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सी.आई.एस.सी.ई.आयसीएसई ICSE Class 7

State, Whether the Pairs of Triangles Given in the Following Figures Are Congruent Or Not: - Mathematics

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प्रश्न

State, whether the pairs of triangles given in the following figures are congruent or not:

एका वाक्यात उत्तर

उत्तर

In these right triangles, one side and diagonal of the one, are equal to the corresponding side and diagonal are equal. Hence these are congruent triangles.
(R.H.S. Axiom)

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पाठ 19: Congruency: Congruent Triangles - Exercise 19

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सेलिना Concise Mathematics [English] Class 7 ICSE
पाठ 19 Congruency: Congruent Triangles
Exercise 19 | Q 1.5

संबंधित प्रश्‍न

In a squared sheet, draw two triangles of equal areas such that

The triangles are not congruent.

What can you say about their perimeters?


In the following example, a pair of triangles is shown. Equal parts of triangles in each pair are marked with the same sign. Observe the figure and state the test by which the triangle in each pair are congruent.

By ______ test

Δ ABC  ≅  ΔPQR


Observe the information shown in pair of triangle given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.

From the information shown in the figure,

in ΔPTQ and ΔSTR

seg PT ≅ seg ST

∠PTQ ≅ ∠STR        ...[Vertically opposite angles]

∴ ΔPTQ ≅ ΔSTR       ...`square` test

∴ `{:("∠TPQ" ≅ square),("and"  square ≅ "∠TRS"):}}`      ...corresponding angles of congruent triangles

seg PQ ≅ `square`         ...corresponding sides of congruent triangles


In the adjacent figure, seg AD ≌ seg EC Which additional information is needed to show that ∆ ABD and ∆ EBC will be congruent by A-A-S test?


If the following pair of the triangle is congruent? state the condition of congruency: 

In ΔABC and ΔPQR, BC = QR, ∠A = 90°, ∠C = ∠R = 40° and ∠Q = 50°.


State, whether the pairs of triangles given in the following figures are congruent or not:

   


Sides, AB, BC and the median AD of ΔABC are equal to the two sides PQ, QR and the median PM of ΔPQR. Prove that ΔABC ≅ ΔPQR.


Given that ∆ABC ≅ ∆DEF List all the corresponding congruent angles


In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if ______.


“If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent.” Is the statement true? Why?


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