Riya draws triangle ABC and triangle DEF. She measures angle A = 55°, angle B = 65° in the first, and angle D = 55°, angle F = 60° in the second. She wants to know if the triangles are similar with AD correspondence. Check the third angles and decide.

Question

Riya draws triangle ABC and triangle DEF. She measures angle A = 55°, angle B = 65° in the first, and angle D = 55°, angle F = 60° in the second. She wants to know if the triangles are similar with A<->D correspondence. Check the third angles and decide.

Accepted Answer

Yes, similar by AA (angles 55, 65, 60 match). First: angles 55, 65, 60. Second: angle D = 55, F = 60, so E = 180 - 55 - 60 = 65. Both have 55, 65, 60, so two angles match — similar by AA.

Riya draws triangle ABC and triangle DEF. She measures angle A = 55°, angle B = 65° in the first, and angle D = 55°, angle F = 60° in the second.
She wants to know if the triangles are similar with A<->D correspondence.
Check the third angles and decide.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Criteria for Similarity practice

Riya draws triangle ABC and triangle DEF. She measures angle A = 55°, angle B = 65° in the first, and angle D = 55°, angle F = 60° in the second.She wants to know if the triangles are similar with A<->D correspondence.Check the third angles and decide.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Criteria for Similarity practice

Riya draws triangle ABC and triangle DEF. She measures angle A = 55°, angle B = 65° in the first, and angle D = 55°, angle F = 60° in the second.
She wants to know if the triangles are similar with A<->D correspondence.
Check the third angles and decide.