Find the axis intercepts and gradient of the like with the equation 5x-2y=10.

x-intercept=2, y intercept= -5 and gradient = 5/2

x-intercept = 4, y-intercept = -4 and gradient - 6/9

x-intercept = 4, y-intercept = -32 and gradient - 64/1

x-intercept = 4, y-intercept = -8 and gradient - 6/9

x-intercept = 1, y-intercept = -8 and gradient - 62/3

Geometry Trivia Questions Test! Basic Quiz

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Questions: 5 | Attempts: 198 | Updated: Mar 20, 2023

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Geometry Trivia Questions Test! Basic Quiz - Quiz

Are you looking for some geometry trivia questions to help increase your ability to solve some of the common problems you will come across in the study? If you said yes, you are in luck as the quiz below is exactly what you need to refresh your memory. Give it a go and keep a lookout for other quizzes like it as practice makes perfect!

Questions and Answers

1.

Find the axis intercepts and gradient of the like with the equation 5x-2y=10.
- A.
  
  X-intercept = 4, y-intercept = -4 and gradient - 6/9
- B.
  
  X-intercept = 4, y-intercept = -32 and gradient - 64/1
- C.
  
  X-intercept = 4, y-intercept = -8 and gradient - 6/9
- D.
  
  X-intercept=2, y intercept= -5 and gradient = 5/2
- E.
  
  X-intercept = 1, y-intercept = -8 and gradient - 62/3
Correct Answer
D. X-intercept=2, y intercept= -5 and gradient = 5/2

Explanation
The equation of the line is 5x - 2y = 10. To find the x-intercept, we set y = 0 and solve for x: 5x - 2(0) = 10, which gives x = 2. Therefore, the x-intercept is 2. To find the y-intercept, we set x = 0 and solve for y: 5(0) - 2y = 10, which gives y = -5. Therefore, the y-intercept is -5. The gradient of the line is found by rearranging the equation to slope-intercept form (y = mx + b), where m is the gradient. In this case, we have -2y = -5x + 10, so y = (5/2)x - 5/2. Therefore, the gradient is 5/2.

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2.

Determine the equations of the following lines:a) gradient -3, y-intercept 4 b)through the points(-3,4) and (3,1).
- A.
  
  Y=3x+9
- B.
  
  Y= -3x+4
- C.
  
  Y= x+2
- D.
  
  Y= -7-6x
- E.
  
  Y=5x+4
Correct Answer
B. Y= -3x+4

Explanation
The equation of a line can be written in the form y = mx + b, where m represents the gradient and b represents the y-intercept. In this case, the gradient is given as -3 and the y-intercept is given as 4. Therefore, the equation of the line can be written as y = -3x + 4.

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3.

Find the distance between P(-4,7) and Q(-1,3).
- A.
  
  5 units
- B.
  
  8units
- C.
  
  15units
- D.
  
  12 units
- E.
  
  10units
Correct Answer
A. 5 units

Explanation
The distance between two points in a coordinate plane can be found using the distance formula: √((x2-x1)^2 + (y2-y1)^2). In this case, the x-coordinates are -4 and -1, and the y-coordinates are 7 and 3. Plugging these values into the distance formula, we get √((-1-(-4))^2 + (3-7)^2) = √(3^2 + (-4)^2) = √(9 + 16) = √25 = 5. Therefore, the distance between P(-4,7) and Q(-1,3) is 5 units.

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4.

The radius of a circle is 13cm and AB is a chord that is at a distance of 12cm from the center. The length of the ladder is:
- A.
  
  35 cm
- B.
  
  17.5 cm
- C.
  
  25 cm
- D.
  
  10 cm
Correct Answer
D. 10 cm

Explanation
In this question, we have a circle with a radius of 13cm and a chord AB that is 12cm away from the center. The length of the ladder can be determined by using the Pythagorean theorem. The distance from the center of the circle to the midpoint of the chord is the height of a right-angled triangle, and the distance from the midpoint of the chord to one end of the chord is the base of the triangle. By applying the Pythagorean theorem, we can find that the length of the ladder is 10cm.

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5.

Katie keeps her earrings in a beautiful glass case which has six sides. What is the name of a polygon with six sides?
- A.
  
  Octagon
- B.
  
  Hexagon
- C.
  
  Nonagon
- D.
  
  Quadrilateral
Correct Answer
B. Hexagon

Explanation
A polygon with six sides is called a hexagon.

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Mar 20, 2023

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Apr 12, 2010

Quiz Created by
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Geometry Trivia Questions Test! Basic Quiz

Find the axis intercepts and gradient of the like with the equation 5x-2y=10.

Determine the equations of the following lines:a) gradient -3, y-intercept 4 b)through the points(-3,4) and (3,1).

Find the distance between P(-4,7) and Q(-1,3).

The radius of a circle is 13cm and AB is a chord that is at a distance of 12cm from the center. The length of the ladder is:

Katie keeps her earrings in a beautiful glass case which has six sides. What is the name of a polygon with six sides?