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Class 9 Math Parallelograms and Triangles


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Mathcaret
Matrices and Determinants

672 Doubt Solutions

Real and Complex Numbers

1344 Doubt Solutions

Logarithms

2016 Doubt Solutions

Algebric Expressions and Algebric Formulas

2688 Doubt Solutions

Factorization

3360 Doubt Solutions

Algebric Manipulation

4032 Doubt Solutions

Linear Equations and Inequalities

4704 Doubt Solutions

Linear Graphs and their Applications

5376 Doubt Solutions

Introduction to Coordinate Geometry

6048 Doubt Solutions

Congruent Triangles

6720 Doubt Solutions

Parallelograms and Triangles

7392 Doubt Solutions

Line Bisectors and Angle Bisectors

8064 Doubt Solutions

Sides and Angles of Triangle

8736 Doubt Solutions

Ratio and Proportion

9408 Doubt Solutions

Pythagoras's Theorem

10080 Doubt Solutions

Theorems Related with Area

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Practical Geometry _ Triangles

11424 Doubt Solutions

Physicscaret
Chemistrycaret
1.Fillintheblanks.(i)Inaparallelogramoppositesidesare(ii)Inaparallelogramoppositeanglesare(iii)Diagonalsofaparallelogrameachotheratapoint.(iv)Mediansofatriangleare.(v)Diagonalofaparallelogramdividestheparallelogramintotwotriangles.1. Fill in the blanks.(i) In a parallelogram opposite sides are(ii) In a parallelogram opposite angles are(iii) Diagonals of a parallelogram each other at a point.(iv) Medians of a triangle are.(v) Diagonal of a parallelogram divides the parallelogram into two triangles.
ExampleThe bisectors of two angles on the same side of a parallelogram cut each other at right angles.
ExampleThe bisectors of two angles on the same side of a parallelogram cut each other at right angles.

ExampleThebisectorsoftwoanglesonthesamesideofaparallelogramcuteachotheratrightangles.ExampleThe bisectors of two angles on the same side of a parallelogram cut each other at right angles.

(iv) \mathrm{m} \angle 2 \cong \ldots \ldots
(iv) \mathrm{m} \angle 2 \cong \ldots \ldots

(iv)m∠2≅……(iv) \mathrm{m} \angle 2 \cong \ldots \ldots

1. Prove that a rilateral is a parallelogram if its(a) opposite angles are congruent.
1. Prove that a rilateral is a parallelogram if its(a) opposite angles are congruent.

1.Provethatarilateralisaparallelogramifits(a)oppositeanglesarecongruent.1. Prove that a rilateral is a parallelogram if its(a) opposite angles are congruent.

2. Take a line segment of length 5.5 \mathrm{~cm} and divide it into five congruent parts.[Hint: Draw an acute angle \angle \mathrm{BAX} . On \overline{\mathrm{AX}} take \overline{\mathrm{AP}} \cong \overline{\mathrm{PQ}} \cong \overline{\mathrm{QR}} \cong \overline{\mathrm{RS}} \cong \overline{\mathrm{ST}} .
2. Take a line segment of length 5.5 \mathrm{~cm} and divide it into five congruent parts.[Hint: Draw an acute angle \angle \mathrm{BAX} . On \overline{\mathrm{AX}} take \overline{\mathrm{AP}} \cong \overline{\mathrm{PQ}} \cong \overline{\mathrm{QR}} \cong \overline{\mathrm{RS}} \cong \overline{\mathrm{ST}} .

2.Takealinesegmentoflength5.5 cmanddivideitintofivecongruentparts.[Hint:Drawanacuteangle∠BAX.OnAX‾takeAP‾≅PQ‾≅QR‾≅RS‾≅ST‾.2. Take a line segment of length 5.5 \mathrm{~cm} and divide it into five congruent parts.[Hint: Draw an acute angle \angle \mathrm{BAX} . On \overline{\mathrm{AX}} take \overline{\mathrm{AP}} \cong \overline{\mathrm{PQ}} \cong \overline{\mathrm{QR}} \cong \overline{\mathrm{RS}} \cong \overline{\mathrm{ST}} .

3. Find the unknowns in the given figure.
3. Find the unknowns in the given figure.

3.Findtheunknownsinthegivenfigure.3. Find the unknowns in the given figure.

2. In parallelogram A B C D (i) \mathrm{m} \overline{\mathrm{AB}}
2. In parallelogram A B C D (i) \mathrm{m} \overline{\mathrm{AB}}

2.InparallelogramABCD(i)mAB‾2. In parallelogram A B C D (i) \mathrm{m} \overline{\mathrm{AB}}

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