मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Observe the figure and complete the following activity In fig, ∠B = 75°, ∠D = 75° ∠B ≅ [ ______ ] ...[each of 75°] ∠C ≅ ∠C ...[ ______ ] ΔABC ~ Δ [ ______ ] ...[ ______ similarity test] - Geometry Mathematics 2

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प्रश्न

Observe the figure and complete the following activity


In fig, ∠B = 75°, ∠D = 75°

∠B ≅ [ ______ ]       ...[each of 75°]

∠C ≅ ∠C         ...[ ______ ]

ΔABC ~ Δ [ ______ ]     ...[ ______ similarity test]

बेरीज

उत्तर

In fig, ∠B = 75°, ∠D = 75°

∠B ≅ ∠D          ...[each of 75°]

∠C ≅ ∠C             ...[Common angle]

ΔABC ~ ΔEDC        ...[AA similarity test]]

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Similarity - Q.2 (A)

संबंधित प्रश्‍न

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State, true or false:

Two congruent polygons are necessarily similar.


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In the given figure, triangle ABC is similar to  triangle PQR. AM and PN are altitudes whereas AX and PY are medians.

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In the given figure, ∠ABC = 75°, ∠EDC = 75° state which two triangles are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.


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ΔABC ~ ΔPQR, A(ΔABC) = 80 sq.cm, A(ΔPQR) = 125 sq.cm, then complete `("A"(Δ"ABC"))/("A"(Δ"PQR")) = 80/125 = (["______"])/(["______"])`, hence `"AB"/"PQ" = (["______"])/(["______"])`


In ΔABC, AP ⊥ BC and BQ ⊥ AC, B−P−C, A−Q−C, then show that ΔCPA ~ ΔCQB. If AP = 7, BQ = 8, BC = 12, then AC = ?


In ΔCPA and ΔCQB

∠CPA ≅ [∠ ______]    ...[each 90°]

∠ACP ≅ [∠ ______]   ...[common angle]

ΔCPA ~ ΔCQB     ......[______ similarity test]

`"AP"/"BQ" = (["______"])/"BC"`    .......[corresponding sides of similar triangles]

`7/8 = (["______"])/12`

AC × [______] = 7 × 12

AC = 10.5


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