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Two triangles are congruent if the six elements of one triangle (three sides and three angles) are equal to the six elements of the second triangle and the two triangles have a scale factor of 1.
However, in four special cases it is only necessary to match three elements to prove that two triangles are congruent. The matching of four elements is sometimes necessary, and the matching of five elements would put the matter beyond any doubt.
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In two triangles have a congruent angle and two congruent angle and two congruent sides then the triangles are guaranteed to be congruent?
Yes, if two triangles have two congruent angles and two congruent sides then the triangles are guaranteed to be congruent. They only need two angles and one side congruent or two sides and one angle in order to be congruent.
How can proving two triangles congruent can help prove parts of the triangle congruent?
When you prove a triangle is congruent to another, it can help you prove parts of the triangle congruent by checking the ratio between all sides and angles. Thank you for asking
If two lines are cut by a transversal are the corresponding angles congruent?
No. Angles are not congruent. (Triangles may be congruent.)
Which are congruence theorems for right triangles?
If the hypotenuse and a leg of two right triangles are the same measure, the triangles are congruent
In a parallelogram a diagonal separates the parallelogram into?
two congruent triangles
If two triangles have three pairs of congruent angles then are the triangles guaranteed to be congruent?
false
If two triangles have three pairs of congruent angles, then the triangles are guaranteed to be congruent?
false
If two triangles have three pairs of congruent angles then the triangles are not guaranteed to be congruent?
Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.
What is c.p.c.t?
Corresponding Parts of Congruent Triangles is the full form od CPCT.
Does a rectangle have two pairs of congruent triangles?
A rectangle has two pairs of congruent (meaning identical) sides.If, however, you drew two lines diagonally from corner to corner, you would have two pairs of congruent triangles within the rectangle.
If two triangles are not congruent do they have no congruent parts?
A triangle has 6 parts ... 3 sides and 3 angles. It's possible for two triangles to have as many as 3 of their parts congruent, and the triangles still not be congruent.
When working with congruent triangles why is it only necessary to be given two pairs of congruent angles to know that all three pairs of angles will be congruent?
Because ALL triangles total 180o...
Is it true that two triangles have 3 pairs of congruent angles then the triangle are not guaranteed to be congruent?
When two triangles are congruent, there are 6 facts that are true about the triangles. The triangles have 3 sets of congruent (of equal length) sides and the triangles have 3 sets of congruent (of equal measure) angles.
The diagonals of a square from 6 pairs of congruent triangles true or false?
False. There are 6 pairs of smaller congruent triangles and two pair of larger ones.
What divides a parallelogram into two congruent triangles?
The diagonal of a parallelogram divides it into two congruent triangles. This is because the diagonal creates two pairs of congruent triangles by dividing the parallelogram into two equal halves.
Do the diagonals of a rhombus make two pairs of congruent triangles?
yes
Can two scalene triangles not be congruent but have 5 congruent parts?
No. Any three consecutive congruent parts (angle-side-angle or side-angle-side) make any two triangles completely congruent.
