Posted by **Anonymous** on Tuesday, January 20, 2009 at 7:19pm.

If you had two triangles, triangle RST and triangle UVW, and in triangle RST angle R= angle S= angle T and in triangle UVW angle U= angle V= angle W, is there enough information to prove that the triangles are congruent?

So each triangle is equiangular. But I don't know, is that enough to prove them congruent? Because aren't equiangular triangles also equilateral? What would the method be?

- geometry -
**Reiny**, Tuesday, January 20, 2009 at 9:04pm
No

To prove that two triangles are congruent you need at least one side of one triangle to be equal to that side in the other.

Having only angles equal would make them similar, that is, the corresponding angles are equal, and the corresponding sides are in the same ratio.

e.g.

suppose you have a any triangle, now create a new triangle by doubling each side of the original.

They certainly will not be congruent, but the corresponding angles of the the new and the old one would be equal.

an equilateral triangle has all its angles the same, namely 60 degrees.

## Answer this Question

## Related Questions

- Geometry - Write an indirect proof that an obtuse triangle does not have a right...
- Geometry - Triangle UVW is the pre-image of triangle RST with a scale factor of ...
- Math - Triangle ABC and RST are similar triangles. A=2(x+15)^0,angle S= 3x^0 and...
- Math - Triangle RST, RS = 30 centimeters, measure of angle T = 105, and measure ...
- geometry - can one tell if two triangles are congruent if they are given only ...
- Math-CHECK PLEASE - Which of the statements is ALWAYS TRUE? A-A right triangle ...
- 8th Grade Geometry - given that triangle ABC~ triangle XYZ, angle a=50, angle x...
- geometry - Triangle XYZ above is similar to triangle UVW (not shown). If the ...
- geometry - Triangle XYZ above is similar to triangle UVW (not shown). If the ...
- Math(Geometry) - In the diagram below(no diagram but details will be provided), ...