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CAT Exam  >  CAT Tests  >  Olympiad Test: Practical Geometry - CAT MCQ

Olympiad Test: Practical Geometry - CAT MCQ


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20 Questions MCQ Test - Olympiad Test: Practical Geometry

Olympiad Test: Practical Geometry for CAT 2024 is part of CAT preparation. The Olympiad Test: Practical Geometry questions and answers have been prepared according to the CAT exam syllabus.The Olympiad Test: Practical Geometry MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Olympiad Test: Practical Geometry below.
Solutions of Olympiad Test: Practical Geometry questions in English are available as part of our course for CAT & Olympiad Test: Practical Geometry solutions in Hindi for CAT course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Olympiad Test: Practical Geometry | 20 questions in 20 minutes | Mock test for CAT preparation | Free important questions MCQ to study for CAT Exam | Download free PDF with solutions
Olympiad Test: Practical Geometry - Question 1
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A parallelogram whose all sides are equal is called ________.

Detailed Solution for Olympiad Test: Practical Geometry - Question 1

A quadrilateral whose opposite sides are parallel is called parallelogram.
An equilateral quadrilateral i.e. the one with all sides equal is rhombus. 
Hence, a parallelogram whose sides are equal is called rhombus.

Olympiad Test: Practical Geometry - Question 2
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What do we require to construct a quadrilateral if lengths of three sides are given?

Detailed Solution for Olympiad Test: Practical Geometry - Question 2

So we start with one of the diagonal ,say, AC, from point C we draw a line segment of given length, and from point A we draw the second given length in the same direction which intersect at D, from D we draw an arc of the length of second diagonal and from point C we draw arc of the given third length and cut the previous arc. Name the arc as B. join all the points.

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Olympiad Test: Practical Geometry - Question 3
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What do we require to construct a quadrilateral if measures of two adjacent angles are given?

Detailed Solution for Olympiad Test: Practical Geometry - Question 3

We first draw a line segment from A to B, then draw an angle at B and then extend it to the given second length making it C and then again draw an angle at C and extend it to the given third length and marking the end as D and joining A and D.

Olympiad Test: Practical Geometry - Question 4
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What do we require to construct a quadrilateral if lengths of four sides are given?
Detailed Solution for Olympiad Test: Practical Geometry - Question 4

Because you start by drawing a diagonal only, so length of one diagonal is needed.

Olympiad Test: Practical Geometry - Question 5
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What do we require to construct a quadrilateral if measures of three angles are given?
Olympiad Test: Practical Geometry - Question 6
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What do we require to construct a square?
Olympiad Test: Practical Geometry - Question 7
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What do we require to construct a rectangle?
Olympiad Test: Practical Geometry - Question 8
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How many measurements can determine a quadrilateral uniquely?
Detailed Solution for Olympiad Test: Practical Geometry - Question 8

We need 5 measurements such as 4 sides and 1 diagonal, or 3 sides and 2 diagonals or 2 sides and 3 angles

Olympiad Test: Practical Geometry - Question 9
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A quadrilateral can be constructed uniquely if the lengths of its ______ sides and a diagonal are given.
Olympiad Test: Practical Geometry - Question 10
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A quadrilateral can be constructed uniquely if the lengths of its four sides and ____ diagonal are given.
Olympiad Test: Practical Geometry - Question 11
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A quadrilateral can be constructed uniquely if its two diagonals and _____ sides are known.
Olympiad Test: Practical Geometry - Question 12
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A quadrilateral can be constructed uniquely if its ____ diagonals and three sides are known.
Olympiad Test: Practical Geometry - Question 13
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A quadrilateral can be constructed uniquely if its ____ adjacent sides and three angles are known.
Olympiad Test: Practical Geometry - Question 14
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A quadrilateral can be constructed uniquely if its _____ sides and two included angles are given.
Olympiad Test: Practical Geometry - Question 15
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A quadrilateral can be constructed uniquely if its two adjacent sides and ____ angles are known.
Olympiad Test: Practical Geometry - Question 16
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A quadrilateral can be constructed uniquely if its three sides and _____ included angles are given.
Olympiad Test: Practical Geometry - Question 17
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A rhombus cannot be drawn if
Olympiad Test: Practical Geometry - Question 18
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A parallelogram must be a rectangle if its diagonals 
Olympiad Test: Practical Geometry - Question 19
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To construct a quadrilateral uniquely, it is necessary to know at least_________ of its parts.
Olympiad Test: Practical Geometry - Question 20
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Which property is true for all trapezoids?
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