To determine which sides are congruent in geometric figures, look for markings or symbols indicating equality, such as tick marks on line segments. In triangles, you can also compare corresponding sides from congruent angles using congruence postulates (like SSS, SAS, or AAS). If the figures are identical in size and shape, all corresponding sides will be congruent. Additionally, you can use distance formulas for coordinates to calculate and compare lengths.
One side cannot be congruent: it must be congruent to something!
If triangles ABC and DEF are congruent (ABC ≅ DEF), then by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), the corresponding sides and angles are also congruent. This means that side (AB) is congruent to side (DE), side (BC) is congruent to side (EF), and side (AC) is congruent to side (DF). Additionally, angle (A) is congruent to angle (D), angle (B) is congruent to angle (E), and angle (C) is congruent to angle (F).
To prove that triangles EFG and HIJ are congruent by the Side-Side-Side (SSS) criterion, you would need to show that all three pairs of corresponding sides are congruent. Specifically, you must demonstrate that the lengths of side EF are equal to those of side HI, side FG is equal to side IJ, and side EG is equal to side HJ. Once these three pairs of sides are confirmed to be congruent, the triangles can be concluded as congruent by SSS.
if it has one congruent side it is a scalene triangle. if it has a pair of congruent sides it is an isosceles triangle. if all the sides are congruent it is an equilateral triangle
The question is self-contradictory.
The top side is congruent to the bottom side, and the left side is congruent to the right side.
One side cannot be congruent: it must be congruent to something!
Yes. It is so true that if they are side-by-side, you can hardly tell them apart.
Yes they are. Or they could have three pairs of congruent sides, or they could have one pair of congruent angles and two pairs of sides. As far as a triangle goes, if you have at least three pairs of congruent sides or angles they are congruent. This answer is wrong. The triangles are only similar. For congruent trisngles we have the following theorems = Side - side - side, Side - Angle - side , Angle - angle - side, Right triangle - hypotenuse - side.
No. Any three consecutive congruent parts (angle-side-angle or side-angle-side) make any two triangles completely congruent.
no because it dosent tell all the side lenghts
Without seeing the picture, I can't tell what's already known to be congruent, so there's no way I can figure out what 'else' is needed.
if it has one congruent side it is a scalene triangle. if it has a pair of congruent sides it is an isosceles triangle. if all the sides are congruent it is an equilateral triangle
Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.
The question is self-contradictory.
its a shortcut to tell whether two triangles are congruent to each other or not its a shortcut because you can tell it without having to use geometric tools. There are Four types of them SAS (side angle side) ASA (angle side angle) SSS (side side side) and SAA ( side angle angle), in first one , if two sides and one included angle is congruent to two side and one included angle of another triangle then both triangle are congruent to each other. Second is ASA,, if two angles and one included side are congruent to two angles and one included side of another triangle then they both are congruent to each other. and so on like other one's too (hope you understand my point here). only two cases are not possible here and those are ASS (angle side side) because its not necessary if one angle and two sides are congruent to something then they will be congruent to each other , and the other false statement is AAA (angle angle angle) you could easily have one really small triangle with the same angles of a really big triangle but they will not be congruent so this conjecture would not work.
Yes a trapezoid has two congruent side