Need help on the problem below.

Tommy drew a triangle. Which information will enable you to draw a triangle that is congruent to Tommy's triangle?
a. 2 given sides
b. 2 given angles
c. 2 given sides and 1 given angle
d. 3 given angles

Thanks....

Here's your answer.

http://www.mathsisfun.com/geometry/triangles-congruent.html

To determine which information will enable you to draw a triangle that is congruent to Tommy's triangle, let's review the criteria for identifying congruent triangles.

Two triangles are congruent if all three pairs of corresponding sides are congruent (equal in length) and all three pairs of corresponding angles are congruent (equal in measure).

Now, looking at the options given:

a. 2 given sides: This information alone is not sufficient to draw a congruent triangle. Knowing the lengths of only two sides does not provide enough information about the shape and size of the triangle.

b. 2 given angles: Similarly, having the measure of only two angles is insufficient to draw a congruent triangle. It does not provide enough information about the lengths of the sides.

c. 2 given sides and 1 given angle: This combination of information is indeed sufficient to draw a congruent triangle. With two sides of a given length and one angle measure, you can create a triangle that is the same shape and size as Tommy's triangle.

d. 3 given angles: Having the measures of all three angles does not guarantee that the corresponding sides are equal in length. Therefore, this option does not provide enough information to draw a congruent triangle.

Thus, the answer is:
c. 2 given sides and 1 given angle