Column A Column B (i) Equilateral triangle, Isosceles triangle, Scalene triangle (a) ∆ ABC ≅ ∆ FDE (ii) In a right-triangle, Hypotenuse 2 = Sum of the squares of other two sides (b) Pythagoras theorem (iii) Acute-angled triangle, Obtuse-angled triangle, Right-angled triangle (c) ∆ ABC ≅ ∆ EFD (iv) In ∆ ABC and ∆ DEF , we have AB = FD , BC = DE , AC = FE , ∠ A = ∠ F . (d) Types of triangles on the basis on their sides. (v) In ∆ ABC and ∆ DEF , we have BC = FD , AC = ED and ∠ C = ∠ D . (e) Types of triangles on the basis of their angles.

We know that, An equilateral triangle has all the sides equal. An Isosceles triangle has two sides equal and the scalene triangle has all the sides different. Hence, (i) → ( d ) We know that, If the triangle is right angle triangle then by Pythagoras theorem, Hypotenuse 2 = Base 2 + Perpendicular 2 Thus, (ii) → ( b ) We know that, A triangle having all angles less than 90 o is known as acute angle. A triangle having angle greater than 90 o is known obtuse angle and a triangle in which one angle is 90 o is known as right angle triangle. Thus, (iii) → e Consider the figures and As, AB = FD , BC = DE , AC = FE and ∠ A = ∠ F Hence, by SSS test ∆ ABC ≅ ∆ FDE Thus, (iv) → ( a ) Consider the figure, and As BC = FD , AC = ED and ∠ C = ∠ D Hence, by SAS test ∆ ABC ≅ ∆ EFD Thus, (v) → ( c ) . Hence, we get Column A Answer (i) Equilateral triangle, Isosceles triangle, Scalene triangle (d) Types of triangles on the basis of their sides. (ii) In a right-triangle, Hypotenuse 2 = Sum of the squares of other two sides (b) Pythagoras theorem (iii) Acute-angled triangle, Obtuse-angled triangle, Right-angled triangle (e) Types of triangles on the basis of their angles. (iv) In ∆ ABC and ∆ DEF , we have AB = FD , BC = DE , AC = FE , ∠ A = ∠ F . (a) ∆ ABC ≅ ∆ FDE (v) In ∆ ABC and ∆ DEF , we have BC = FD , AC = ED and ∠ C = ∠ D . (c) ∆ ABC ≅ EFD

E M B I B E

Activity Plus in Mathematics>Chapter 4 - Geometry>Enrichment Exercise>Q B

MEDIUM

9th CBSE

IMPORTANT

Earn 100

Angles in the same segment of a circle are equal.

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Important Questions on Geometry

MEDIUM

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 4 - Geometry>Enrichment Exercise>Q B

Perpendicular from centre to the chord bisects the chord.

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 4 - Geometry>Enrichment Exercise>Q B

With the help of a ruler and compass, it is possible to construct an angle of

22.5 °

.

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 4 - Geometry>Enrichment Exercise>Q B

In a quadrilateral

A B C D

, if

A B = B C

and

C D = D A

, then the quadrilateral is a rhombus.

HARD

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 4 - Geometry>Enrichment Exercise>Q B

Diagonals of a square are perpendicular to each other.

MEDIUM

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 4 - Geometry>Enrichment Exercise>Q B

If a parallelogram and a rectangle have common base and have equal area then perimeter of the parallelogram is more than the perimeter of the rectangle.

MEDIUM

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 4 - Geometry>Enrichment Exercise>Q B

Area of a rhombus is equal to the product of its diagonals.

EASY

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 4 - Geometry>Enrichment Exercise>Q B

A line segment whose endpoints are on the circumference of a circle is called the chord of the circle.

HARD

9th CBSE

IMPORTANT

Activity Plus in Mathematics>Chapter 4 - Geometry>Enrichment Exercise>Q C

Column A	Column B
(i) Equilateral triangle, Isosceles triangle, Scalene triangle	(a) $∆ ABC ≅ ∆ FDE$
(ii) In a right-triangle, ${(Hypotenuse)}^{2} = (Sum of the squares of other two sides)$	(b) Pythagoras theorem
(iii) Acute-angled triangle, Obtuse-angled triangle, Right-angled triangle	(c) $∆ ABC ≅ ∆ EFD$
(iv) In $∆ ABC$ and $∆ DEF$ , we have $AB = FD, BC = DE, AC = FE, ∠ A = ∠ F$ .	(d) Types of triangles on the basis on their sides.
(v) In $∆ ABC$ and $∆ DEF$ , we have $BC = FD, AC = ED$ and $∠ C = ∠ D$ .	(e) Types of triangles on the basis of their angles.

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