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Asked on June 13, 2020 by Adheenlone

(10) In a right angled triangle ABC right angled at C. M is the midpoint of hypotenuse AB. Cis joined to Mand produced to a point D such that DM = CM. Point D is joined to point B show that: (i) AAMC = ABMD (ii) ZDCB is a right angle. (iii) ADBC = A ACB (iv) CM = AB.

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Practice important Questions

NCERT Solution for Class 9 Maths Chapter 7

31 Qs

If two corresponding sides and the angle between them of a triangle are equal to another triangle. Then the angles are :

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Without drawing the triangles write all size pairs of equal measures in each of the following pairs of congruent triangles.
$△ X Y Z ≅ △ M L N$

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In the fig. If $∠ A B C = ∠ A E C$ & $A B = B C$ then $A E = 2 C A$ .

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AD is an altitude of an isosceles triangles ABC in which AB $=$ AC. Show that AD bisects $∠$ A.

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State whether the triangles are congruent or not ? Give reasons for your answer ?

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Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.

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The diagonal from B to D is drawn in parallelogram ABCD. Which of the following methods can NOT be used to prove $△ D A B ≅ △ B C D$

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AB = EC.
If the above statement is true then mention answer as 1, else mention 0 if false

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On the sides AB and AC of triangle ABC, equailateral triangle ABD and ACE are drawn, then $∠ C A D = ∠ B A E$
If true then enter $1$ and if false then enter $0$

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$A B C D$ is a square. $A$ is joined to a point on $B C$ and $D$ is joined to a point $Q$ on $A B$ . If $A P = D Q$ ; prove that $A P$ and $D Q$ are perpendicular to each other.

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(10) In a right angled triangle ABC right angled at C. M is the midpoint of hypotenuse AB. Cis joined to Mand produced to a point D such that DM = CM. Point D is joined to point B show that: (i) AAMC = ABMD (ii) ZDCB is a right angle. (iii) ADBC = A ACB (iv) CM = AB.

Video Explanation

Answer

Practice important Questions

NCERT Solution for Class 9 Maths Chapter 7

Related questions

If two corresponding sides and the angle between them of a triangle are equal to another triangle. Then the angles are :

Without drawing the triangles write all size pairs of equal measures in each of the following pairs of congruent triangles.
$△ X Y Z ≅ △ M L N$

In the fig. If $∠ A B C = ∠ A E C$ & $A B = B C$ then $A E = 2 C A$ .

AD is an altitude of an isosceles triangles ABC in which AB $=$ AC. Show that AD bisects $∠$ A.

State whether the triangles are congruent or not ? Give reasons for your answer ?

Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.

The diagonal from B to D is drawn in parallelogram ABCD. Which of the following methods can NOT be used to prove $△ D A B ≅ △ B C D$

AB = EC.
If the above statement is true then mention answer as 1, else mention 0 if false

On the sides AB and AC of triangle ABC, equailateral triangle ABD and ACE are drawn, then $∠ C A D = ∠ B A E$
If true then enter $1$ and if false then enter $0$

$A B C D$ is a square. $A$ is joined to a point on $B C$ and $D$ is joined to a point $Q$ on $A B$ . If $A P = D Q$ ; prove that $A P$ and $D Q$ are perpendicular to each other.

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(10) In a right angled triangle ABC right angled at C. M is the midpoint of hypotenuse AB. Cis joined to Mand produced to a point D such that DM = CM. Point D is joined to point B show that: (i) AAMC = ABMD (ii) ZDCB is a right angle. (iii) ADBC = A ACB (iv) CM = AB.

Video Explanation

Answer

Practice important Questions

NCERT Solution for Class 9 Maths Chapter 7

Related questions

If two corresponding sides and the angle between them of a triangle are equal to another triangle. Then the angles are :

Without drawing the triangles write all size pairs of equal measures in each of the following pairs of congruent triangles. △XYZ≅△MLN

In the fig. If ∠ABC=∠AEC & AB=BC then AE=2CA.

AD is an altitude of an isosceles triangles ABC in which AB=AC. Show that AD bisects ∠A.

State whether the triangles are congruent or not ? Give reasons for your answer ?

Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.

The diagonal from B to D is drawn in parallelogram ABCD. Which of the following methods can NOT be used to prove △DAB≅△BCD

AB = EC.If the above statement is true then mention answer as 1, else mention 0 if false

On the sides AB and AC of triangle ABC, equailateral triangle ABD and ACE are drawn, then ∠CAD=∠BAE If true then enter 1 and if false then enter 0

ABCD is a square. A is joined to a point on BC and D is joined to a point Q on AB. If AP=DQ; prove that AP and DQ are perpendicular to each other.

Learn with content

Take Toppr Scholastic Test for Aptitude and Reasoning

Win exciting scholarships and plan a great education plan

Without drawing the triangles write all size pairs of equal measures in each of the following pairs of congruent triangles.
$△ X Y Z ≅ △ M L N$

In the fig. If $∠ A B C = ∠ A E C$ & $A B = B C$ then $A E = 2 C A$ .

AD is an altitude of an isosceles triangles ABC in which AB $=$ AC. Show that AD bisects $∠$ A.

The diagonal from B to D is drawn in parallelogram ABCD. Which of the following methods can NOT be used to prove $△ D A B ≅ △ B C D$

AB = EC.
If the above statement is true then mention answer as 1, else mention 0 if false

On the sides AB and AC of triangle ABC, equailateral triangle ABD and ACE are drawn, then $∠ C A D = ∠ B A E$
If true then enter $1$ and if false then enter $0$

$A B C D$ is a square. $A$ is joined to a point on $B C$ and $D$ is joined to a point $Q$ on $A B$ . If $A P = D Q$ ; prove that $A P$ and $D Q$ are perpendicular to each other.