The figure below shows two triangles. Which statement about the triangles is true? i.imgsafe(.)org/c60dcd0488(.)jpg
The triangles can be proven congruent by:
1. Angle angle side <<<
2. Angle side angle
3. Side angle side
4. The triangles cannot be proven congruent
The correct answer is: 1. Angle angle side
To determine which statement about the triangles is true, we need to analyze their corresponding angles and sides. However, I am unable to view the image you provided. No worries, I can still explain the process for determining if two triangles are congruent without seeing the image.
To prove that two triangles are congruent, we can use different criteria depending on the information we have about their angles and sides. The four common methods for proving triangle congruence are:
1. Angle-Angle-Side (AAS): If we know that two angles of one triangle are congruent to two angles of another triangle, and the lengths of the sides included between the congruent angles are also equal, then the triangles are congruent.
2. Angle-Side-Angle (ASA): If we have one angle of one triangle congruent to one angle of another triangle, and the lengths of the sides adjacent to the congruent angles are also equal, then the triangles are congruent.
3. Side-Angle-Side (SAS): If we have two sides of one triangle congruent to two sides of another triangle, and the included angles are also equal, then the triangles are congruent.
4. Side-Side-Side (SSS): If all three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent.
Based on the given options, the statement "Angle angle side" refers to the AAS criterion, where two angles and the side included between them are congruent. Therefore, the correct answer is option 1: "The triangles can be proven congruent by angle angle side."