Question Bank -Geometry and Trigonometryt

Question 1C

Question Number 1

A B C AB = 5 units 60°

IN the above Triangle ABC , A is right angle and angle C is 60 degrees. side AB is 5 units .

Find other sides of the trianle.

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Intersecting Lines A B C D O 2x+30 x+45

Question Number 2)

In above diagram ,Find the angle value of X.

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Parallel Lines and Transverse Lines A B C D E F 3x+15 2x+25 y G H

Question Number 3)

In the above diagram line AB and CD are parallel and EF is the transverse

intersecting the parallel lines at G and H

Find the angle value of y

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Triangle ABC

Question Number 4)

In the above diagram Find angle Y

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Similar Triangles

Question Number5)

A B C 10 15 D E F 25 y

In the above diagram Triangles ABC and DEF are similar

Find the measure of the side DE

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Parallelogram with Diagonals

Question Number 6)

A B C D O ∠A 10 2x+3 3x-15

In the above diagram ABCD is parallelogram, with the smallest side is 10 units

find the the value of x

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Equilateral Triangle ABC with Line DF A B C D F

Question Number 7)

In the above diagram Triangle ABC is Equilateral. The line DF is parallel to BC

DF trisect the sides AB and AC

Find the area of the Quadrilateral in the above diagram

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Circle Diagram

Question Number8)

O A B D E x-2 x+1 x+1 x-3

In the above diagram find the perimeter of the circle

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Question Number 9)

Triangle ABC with Perpendicular AD A B C 2x+5 x+5 y 55 D

In the above triangle ABC . line AD is perpendicular to BC

find angles A,B and C of the Triangle

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Question Number10

Heptagon with Extended Sides A B C D E F G q p

In the above diagram p and q are angle measure of

exterior angle formed at Fand A.

find the measure of the difference of angle p and angle q

HINT: sum of interior angles in regular polygon = 180(n-2)

where n is the number of sides of the regular polygon

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Question Number11)

Line Intersection Visualization Line l Line m Line n A x+25 B y C 45

In the above diagram linel ,line m and line n intersects at thepoints

A, B and C as in diagram and ABC forms a Triangle

angle C is equalto 45 Degrees and Angle b is equalto y degreesone of the exterior angle of A as in the diagram is equal to (x+25)degrees

Find the differece of x and Y.