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Geometry Practice Question and Answer

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Q:
In the figure, XYZ is a secant. and ZT is a tangent to the circle at T. If TZ = 12 cm and YZ = 8 cm, then find the length of XY.

499 0

1
6 cm
Correct
Wrong
2
9 cm
Correct
Wrong
3
10 cm
Correct
Wrong
4
8 cm
Correct
Wrong

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Answer : 3. "10 cm "

Q:
What is the ASA congruence rule of triangles, where A and S represents angle and side of triangle respectively?
498 0

1
Two triangles are said to be congruent if any pair of 2 angles and any 1 pair of sides of both the triangles are equal.
Correct
Wrong
2
Two triangles are said to be congruent if all three sides of both the triangles are equal.
Correct
Wrong
3
Two triangles are said to be congruent if 2 angles and the included side of one triangle are equal to 2 angles and the included side of the other triangle
Correct
Wrong
4
Two triangles are said to be congruent if 2 sides and the included angle of one triangle are equal to 2 sides and the included angle of the other triangle.
Correct
Wrong

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Answer : 3. "Two triangles are said to be congruent if 2 angles and the included side of one triangle are equal to 2 angles and the included side of the other triangle"

Q:
In △ABC, D and E are points on sides AB and AC, such that DE||BC. If AD=x+3, DB=2x-3, AE=x+1 and EC=2x-2, then the value of x is
488 0

1
Correct
Wrong
2
Correct
Wrong
3
Correct
Wrong
4
Correct
Wrong

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Answer : 3. ""

Q:
If C₁, C₂ be the centres of rwo circles and r₁, r₂ be the respective radii such that the distance between the centres is equal to the sum of the radii of the two circles, find the number of common tangents.
507 0

1
4
Correct
Wrong
2
3
Correct
Wrong
3
2
Correct
Wrong
4
1
Correct
Wrong

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Answer : 2. "3"

Q:
If△ABC ∼ △EDF such that AB = 6 cm, DF = 16 cm and DE = 8 cm, then the length of BC is:
445 0

1
8 cm
Correct
Wrong
2
10 cm
Correct
Wrong
3
12 cm
Correct
Wrong
4
14 cm
Correct
Wrong

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Answer : 3. "12 cm "

Q:
An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠CBD=40⁰. Find the measure of ∠BCD.
559 0

1
50⁰
Correct
Wrong
2
50⁰
Correct
Wrong
3
20⁰
Correct
Wrong
4
30⁰
Correct
Wrong

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Answer : 3. "
20⁰
"

Q:
In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is
677 0

1
120°
Correct
Wrong
2
60°
Correct
Wrong
3
30°
Correct
Wrong
4
90°
Correct
Wrong

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Answer : 4. "90°"

Q:
The measure of an angle whose supplement is three times as large as its complement, is
469 0

1
75°
Correct
Wrong
2
30°
Correct
Wrong
3
45°
Correct
Wrong
4
60°
Correct
Wrong

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Geometry Practice Question and Answer

Q: In the figure, XYZ is a secant. and ZT is a tangent to the circle at T. If TZ = 12 cm and YZ = 8 cm, then find the length of XY. 499 064871fbabf323e479aa74cc6

Answer : 3. "10 cm "

Q: What is the ASA congruence rule of triangles, where A and S represents angle and side of triangle respectively? 498 06481883062f8ada03553507f

Answer : 3. "Two triangles are said to be congruent if 2 angles and the included side of one triangle are equal to 2 angles and the included side of the other triangle"

Q: In △ABC, D and E are points on sides AB and AC, such that DE||BC. If AD=x+3, DB=2x-3, AE=x+1 and EC=2x-2, then the value of x is 488 0648044cce72c4684a1e52f47

Answer : 3. ""

Q: If C1, C2 be the centres of rwo circles and r1, r2 be the respective radii such that the distance between the centres is equal to the sum of the radii of the two circles, find the number of common tangents. 507 0647f583723e51f477702a746

Answer : 2. "3"

Q: If△ABC ∼ △EDF such that AB = 6 cm, DF = 16 cm and DE = 8 cm, then the length of BC is: 445 0647f3490f4063d472f2cd287

Answer : 3. "12 cm "

Q: An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠CBD=400. Find the measure of ∠BCD. 559 0646ca53983ab324a70656daa

Answer : 3. "200"

Q: In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is 677 0645ce24ef75f230a7a678cb9

Answer : 4. "90°"

Q: The measure of an angle whose supplement is three times as large as its complement, is 469 06464a968c899b466f45025f5

Answer : 3. "45° "

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Q:
In the figure, XYZ is a secant. and ZT is a tangent to the circle at T. If TZ = 12 cm and YZ = 8 cm, then find the length of XY.

499 0

Q:
What is the ASA congruence rule of triangles, where A and S represents angle and side of triangle respectively?
498 0

Q:
In △ABC, D and E are points on sides AB and AC, such that DE||BC. If AD=x+3, DB=2x-3, AE=x+1 and EC=2x-2, then the value of x is
488 0

Q:
If C₁, C₂ be the centres of rwo circles and r₁, r₂ be the respective radii such that the distance between the centres is equal to the sum of the radii of the two circles, find the number of common tangents.
507 0

Q:
If△ABC ∼ △EDF such that AB = 6 cm, DF = 16 cm and DE = 8 cm, then the length of BC is:
445 0

Q:
An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor are BC and ∠CBD=40⁰. Find the measure of ∠BCD.
559 0

Answer : 3. "
20⁰
"

Q:
In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is
677 0

Q:
The measure of an angle whose supplement is three times as large as its complement, is
469 0