Catatan ke-12
Exercise.
Consider the plane figures below! Determine
the congruent sides and angles of both triangles? Explain the answer.
Answer:
- I know that the requirements:
- The corresponding lengths are equal; and
- The corresponding angles are similar.
- I put a letter in every tip of figures. Thus, I have triangle ABD and triangle BCD.
- For the triangle ABD and BCD.
- The followings are the size of corresponding angles:
- ∠ABD corresponds with∠CDB, then ∠ABD = ∠CDB = 350
- ∠BDA corresponds with∠DBC, then ∠BDA = ∠DBA = 550
- ∠DAB corresponds with∠BCD, then ∠DAB = ∠BCD = 900
- The corresponding angles have similar sizes. One requirement is fulfilled.
- The followings are the length of corresponding sides:
- AB corresponds with CD, then AB = CD
- BD corresponds with DB, then BD = DB
- DA corresponds with BC, then DA = BC
- I got the corresponding sides have equal sizes. One requirement is fulfilled.
- Based on the description above I can conclude that two requirements for the congruence of two plane figures are fulfilled. Thus, triangle ABD and BCD are congruent.
Happy blogging!
Ibnu Kahfi
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