Question
Identify all pairs of congruent corresponding parts. Then write another congruence statement for the
figures
Hint:
Given , the congruence of polygons . so just identify the corresponding Angles and sides . For writing another congruence statement make sure the order of correspondence is maintained.
The correct answer is: ∠A = ∠P ;∠B = ∠Q ;∠C = ∠R;∠D = ∠S (corresponding angles) AB = PQ ;BC = QR ;CD = RS ;AD = PS (corresponding sides ) BCDA ≅ QRSP
∠A = ∠P ;∠B = ∠Q ;∠C = ∠R; ∠D = ∠S (corresponding angles)
AB = PQ ;BC = QR ;CD = RS ;AD = PS (corresponding sides )
BCDA ≅ QRSP
Explanation :-
Given , ABCD ≅ PQRS
We get corresponding angles as
∠A = ∠P
∠B = ∠Q
∠C = ∠R
∠D = ∠S
We get corresponding sides as
AB = PQ
BC = QR
CD = RS
AD = PS
The other congruence statement as BCDA ≅ QRSP (the order of corresponding vertices is maintained)
Explanation :-
Given , ABCD ≅ PQRS
We get corresponding angles as
We get corresponding sides as
The other congruence statement as BCDA ≅ QRSP (the order of corresponding vertices is maintained)
Two polygons are considered to be congruent if the sides and angles match. When two sides or angles have the same length are considered to be congruent. We demonstrate that the angles are congruent by inserting the same slash marks through each one.
The symbol for congruence is ≅ and can be written as △ABC ≅ △DEF. ∠A is equivalent to ∠D, ∠B to ∠E, and ∠C to ∠F. Side AB corresponds to DE, BC to EF, and AC to DF.
Two triangles are formed with three sides that are congruent. Triangles are congruent if all three pairs of corresponding sides are congruent.
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¶
| Area | ¶(πr2)/2 | ¶
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| Angle in a semicircle | ¶¶90 degrees, i.e., right angle ¶ | ¶
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A semicircle is formed when a lining passing through the center touches the circle's two ends. As a result of joining two semicircles, we get a circular shape.
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The value is 3.14 or 22/7.
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¶
| Area | ¶(πr2)/2 | ¶
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| Angle in a semicircle | ¶¶90 degrees, i.e., right angle ¶ | ¶
| Central angle | ¶180 degrees | ¶
