What data must be added so that the triangles are congruent?
We have hundreds of course questions with personalized recommendations + Account 100% premium
What data must be added so that the triangles are congruent?
It is not possible to add data for the triangles to be congruent since the corresponding angles are not equal to each other and therefore the triangles could not be congruent to each other.
Data cannot be added for the triangles to be congruent.
Look at the triangles in the diagram.
Which of the statements is true?
You cannot change the given angles in a triangle! Triangle ABC already has angles of 41° and 39°, and triangle DEF has a 39° angle in a different position. The sum of angles must equal 180°, so changing one angle changes the whole triangle.
No! Even with matching sides, triangles need matching corresponding angles to be congruent. These triangles have different angle arrangements, so they cannot be congruent regardless of side lengths.
Corresponding angles are in the same relative position. In triangle ABC, angle A is opposite side BC. In triangle DEF, angle D should be opposite the corresponding side EF. Check if these angles match!
Possibly! Similar triangles have the same angles but different sizes. However, from the given information, we can see the angles don't match in the correct positions, so these triangles are likely neither congruent nor similar.
You would need completely different triangles where all corresponding angles match exactly. Since you cannot change the given angle measurements, these specific triangles cannot be made congruent.
Get unlimited access to all 18 The Fourth Congruence Condition questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime