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Presentation On Triangles

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Presentation on Triangles

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  1. Triangle is one of the basic shapes in geometry. Can you form a triangle using any three lines? Here is one of the simple ways to know whether the given lines will form a triangle or not. Take 3 lines. Consider their lengths as x, y, and z; z be the longest side. If, x + y < z, the triangle will not be formed. If x + y = z, the two lines will join and will overlap on the line z. Finally when x + y > z, only then these three lines will form a triangle. You can also give it a try and let us know about your little experiment. @ TRIANGLES What are we going to learn : 6.1 Similarity 6.2 Properties & Theorems
  2. CONGRUENCY AND SIMILARITY All sides and angles are equal. In congruency, we have • Same shape Same size A Here, AABC & APQR have the Same shape Same size Similarity In similarity, we have • Same shape But size is different B Here, AABC & APQR have the Same shape But, not same size as APQR is bigger than AABC All sides and angles are proportional
  3. sss ASA RHS Rules for Triangle Congruency SAS 30 SSA is not sufficient for congruency. It may make two different triangles.
  4. l) AAA or AA criteria: (Angle • Angle • Ange) 40 Iftwo triarwles are are equal to each tirn tiry ze simdar. Example: In AABCardAPQR, 65 65 B LA=zP, zB=zQard LC=zR tlrn A ABC A IQR (by AAA criteria) Remark: Iftuo ofone tnar•gle are equal to two arglesofanotlrr tnangle reqxctively tirn the third angle has to be same Hence an AA cntenon s same as AAA mteria.
  5. SSScriteria: (Side • Sick • Si&) Ifin two trianß6, tie Si&s of triatgle are propMional to sides of other trunge then they are stmilu. Examrie: In AABCatd APQR, PO QR PR (bys criteria) 4 2 B 3 35 q c 6 6 7 2
  6. 3) SAS criteria: $i'k • Angk • Skle) Ifin two tnatglß, par ofcortespotihtg Sides is pp«tiotul and Included angles are equl tirn two triatgles are sinlar. Example: lnAABC and APQR, ifLA:zP And tirnAABC-APQR (by SAScriteria) 4 12
  7. Charts GIVEN c CONSTRUCT €0 SMALLER (similar triangle) CONGRUENT (exactly same triangle) P LARGER (similar triangle) 1 2 Numerator the denominator Both numerator Denominator are equal Numerator Js larger than the denominator
  8. 02
  9. MCQs (Multiple Choice Questions) AAA AA A) True Q dway•s A) Truc B) False B) Fair QA A With three i' a A) square B) tnatÜ D) cin•tc QS. Angles are Q.6. All dmilar. A) right B) Q.7. AABC SPQR then — — c) teo• C) equilateral D) teo• D) None D) PR
  10. Q.S. What is similarity crieria for A ABC -A PQR? 4 A) SAS o sss B) AAA D) ASA 2 What the simiiuity criteria DEF and A XYZ,' A) SAS B) AAA osss D) •Hypo Q.tO. AABC i (AB) S t (DE) B) 73 IOS 0 fEtor is 2.5, the D) 123 IAA), 24B). J.(B). 4.(C), s.(A). 6.(C), 70), s.(C), 9.09.
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  16. N/A
  17. In?portant 'Vhcorcms A side of a
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