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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ८ वी

In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.

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प्रश्न

In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.

एका वाक्यात उत्तर
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उत्तर

The triangles are congruent by the SAS Test under the correspondance XWZ ↔ YWZ.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 13: Congruence of triangles - Practice Set 13.1 [पृष्ठ ८५]

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बालभारती Mathematics [English] Standard 8 Maharashtra State Board
पाठ 13 Congruence of triangles
Practice Set 13.1 | Q 1.1 | पृष्ठ ८५
बालभारती Mathematics Integrated [English] Standard 8 Maharashtra State Board
पाठ 13 Congruence of Triangles
Practice Set 13.1 | Q 1. (i) | पृष्ठ ६०

संबंधित प्रश्‍न

In the given figure, AB ⊥ BE and FE ⊥ BE. If BC = DE and AB = EF, then ΔABD is congruent to


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


As shown in the following figure, in ΔLMN and ΔPNM, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts.


In ΔABC and ΔPQR and, AB = PQ, BC = QR and CB and RQ are extended to X and Y respectively and ∠ABX = ∠PQY. = Prove that ΔABC ≅ ΔPQR.


Prove that in an isosceles triangle the altitude from the vertex will bisect the base.


In ΔABC, AB = AC. D is a point in the interior of the triangle such that ∠DBC = ∠DCB. Prove that AD bisects ∠BAC of ΔABC.


In the given figure, AB = DB and AC = DC. Find the values of x and y.


Which of the following rule is not sufficient to verify the congruency of two triangles


In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆PQR should be equal to side AB of ∆ABC so that the two triangles are congruent? Give reason for your answer.


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