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Well if two triangles have sides of the same length, then by SSS they are congruent. In addition, if they have sides of the same length, their perimeters would be the same. So at first it seems like the answer would be yes. However, if is easy to come up with two triangles with the same perimeter whose sides do not have the same length Triangle 1 has sides 10, 15 and 30 to know if this is a triangle, we need the length of any side to be less the sum of the other two sides. So 10
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Does 2 diagonals of a square divide it into 4 congruent triangles?
0.5
Is all squares can be cut in half to make 2 congruent triangles a generalization?
no its an emphatic statement all squares can be cut in half to make 2 congruent isosceles right triangles is perhaps as general a statement as is possible
What solid figure has 2 congruent triangles for bases and 3 rectangles as faces?
A triangular prism. :)
Name four different types of triangles?
Types of Triangles: By Sides: Isosceles- 2 congruent sides Scalene- no congruent sides Equilateral- 3 congruent sides By Angles: Acute- angles measuring less than 90° Obtuse- one angle measuring more than 90° Right- one angle measuring exactly 90° Equiangular- all angles measuring exactly the same- same as equilateral triangle
What is the scale factor of the perimeters of triangle ABC and triangle WXY?
APPLYING THE SCALE FACTOR OF SIMILAR TRIANGLES TO THE PERIMETER The scale factor of two similar triangles (or any geometric shape, for that matter) is the ratio between two corresponding sides. In today's lesson, we will show that this same scale factor also applies to the ratio of the two triangles' perimeter. This is fairly easy to show, so today's lesson will be short. PROBLEM Two triangles, ΔABC and ΔADE are similar, ΔABC∼ ΔADE. The scale factor, AB/AD is 6/5. Find the ratio of the perimeters of the two triangles. Similar triangles in geometry STRATEGY We will use the definition of the scale factor to define one set of sides in terms of the other set of sides, Then, apply the definition of the perimeter. and write out the perimeter of both triangles using one set of sides. SOLUTION (1) ΔABC∼ ΔADE //Given (2) AB/AD = 6/5 //Given (3) BC/DE = 6/5 //(1), (2), scale factor is the same for all sides in similar triangles. (4) AC/AE = 6/5 //(1), (2), scale factor is the same for all sides in similar triangles. (5) AB = 6/5*AD // rearrange (2) (6) BC = 6/5*DE // rearrange (3) (7) AC = 6/5*AE // rearrange (4) (8) PABC=AB+BC+AC //definition of perimeter (9) PADE=AD+DE+AE //definition of perimeter (10)PABC=6/5AD+6/5DE+ 6/5*AE //(8), (5), (6) , (7), Transitive property of equality (11)PABC=6/5*(AD+DE+AE) //(10), Distributive property of multiplication (12) PABC=6/5*PADE //(11), (9), Transitive property of equality (13) PABC/PADE=6/5 And so we have easily shown that the scale factor of similar triangles is the same for the perimeters.
Are 2 triangles congruent if they have the same area?
Not always
Are 2 squares with the same perimeter congruent?
Yes they are
Can a congruent triangle have 2 same sides?
congruent means equivalent. An equilateral triangle has 3 of the same sides, not two. Isosceles triangles can have 2 or 3 of the same length sides. Congruent isosceles triangles are impossible.I agree with most of the above answer but not the last sentence. It is possible to have congruent isosceles triangles. If the legs (sides) of triangle 1 are the same length as the legs of triangle 2, and the bases (third side) of the two triangles are the same length then the two isosceles triangles will be congruent.So the answer to the question is: yes, a congruent triangle can have two same length sides.
How many congruent triangles make a parallelogram?
Answer: 2 Explanation: A parallelogram is a quadrilateral which has both pairs of the opposite sides parallel. Congruent triangles are triangles that have exactly the same three sides and exactly the same three angles. So, in a parallelogram, each diagonal divides it in 2 congruent triangles. Source: Algebra.com
Can two triangles with 2 congruent angles and 1 congruent side congruent?
Yes, they are. IF the side is between the two angles in both triangles,and all three items flow in the same direction in both triangles.
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.
What is a triangle called with 2 congurent sides?
isosceles triangles have 2 congruent sides scalene triangles have no congruent sides equilateral triangles have 3 congruent sides
Are 2 isosceles triangles with congruent bases congruent?
No.
Do 2 triangles with 2 equal sides have the same area?
Only if the two triangles are congruent will they have equal areas. A third fact is required to determine they are congruent (and thus have the same area): 1) The third sides are equal; 2) The angles enclosed between the sides are equal; or 3) The same one of the sides is the hypotenuse of the triangles, which are right angled triangles.
Do isosceles triangles always have 2 congruent sides?
Yes because the two sides of a triangle that are the same lenth are congruent.
What polyhedron has 2 congruent triangles?
A polyhedron with two congruent triangles. There are very many possible configurations.
Type of triangle that has at least two sides the same?
Isosceles triangles have 2 congruent sides. Equilateral triangles have 3 congruent sides. However, all of this works only in euclidean geometry.
