Are two triangles with two pairs of congruent angles similar to each other?[br]Drag the sliders to change the angle measures. Toggle the check boxes and determine if the two triangles are similar.

Questions: [br]1. What must be true about the third angle measures in both these triangles? What theorem gaurantees this is true?[br][br]2. When two pairs of corresponding angles are congruent what is true about their corresponding sides? Is this always true?[br][br]3. Create two similar triangles with new angle measures. Check the box show sides. Can you determine the scale ratio (scale factor)? [br][br]4. Can you use this scale ratio and find the length of CA? Check your work by checking the box "Show CA"