Lesson G11
G11 solve geometrical problems on coordinate axes Quiz: Pearson Edexcel Maths, Unit 4
20 questions
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Lesson G11, solve geometrical problems on coordinate axes: 20 multiple choice questions for the Pearson Edexcel GCSE Maths (1MA1), Unit 4: Geometry and measures, written with Revision Ninja.
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The 20 questions
-
The midpoint of (x₁, y₁) and (x₂, y₂) is:
- (x₁ + x₂, y₁ + y₂)
- ((x₂ − x₁)/2, (y₂ − y₁)/2)
- (x₁ × x₂, y₁ × y₂)
- ((x₁ + x₂)/2, (y₁ + y₂)/2)
-
A line parallel to y = 3x − 2 has gradient:
- 3
- −3
- −1/3
- 2
-
A line perpendicular to y = 4x + 1 has gradient:
- −1/4
- 4
- −4
- 1/4
-
The y-intercept of y = 2x − 5 is at:
- (2, 0)
- (−5, 0)
- (0, 2)
- (0, −5)
-
The line x = 4 is:
- diagonal
- horizontal
- vertical
- through the origin
-
What type of straight line is represented by the equation y = −2?
- diagonal
- curved
- vertical
- horizontal
-
Which geometric theorem is used to find the distance between two coordinate points?
- Pythagoras
- Gradient
- Midpoint
- Thales
-
What must two distinct straight lines share to be parallel?
- same gradient
- negative gradient
- perpendicular gradient
- same intercept
-
What is the midpoint of (2, −3) and (8, 5)?
- (10, 2)
- (3, 4)
- (6, 8)
- (5, 1)
-
What is the distance between (−2, 1) and (4, 9)?
- 100
- 14
- 7
- 10
-
What is the equation of the line through (0, 4) and (2, 10)?
- y = 4x + 3
- y = 3x − 4
- y = 3x + 4
- y = 2x + 4
-
What is the equation of the line perpendicular to y = 2x + 1 that passes through (0, 5)?
- y = −2x + 5
- y = 0.5x + 5
- y = 2x + 5
- y = −0.5x + 5
-
A triangle has vertices (0, 0), (4, 0) and (0, 3). What is the length of its hypotenuse?
- 12
- 7
- √7
- 5
-
Lines y = 4x + 1 and 8x − 2y = 6 are:
- the same line
- intersecting at (0, 1)
- parallel
- perpendicular
-
The point (3, k) lies on the line y = 2x − 1. What is k?
- 2
- −5
- 7
- 5
-
What is the equation of the perpendicular bisector of the segment from A(0, 0) to B(6, 8)?
- y = −0.75x + 6.25
- y = 0.75x + 1.75
- y = 1.33x
- y = −0.75x + 4
-
Triangle A(1, 1), B(5, 1) and C(1, 4) has what area?
- 12
- 7.5
- 6
- 10
-
What is the geometric relationship between points A(1, 2), B(3, 6) and C(5, 10)?
- perpendicular
- collinear
- concentric
- parallel
-
A line y = mx + 3 passes through (2, 11). What is m?
- 2.5
- 14
- 7
- 4
-
A line from (1, 2) to (5, k) is parallel to y = 0.5x + 3. What is k?
- 8
- 6
- 3
- 4
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