In a ∆ XYZ , if ∠ X = 90 ° a n d ∠ Z = 48 ° , find &ang; Y .

given ∠ X = 90 ° a n d ∠ Z = 48 ° Sum of the angles of any triangle is 180°. In ∆ XYZ : ∠ X + ∠ Y + ∠ Z = 180 ° 90 ° + ∠ Y + 48 ° = 180 ° ∠ Y = 180 ° - 138 ° = 42 ° Thus the value of ∠ Y is determined.

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Vinita represented the triangle in different way as

$ ∆$DEF, $ ∆$EFD, $ ∆$FDE, $ ∆$DFE, $ ∆$EDF, $ ∆$FED.

Is she right or wrong?

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Important Questions on Basic Geometrical Ideas

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

In the given figure, find the number of triangles and name them.

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EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

One of the acute angles of a right triangle is

36 °

. find the other.

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

In a

∆ A B C

, if

∠ A = 72 ° a n d ∠ B = 63 °

, find

∠ C .

HARD

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

Identify the number of triangles in the figures. Name the type of triangles.

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EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

Find the angles of a triangle which are in the ratio

4 : 3 : 2

MEDIUM

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

In a

∆ A B C

, if

2 ∠ A = 3 ∠ B = 6 ∠ C

, calculate

∠ A, ∠ B

and

∠ C

MEDIUM

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

Draw a rough sketch of a triangle

ABC

. Name its sides, vertices, and angles. Draw all the medians of the triangle.

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

Draw a

∆ A B C

. Take a point $D$ on

B C .

Join $A D$ . How many triangles do you get? Name them.

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

The acute angles of a right triangle are in the ratio

2 : 1

. Find each of these angles.

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

Can a triangle have two right angles?

MEDIUM

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

Find the number of triangles in the given figure.

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EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

Can an isosceles triangle be a right triangle?

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

In the given figure,

D E | | B C . I f ∠ A = 65 ° a n d ∠ B ° = 55

, find

∠ A D E

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

In the given figure, find the triangles with vertex $E$ .

Question Image

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

In a ∆XYZ, if

∠ X = 90 ° a n d ∠ Z = 48 °

, find ∠Y.

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

What is the measure of each angle of an equilateral triangle?

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

Draw a rough sketch of a triangle

A B C .

Mark a point

P

in its interior and a point

Q

in its exterior. Is the point

A

in its exterior or in its interior?

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

A triangle may have four vertices.

MEDIUM

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

Each of the two equal angles of an isosceles triangle is twice the third angle. Find the angles of the triangle.

EASY

Mathematics>Geometry>Basic Geometrical Ideas>Triangles

Explain the following term:
Interior of a triangle

Vinita represented the triangle in different way as $ ∆$DEF, $ ∆$EFD, $ ∆$FDE, $ ∆$DFE, $ ∆$EDF, $ ∆$FED. Is she right or wrong?

Important Questions on Basic Geometrical Ideas

Learn and Prepare for any exam you want !

Vinita represented the triangle in different way as

$ ∆$DEF, $ ∆$EFD, $ ∆$FDE, $ ∆$DFE, $ ∆$EDF, $ ∆$FED.

Is she right or wrong?