Catatan ke-2
A. Introduction
Before you
study the congruence of two plane figures, you have to know
about plane figure or two dimensions.
Plane figure
is geometric figure that all parts placed in one plane. Examples: right,
triangle, square, rectangle, parallelogram, trapezoid, pentagonal, circle, and ellipse.
B. The Congruence of Two Plane Figures
The
congruence of two plane figures are two plane figures that have equal form and
size, pressed to each other, then they will closed with exactly.
C. The Requirements
The
requirements for the congruence of two plane figures:
- The corresponding lengths are equal,
- The corresponding angles are similar.
As notes:
- If the corresponding lengths are equal, then the proportion of them, must be 1:1;
- If one's of two requirements aren't achieved, means the two plane figures are not congruent.
D. The Example Question
Can you
determine the couples of the rectangle ABCD and EFGH
are congruent or not?
Answer:
Based on the
figures above, we have the rectangle ABCD and EFGH. Then,
solution for the question above are:
- First, we have to find the equal lengths. Determine whether the equal lengths are corresponds or not! The followings are the lengths of the corresponding sides:
- AB corresponds with EF, so AB = EF = 8 cm,
- BC corresponds with FG, so BC = FG = 3 cm,
- CD corresponds with GH, so CD = GH = 8 cm,
- DA corresponds with HE, so DA = HE = 3 cm.
- We found that the corresponding lengths are equal. One of requirements is achieved.
- Second, we have to find the similar angles. Determine whether the angles are corresponds or not! The followings are the corresponding angles:
- ∠ABC corresponds with ∠EFG, so ∠ABC = ∠EFG = 90°,
- ∠BCD corresponds with ∠FGH, so ∠BCD = ∠FGH = 90°,
- ∠CDA corresponds with ∠GHE, so ∠CDA = ∠GHE = 90°,
- ∠DAB corresponds with ∠HEF, so ∠DAB = ∠HEF = 90°.
- We found the corresponding angles are similar size. And also, either requirement is achieved.
- Finally, the couples of the rectangle ABCD and the rectangle EFGH are congruent.
Happy blogging!
Ibnu Kahfi
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