Catatan ke-10
A. Exercise
Consider the plane figures below! Show the corresponding sides and angles are similar from the couples of these congruent figures? Explain your answer.
Answer:
- We know that the requirements for the congruence of two plane figures:
- The corresponding lengths are equal; and
- The corresponding angles are similar.
- In every tip of the trapezoids, I give a letter. So, it will be easy to get the solutions. We have the trapezoid PQRS and the trapezoid WXYZ.
- For the trapezoids PQRS and WXYZ.
- The followings are the size of corresponding angles:
- ∠PQR corresponds with ∠YZW, then ∠PQR = ∠YZW = 450
- ∠QRS corresponds with ∠ZWX, then ∠QRS = ∠ZWX =1350
- ∠RSP corresponds with ∠WXY, then ∠RSP = ∠WXY = 900
- ∠SPQ corresponds with ∠XYZ, then ∠SPQ = ∠XYZ = 900
- The corresponding angles have similar sizes. It's mean, one requirement is fulfilled.
- The followings are the length of corresponding sides:
- PQ corresponds with YZ, then PQ = YZ
- QR corresponds with ZW, then QR = ZW
- RS corresponds with WX, then RS = WX
- SP corresponds with XY, then SP = XY
- I got the corresponding sides have equal sizes. Hence, one requirement is fulfilled.
- Based on the description above, I can conclude that the trapezoid PQRS is congruent with the trapezoid WXYZ because two requirements are fulfilled.
Happy blogging!
Ibnu Kahfi
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