Cyclic Quadrilateral Quiz: Test!

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| By Fateenzawana15

Fateenzawana15

Community Contributor

Quizzes Created: 1 | Total Attempts: 793

Questions: 8 | Attempts: 793 | Updated: Mar 21, 2023

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Dive into the Cyclic Quadrilateral Quiz: Test! This quiz assesses key geometric concepts, focusing on cyclic quadrilaterals. It tests understanding of angles in triangles and quadrilaterals, identification of cyclic quadrilaterals, and calculation of specific angle values. Essential for enhancing geometric reasoning skills.

Questions and Answers

1.

How many degrees are in a triangle?
- A.
  
  90
- B.
  
  360
- C.
  
  180
Correct Answer
C. 180

Explanation
All angles in a triangle add up to 180 degrees.

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1
2.

Which one are a Cyclic Quadrilaterals?
- A.
  
  Option 1
- B.
  
  Option 2
- C.
  
  Option 3
- D.
  
  Option 4
Correct Answer
C. Option 3

Explanation
Cyclic quadrilaterals are quadrilaterals that can be inscribed in a circle, meaning that all four vertices of the quadrilateral lie on the circumference of a circle. Since the question asks for a cyclic quadrilateral, the correct answer would be Option 3.

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3.

What is the sum of the opposite interior angles?
- A.
  
  90
- B.
  
  180
- C.
  
  270
- D.
  
  360
Correct Answer
B. 180

Explanation
The sum of opposite interior angles in a polygon is always 180 degrees. This is a well-known geometric property that applies to all polygons, regardless of the number of sides. Therefore, the correct answer is 180.

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4.

Which one is the right answer?
- A.
  
  P=36 q=60
- B.
  
  P=60 q=45
- C.
  
  P=45 q=60
- D.
  
  P=36 q=45
Correct Answer
C. P=45 q=60

Explanation
The correct answer is p=45 q=60 because it matches the given values of p and q in the question. The other options have either incorrect values for p or q.

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5.

What is the value of b and c?
- A.
  
  B=95 c=100
- B.
  
  B=100 c=90
- C.
  
  B=90 c=110
- D.
  
  B=110 c=95
Correct Answer
D. B=110 c=95

Explanation
The given answer states that the value of b is 110 and the value of c is 95. This means that b is greater than c.

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1
6.

Find the value of x,y, and z.
- A.
  
  X=70 y=80 z=95
- B.
  
  X=80 y=73 z=90
- C.
  
  X=73 y=85 z=93
- D.
  
  x=73 y=85 z=95
Correct Answer
D. x=73 y=85 z=95
7.

The diagram below shows a cyclic quadrilateral /PQRS and a straight line RST. Calculate the value of /PST.
- A.
  
  150
- B.
  
  120
- C.
  
  50
- D.
  
  30
Correct Answer
B. 120

Explanation
In a cyclic quadrilateral, opposite angles are supplementary, meaning they add up to 180 degrees. In this case, angle PST and angle PQR are opposite angles. Since angle PQR is given as 150 degrees, angle PST must be 180 degrees minus 150 degrees, which equals 30 degrees. However, the question asks for the value of angle /PST, which is the same as angle PST. Therefore, the value of /PST is 30 degrees.

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1
8.

Is the answer below true or false?
- A.
  
  True
- B.
  
  False
Correct Answer
A. True

Explanation
The answer "True" is correct because it aligns with the given options of "True" and "False". Without any additional context or information, it is impossible to determine the specific subject or topic to which this answer refers. However, within the given options, "True" is the correct choice.

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2