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amitpaswan09
amitpaswan09
Asked: April 1, 2023In: Class 9 Maths

In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively see Figure. Show that the line segments AF and EC trisect the diagonal BD.

In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively see Figure. Show that the line segments AF and EC trisect the diagonal BD.

Define vertically opposite angles. Prove to corresponding sides of similar triangles Class 9, EXERCISE 8.2, Page No: 151, Questions No:5. Session 2023-2024 are based on CBSE Board.

class 9mathsncert
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  • 491 Views
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Answer
amitpaswan09
amitpaswan09
Asked: April 1, 2023In: Class 9 Maths

ABCD is a trapezium in which AB || DC, BD is a diagonal and E is the mid-point of AD. A line is drawn through E parallel to AB intersecting BC at F see figure. Show that F is the mid-point of BC.

ABCD is a trapezium in which AB || DC, BD is a diagonal and E is the mid-point of AD. A line is drawn through E parallel to AB intersecting BC at F see figure. Show that F is the mid-point of BC.

How are triangles similar by the angle-angle (AA) similarity criterion. Define the the corresponding sides of similar triangles NCERT Books for Session 2022-2023 are based on CBSE Board. Important NCERT Book, Exercise 8.2, Question no: 4, Page No: 150.

class 9mathsncert
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  • 198 Views
  • 2 Votes
Answer
amitpaswan09
amitpaswan09
Asked: April 1, 2023In: Class 9 Maths

ABCD is a trapezium in which AB || CD and AD = BC see Figure. Show that (i) ∠ A = ∠ B (ii) ∠ C = ∠ D (iii) ∆ ABC ≅ ∆ BAD (iv) diagonal AC = diagonal BD

ABCD is a trapezium in which AB || CD and AD = BC see Figure. Show that (i) ∠ A = ∠ B (ii) ∠ C = ∠ D (iii) ∆ ABC ≅ ∆ BAD (iv) diagonal AC = diagonal BD

What is the side-angle-side (SAS) congruence criterion. Prove the corresponding parts of congruent triangles Quadrilaterals Solutions for Class 9th Maths. 9th Maths EXERCISE 8.1,Page No:147, Questions No:12, Session 2023-2024.

class 9mathsncert
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  • 76 Views
  • 1 Vote
Answer
keshav kumar
keshav kumar
Asked: March 31, 2023In: Class 9 Maths

In ∆ ABC and ∆ DEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. 8.22). Show that (i) quadrilateral ABED is a parallelogram (ii) quadrilateral BEFC is a parallelogram (iii) AD || CF and AD = CF (iv) quadrilateral ACFD is a parallelogram (v) AC = DF (vi) ∆ ABC ≅ ∆ DEF.

In ∆ ABC and ∆ DEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. 8.22). Show that (i) quadrilateral ABED is a parallelogram (ii) quadrilateral BEFC is a parallelogram (iii) AD || CF and AD = CF (iv) quadrilateral ACFD is a parallelogram (v) AC = DF (vi) ∆ ABC ≅ ∆ DEF.

Define the opposite angles of quadrilateral. To prove the opposite angles of quadrilateral are supplementary. Class 9th Maths Important Question Answer, Session 2023-2024. Quadrilaterals, EXERCISE 8.1, Page No: 147, Questions No:11.

class 9mathsncert
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  • 1 Vote
Answer
keshav kumar
keshav kumar
Asked: March 31, 2023In: Class 9 Maths

ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD see Figure. Show that (i) ∆ APB ≅ ∆ CQD (ii) AP = CQ

ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD see Figure. Show that (i) ∆ APB ≅ ∆ CQD (ii) AP = CQ

Find the corresponding angles. Prove the corresponding sides of congruent triangles NCERT Books for Session 2022-2023 are based on CBSE Board. Important NCERT Book, Exercise 7.4, Question no: 10, Page No: 147.

class 9mathsncert
  • 1 1 Answer
  • 35 Views
  • 2 Votes
Answer
keshav kumar
keshav kumar
Asked: March 31, 2023In: Class 9 Maths

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ see Figure. Show that: (i) ∆ APD ≅ ∆ CQB (ii) AP = CQ (iii) ∆ AQB ≅∆ CPD (iv) AQ = CP (v) APCQ is a parallelogram

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ see Figure. Show that: (i) ∆ APD ≅ ∆ CQB (ii) AP = CQ (iii) ∆ AQB ≅∆ CPD (iv) AQ = CP (v) APCQ is a parallelogram

Opposite angles in a parallelogram, why are congruent. To prove is a diagonal of parallelogram. Class 9th Maths, Page No:147, Questions No:9, Exercise 8.1 NCERT, Solutions for Class 9th Maths, Session 2023-2024.

class 9mathsncert
  • 1 1 Answer
  • 46 Views
  • 2 Votes
Answer
keshav kumar
keshav kumar
Asked: March 31, 2023In: Class 9 Maths

Diagonal AC of a parallelogram ABCD bisects ∠A see Figure. Show that (i) it bisects ∠C also, (ii) ABCD is a rhombus.

Diagonal AC of a parallelogram ABCD bisects ∠A see Figure. Show that (i) it bisects ∠C also, (ii) ABCD is a rhombus.

Prove the angle-angle-side congruence criterion. What is implies rhombus. Quadrilaterals Solutions for Class 9th Maths. 9th Maths EXERCISE 8.1,Page No:146, Questions No:6, Session 2023-2024. Class 9th, NCERT Books for Session 2023-2024, based on CBSE Board.

class 9mathsncert
  • 1 1 Answer
  • 19 Views
  • 2 Votes
Answer
som dutt
som dutt
Asked: March 28, 2023In: Class 9 Maths

In Figure PR > PQ and PS bisects ∠ QPR. Prove that ∠ PSR > ∠ PSQ.

In Figure PR > PQ and PS bisects ∠ QPR. Prove that ∠ PSR > ∠ PSQ.

Prove to using the triangle inequality. Using the fact and define the sum of angles in a triangle. 9th Maths EXERCISE 7.4, Page No:132, Questions No:5. NCERT Books for Session 2023-2024 are based on CBSE Board.

class 9mathsncert
  • 1 1 Answer
  • 13 Views
  • 2 Votes
Answer
som dutt
som dutt
Asked: March 28, 2023In: Class 9 Maths

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Figure). Show that ∠ A > ∠ C and∠ B > ∠ D.

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Figure). Show that ∠ A > ∠ C and∠ B > ∠ D.

Use of similar argument and longest side of quadrilateral. Class 9, EXERCISE 7.2, Page No: 132, Questions No:4. CBSE Board OP Board and Others state Board, Session 2023-2024. Important NCERT Book, Chapter Triangles Question Answer.

class 9mathsncert
  • 1 1 Answer
  • 16 Views
  • 2 Votes
Answer
som dutt
som dutt
Asked: March 28, 2023In: Class 9 Maths

In Figure sides AB and AC of Δ ABC are extended to points P and Q respectively. Also, ∠ PBC AB.

In Figure sides AB and AC of Δ ABC are extended to points P and Q respectively. Also, ∠ PBC  AB.

Define the exterior angle and consider triangles. NCERT Books for Session 2022-2023 are based on CBSE Board. Important Triangles Solutions for class 9th. Important NCERT Book, Exercise 7.4, Question no: 2, Page No: 132.

class 9mathsncert
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  • 20 Views
  • 2 Votes
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    dinesh kumar added an answer In quadrilateral ABCD, AB = CD [∵ Given] (1/2)AB =… April 1, 2023 at 8:38 am
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    jivan kumar added an answer In ΔABD, E is mid-point of AD [∵ Given] and… April 1, 2023 at 8:38 am
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    jivan kumar added an answer In AECD, AE ∥ DC [∵ Given] AD ∥ CE… April 1, 2023 at 8:37 am
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    amitpaswan09 added an answer (i) ∠DAC = ∠BAC ...(1) [∵ Given] ∠DAC = ∠BCA… April 1, 2023 at 4:30 am
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    amitpaswan09 added an answer (i) In ΔAPD and ΔCQB, DP = BQ [∵ Given]… April 1, 2023 at 4:30 am

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