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Kanak
17 Jan 2020
∆ ABC and ∆ ABD are on a common base AB, and AC = BD and BC = AD as shown in Fig. 18. Which of the following statements is true?
(i) ∆ ABC ≅ ∆ ABD
(ii) ∆ ABC ≅ ∆ ADB
(iii) ∆ ABC ≅ ∆ BAD

or
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Explain Concept Congruence Figures Help Certain Examples Pqr Efd Side Pqr Equals Ed Ii Angle Pqr Equals E Fig 17 Ab Dc Bc Ad Abc Cda Ii Congruence Condition Used Iii Used Fact Given Question Fig 16 Ad Dc Ab Bc Abd Cbd Ii State Three Parts Matching Pairs Used Answer Following Pairs Triangles Fig 12 15 Lengths Sides Indicated Along Sides Applying Sss Condition DeterFollowing Statements True False Squares Congruent Ii Two Squares Equal Areas Congruent Iii Two RectaFig 8 Aoc Pyr Boc Qyr Name Angle Congruent Aob Correct Say Two Right Angles Congruent Give Reasons Justify Answer Fig B C Name Angle Congruent Aoc Fig Poq Ros Say Por QosFill Blanks Two Line Segments Congruent Ii Two Angles Congruent Iii Two Squres Congruent Iv Two RectLine Segments Ab Cd Bisect Ac Bd Joined Forming Triangles Aoc Bod State Three Equality Relations ParFig 30 Line Segments Ab Cd Bisect Following Statements True Aoc Dob Ii Aoc Bod Iii Aoc Odb State ThrState Condition Following Pairs Triangles Congruent Applying Sas Congruence Condition State Following Pairs Fig 28 Triangles Congruent State Result SymbTriangles Abc Dbc Side Bc Common Ab Bd Ac Cd Two Triangles Congruent State Symbolic Form Congruence Fig 20 Abc Isosceles Ab Ac State Abc Acb Yes State Three Relations Use Arrive Answer Fig 19 Abc Isosceles Ab Ac Mid Point Base Bc Adb Adc Ii State Three Pairs Matching Parts Use Arrive Abc Abd Common Base Ab Ac Bd Bc Ad Shown Fig 18 Following Statements True Abc Abd Ii Abc Adb Iii AbAbc Dbc Isosceles Triangles Common Base Bc Lie Side Bc Triangles Adb Adc Congruent Condition Use BacTriangles Abc Pqr Isosceles Ab Ac Pq Pr Respectively Also Ab Pq Bc Qr Two Triangles Congruent ConditFollowing Pairs Right Triangles Measures Parts Indicated Along Side State Application Rhs CongruenceFig 39 Ao Ob B Aoc Bod Ii State Matching Pair Used Given Question Iii True Say Aco Bdo Fig 38 Ax Bisects Bac Well Bdc State Three Facts Needed Ensure Abd Acd Abc Known B C Imagine Another Copy Abc Abc Acb Ii State Three Pairs Matching Parts Used Answer Iii TDraw Triangle Abc Use Asa Condition Construct Another Triangle Congruent Fig 37 Ad Bisects Ad Bc Adb Adc Ii State Three Pairs Matching Parts Used Iii True Say Bd Dc Following Pairs Triangles Congruent Asa Condition Fig 32 Ab Dc Ab Dc Acd Cab Ii State Three Pairs Matching Parts Used Answer Iii Angle Equal Cad Iv FoFig 31 Ab Ad Bac Dac State Symbolic Form Congruence Two Triangles Abc Adc True Ii Complete Following Abc Isosceles Ab Ac Line Segment Ad Bisects Meets Base Bc Adb Adc Ii State Three Pairs Matching ParFig 47 Bd Ce Altitudes Abc Bd Ce Bcd Cbe Ii State Three Pairs Matching Parts Used Answer Draw Right Triangle Abc Use Rhs Condition Construct Another Triangle Congruent Abc Isoseles Ab Ac Also Ad Bc Meeting Bc Two Triangles Abd Acd Congruent State Symbolic Form Congru Abc Isosceles Ab Ac Ad Altitude Bc Abd Acd Ii State Pairs Matching Parts Used Answer Ii True Say Bd