangle into two congruent triangles?
Yes * * * * * No. A median is a line from a vertex to the midpoint of the opposite side. It divides the triangle into congruent parts only if the triangle is equilateral or if the triangle is isosceles and it is the median from the unequal vertex. In all other cases the two parts will not be congruent.
What triangle has at least two 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.
What two triangles which are not 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.
What are the four congruence theorems for a right triangle?
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.
If the hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of another triangle are the triangles congruent?
yes
Does a triangle have 2 congruent sides?
Some, but not all. Triangles with 2 congruent sides are called isoceles triangles. Triangles with 3 congruent sides are called equilateral triangles.
How do you describe triangles by the sides?
Scalene Triangle- a triangle with no congruent sides Isosceles Triangle- a triangle with two congruent sides Equilateral Triangle- a triangle with three congruent sides
What is the name of a triangle with atleast two sides congruent?
An Isosceles triangle has 2 equal sides. Scalene triangles have no congruent sides, and equilateral triangles have every side congruent.
What are the four congruence theorem for right triangle?
four types aressssasrhsasa1.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.
