Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 4

MEDIUM

9th ICSE

IMPORTANT

Earn 100

Prove that the median on the equal side of an isosceles $△$ are equal.

Important Questions on Geometry

EASY

9th ICSE

IMPORTANT

Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 5

If the bisector of an angle of a triangle also bisects the opposite side. Prove that the triangle is isosceles.

HARD

9th ICSE

IMPORTANT

Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 6

In the adjoining figure,

A B = A C = A D

. Prove that

∠ B C D

is a right angle.

HARD

9th ICSE

IMPORTANT

Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 7

In

△ A B C

,

A B = A C

,

∠ A = (5 x + 20) °

and each of the base angle is

\frac{2}{5}

th of

∠ A

. Find

∠ A

.

MEDIUM

9th ICSE

IMPORTANT

Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 8

In a

△ A B C

,

A B = A C

,

B A

is produced to

D

and

A E

is drawn to bisect

∠ D A C

. Prove that

A E ∥ B C

.

MEDIUM

9th ICSE

IMPORTANT

Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 9

In the adjoining figure, $D$ is a point on the side $B C$ of $△ A B C$ such that $A D = A C$ . Show that $A B > A D$ .
Question Image

MEDIUM

9th ICSE

IMPORTANT

Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 10

Prove that the sum of the three altitudes of a triangle is less than the sum of the three sides of the triangle.

MEDIUM

9th ICSE

IMPORTANT

Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 11

In the adjoining figure, $D$ is any point on the side $B C$ of a $△ A B C$ . Prove that $A B + B C + C A > 2 A D$ .
Question Image

MEDIUM

9th ICSE

IMPORTANT

Mathematics>Chapter 4 - Geometry>TEST YOUR SKILLS>Q 12

In a right triangle, prove that the hypotenuse is the greatest side.