Angles and Parallel Lines Angles and Parallel Lines - Applications Angles and Parallel Lines - Case Studies Angles and Parallel Lines - Coordinate Geometry Applications Angles and Parallel Lines - Coordinate Geometry Applications - Applications Angles and Parallel Lines - Coordinate Geometry Applications - Case Studies Angles and Parallel Lines - Coordinate Geometry Applications - Problem Set Angles and Parallel Lines - Problem Set Angles and Parallel Lines - Problems on Circles Angles and Parallel Lines - Problems on Circles - Applications Angles and Parallel Lines - Problems on Circles - Case Studies Angles and Parallel Lines - Problems on Circles - Problem Set Angles and Parallel Lines - Problems on Triangles Angles and Parallel Lines - Problems on Triangles - Applications Angles and Parallel Lines - Problems on Triangles - Case Studies Angles and Parallel Lines - Problems on Triangles - Problem Set Angles and Parallel Lines - Proof-based Questions Angles and Parallel Lines - Proof-based Questions - Applications Angles and Parallel Lines - Proof-based Questions - Case Studies Angles and Parallel Lines - Proof-based Questions - Problem Set Basic Geometric Concepts Basic Geometric Concepts - Applications Basic Geometric Concepts - Case Studies Basic Geometric Concepts - Coordinate Geometry Applications Basic Geometric Concepts - Coordinate Geometry Applications - Applications Basic Geometric Concepts - Coordinate Geometry Applications - Case Studies Basic Geometric Concepts - Coordinate Geometry Applications - Problem Set Basic Geometric Concepts - Problem Set Basic Geometric Concepts - Problems on Circles Basic Geometric Concepts - Problems on Circles - Applications Basic Geometric Concepts - Problems on Circles - Case Studies Basic Geometric Concepts - Problems on Circles - Problem Set Basic Geometric Concepts - Problems on Triangles Basic Geometric Concepts - Problems on Triangles - Applications Basic Geometric Concepts - Problems on Triangles - Case Studies Basic Geometric Concepts - Problems on Triangles - Problem Set Basic Geometric Concepts - Proof-based Questions Basic Geometric Concepts - Proof-based Questions - Applications Basic Geometric Concepts - Proof-based Questions - Case Studies Basic Geometric Concepts - Proof-based Questions - Problem Set Circles - Theorems and Properties Circles - Theorems and Properties - Applications Circles - Theorems and Properties - Case Studies Circles - Theorems and Properties - Coordinate Geometry Applications Circles - Theorems and Properties - Coordinate Geometry Applications - Applications Circles - Theorems and Properties - Coordinate Geometry Applications - Case Studies Circles - Theorems and Properties - Coordinate Geometry Applications - Problem Set Circles - Theorems and Properties - Problem Set Circles - Theorems and Properties - Problems on Circles Circles - Theorems and Properties - Problems on Circles - Applications Circles - Theorems and Properties - Problems on Circles - Case Studies Circles - Theorems and Properties - Problems on Circles - Problem Set Circles - Theorems and Properties - Problems on Triangles Circles - Theorems and Properties - Problems on Triangles - Applications Circles - Theorems and Properties - Problems on Triangles - Case Studies Circles - Theorems and Properties - Problems on Triangles - Problem Set Circles - Theorems and Properties - Proof-based Questions Circles - Theorems and Properties - Proof-based Questions - Applications Circles - Theorems and Properties - Proof-based Questions - Case Studies Circles - Theorems and Properties - Proof-based Questions - Problem Set Coordinate Geometry - Distance and Section Formula Coordinate Geometry - Distance and Section Formula - Applications Coordinate Geometry - Distance and Section Formula - Case Studies Coordinate Geometry - Distance and Section Formula - Coordinate Geometry Applications Coordinate Geometry - Distance and Section Formula - Coordinate Geometry Applications - Applications Coordinate Geometry - Distance and Section Formula - Coordinate Geometry Applications - Case Studies Coordinate Geometry - Distance and Section Formula - Coordinate Geometry Applications - Problem Set Coordinate Geometry - Distance and Section Formula - Problem Set Coordinate Geometry - Distance and Section Formula - Problems on Circles Coordinate Geometry - Distance and Section Formula - Problems on Circles - Applications Coordinate Geometry - Distance and Section Formula - Problems on Circles - Case Studies Coordinate Geometry - Distance and Section Formula - Problems on Circles - Problem Set Coordinate Geometry - Distance and Section Formula - Problems on Triangles Coordinate Geometry - Distance and Section Formula - Problems on Triangles - Applications Coordinate Geometry - Distance and Section Formula - Problems on Triangles - Case Studies Coordinate Geometry - Distance and Section Formula - Problems on Triangles - Problem Set Coordinate Geometry - Distance and Section Formula - Proof-based Questions Coordinate Geometry - Distance and Section Formula - Proof-based Questions - Applications Coordinate Geometry - Distance and Section Formula - Proof-based Questions - Case Studies Coordinate Geometry - Distance and Section Formula - Proof-based Questions - Problem Set Mensuration of 2D Shapes Mensuration of 2D Shapes - Applications Mensuration of 2D Shapes - Case Studies Mensuration of 2D Shapes - Coordinate Geometry Applications Mensuration of 2D Shapes - Coordinate Geometry Applications - Applications Mensuration of 2D Shapes - Coordinate Geometry Applications - Case Studies Mensuration of 2D Shapes - Coordinate Geometry Applications - Problem Set Mensuration of 2D Shapes - Problem Set Mensuration of 2D Shapes - Problems on Circles Mensuration of 2D Shapes - Problems on Circles - Applications Mensuration of 2D Shapes - Problems on Circles - Case Studies Mensuration of 2D Shapes - Problems on Circles - Problem Set Mensuration of 2D Shapes - Problems on Triangles Mensuration of 2D Shapes - Problems on Triangles - Applications Mensuration of 2D Shapes - Problems on Triangles - Case Studies Mensuration of 2D Shapes - Problems on Triangles - Problem Set Mensuration of 2D Shapes - Proof-based Questions Mensuration of 2D Shapes - Proof-based Questions - Applications Mensuration of 2D Shapes - Proof-based Questions - Case Studies Mensuration of 2D Shapes - Proof-based Questions - Problem Set Quadrilaterals and Polygons Quadrilaterals and Polygons - Applications Quadrilaterals and Polygons - Case Studies Quadrilaterals and Polygons - Coordinate Geometry Applications Quadrilaterals and Polygons - Coordinate Geometry Applications - Applications Quadrilaterals and Polygons - Coordinate Geometry Applications - Case Studies Quadrilaterals and Polygons - Coordinate Geometry Applications - Problem Set Quadrilaterals and Polygons - Problem Set Quadrilaterals and Polygons - Problems on Circles Quadrilaterals and Polygons - Problems on Circles - Applications Quadrilaterals and Polygons - Problems on Circles - Case Studies Quadrilaterals and Polygons - Problems on Circles - Problem Set Quadrilaterals and Polygons - Problems on Triangles Quadrilaterals and Polygons - Problems on Triangles - Applications Quadrilaterals and Polygons - Problems on Triangles - Case Studies Quadrilaterals and Polygons - Problems on Triangles - Problem Set Quadrilaterals and Polygons - Proof-based Questions Quadrilaterals and Polygons - Proof-based Questions - Applications Quadrilaterals and Polygons - Proof-based Questions - Case Studies Quadrilaterals and Polygons - Proof-based Questions - Problem Set Similarity and Trigonometry Basics Similarity and Trigonometry Basics - Applications Similarity and Trigonometry Basics - Case Studies Similarity and Trigonometry Basics - Coordinate Geometry Applications Similarity and Trigonometry Basics - Coordinate Geometry Applications - Applications Similarity and Trigonometry Basics - Coordinate Geometry Applications - Case Studies Similarity and Trigonometry Basics - Coordinate Geometry Applications - Problem Set Similarity and Trigonometry Basics - Problem Set Similarity and Trigonometry Basics - Problems on Circles Similarity and Trigonometry Basics - Problems on Circles - Applications Similarity and Trigonometry Basics - Problems on Circles - Case Studies Similarity and Trigonometry Basics - Problems on Circles - Problem Set Similarity and Trigonometry Basics - Problems on Triangles Similarity and Trigonometry Basics - Problems on Triangles - Applications Similarity and Trigonometry Basics - Problems on Triangles - Case Studies Similarity and Trigonometry Basics - Problems on Triangles - Problem Set Similarity and Trigonometry Basics - Proof-based Questions Similarity and Trigonometry Basics - Proof-based Questions - Applications Similarity and Trigonometry Basics - Proof-based Questions - Case Studies Similarity and Trigonometry Basics - Proof-based Questions - Problem Set Triangles - Properties and Congruence Triangles - Properties and Congruence - Applications Triangles - Properties and Congruence - Case Studies Triangles - Properties and Congruence - Coordinate Geometry Applications Triangles - Properties and Congruence - Coordinate Geometry Applications - Applications Triangles - Properties and Congruence - Coordinate Geometry Applications - Case Studies Triangles - Properties and Congruence - Coordinate Geometry Applications - Problem Set Triangles - Properties and Congruence - Problem Set Triangles - Properties and Congruence - Problems on Circles Triangles - Properties and Congruence - Problems on Circles - Applications Triangles - Properties and Congruence - Problems on Circles - Case Studies Triangles - Properties and Congruence - Problems on Circles - Problem Set Triangles - Properties and Congruence - Problems on Triangles Triangles - Properties and Congruence - Problems on Triangles - Applications Triangles - Properties and Congruence - Problems on Triangles - Case Studies Triangles - Properties and Congruence - Problems on Triangles - Problem Set Triangles - Properties and Congruence - Proof-based Questions Triangles - Properties and Congruence - Proof-based Questions - Applications Triangles - Properties and Congruence - Proof-based Questions - Case Studies Triangles - Properties and Congruence - Proof-based Questions - Problem Set
Q. A square has a side length of 4 m. What is its area?
  • A. 8 m²
  • B. 12 m²
  • C. 16 m²
  • D. 20 m²
Q. A tangent to a circle is drawn from a point outside the circle. If the distance from the point to the center of the circle is 10 cm and the radius of the circle is 6 cm, what is the length of the tangent?
  • A. 8 cm
  • B. 10 cm
  • C. 12 cm
  • D. 14 cm
Q. A tangent to a circle is drawn from a point outside the circle. If the radius of the circle is 3 cm and the distance from the center to the point is 5 cm, what is the length of the tangent?
  • A. 4 cm
  • B. 6 cm
  • C. 5 cm
  • D. 3 cm
Q. A trapezoid has bases of lengths 10 cm and 6 cm, and a height of 4 cm. What is its area?
  • A. 32 cm²
  • B. 40 cm²
  • C. 24 cm²
  • D. 28 cm²
Q. A triangle has a base of 10 cm and a height of 6 cm. What is its area?
  • A. 30 cm²
  • B. 60 cm²
  • C. 20 cm²
  • D. 50 cm²
Q. A triangle has an area of 30 cm² and a base of 10 cm. What is the height?
  • A. 6 cm
  • B. 5 cm
  • C. 3 cm
  • D. 4 cm
Q. A triangle has an area of 48 cm² and a base of 8 cm. What is the height?
  • A. 12 cm
  • B. 6 cm
  • C. 8 cm
  • D. 10 cm
Q. A triangle has an area of 50 cm² and a base of 10 cm. What is the height?
  • A. 5 cm
  • B. 10 cm
  • C. 8 cm
  • D. 12 cm
Q. A triangle has angles measuring 30°, 60°, and 90°. If the shortest side is 5 cm, what is the area?
  • A. 12.5 cm²
  • B. 15 cm²
  • C. 10 cm²
  • D. 20 cm²
Q. A triangle has angles measuring 50 degrees and 60 degrees. What is the measure of the third angle?
  • A. 70 degrees
  • B. 80 degrees
  • C. 90 degrees
  • D. 100 degrees
Q. A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. Is it a right triangle?
  • A. Yes
  • B. No
  • C. Cannot be determined
  • D. Only if angles are known
Q. A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. Is this triangle a right triangle?
  • A. Yes
  • B. No
  • C. Cannot be determined
  • D. Only if angles are known
Q. A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. What is its area?
  • A. 84 cm²
  • B. 96 cm²
  • C. 70 cm²
  • D. 120 cm²
Q. A triangle has sides of lengths 9 cm, 12 cm, and 15 cm. Is it a right triangle?
  • A. Yes
  • B. No
  • C. Cannot be determined
  • D. Only if angles are known
Q. A triangle has two sides measuring 6 cm and 8 cm. If the included angle is 60 degrees, what is the area of the triangle?
  • A. 24 cm²
  • B. 18 cm²
  • C. 20 cm²
  • D. 30 cm²
Q. A triangle has two sides measuring 8 cm and 15 cm. If the angle between them is 60 degrees, what is the area of the triangle?
  • A. 60 cm²
  • B. 30 cm²
  • C. 40 cm²
  • D. 70 cm²
Q. A triangle has two sides measuring 8 cm and 15 cm. If the included angle is 60 degrees, what is the area of the triangle?
  • A. 60 cm²
  • B. 30 cm²
  • C. 40 cm²
  • D. 70 cm²
Q. A triangle has vertices at (0, 0), (4, 0), and (0, 3). What is its area?
  • A. 6 cm²
  • B. 12 cm²
  • C. 8 cm²
  • D. 10 cm²
Q. A triangle has vertices at (1, 2), (4, 6), and (1, 6). What is the area of the triangle?
  • A. 6 cm²
  • B. 8 cm²
  • C. 10 cm²
  • D. 12 cm²
Q. A triangle is inscribed in a circle of radius 5 cm. What is the maximum area of the triangle?
  • A. 12.5 cm²
  • B. 25 cm²
  • C. 20 cm²
  • D. 15 cm²
Q. Find the coordinates of the point that divides the line segment joining (1, 2) and (4, 6) in the ratio 1:2.
  • A. (2, 3)
  • B. (3, 4)
  • C. (1.5, 3.5)
  • D. (2.5, 4)
Q. Find the coordinates of the point that divides the line segment joining (3, 4) and (9, 10) in the ratio 1:1.
  • A. (6, 7)
  • B. (5, 6)
  • C. (4, 5)
  • D. (7, 8)
Q. Find the coordinates of the point that divides the segment joining (1, 2) and (3, 4) in the ratio 1:3.
  • A. (2, 3)
  • B. (1.5, 2.5)
  • C. (2.5, 3.5)
  • D. (3, 4)
Q. Find the coordinates of the point that divides the segment joining (1, 2) and (3, 8) in the ratio 1:3.
  • A. (2, 6)
  • B. (2.5, 5)
  • C. (2, 5)
  • D. (3, 5)
Q. Find the coordinates of the point that divides the segment joining (1, 2) and (3, 4) in the ratio 2:1.
  • A. (2, 3)
  • B. (2.67, 3.33)
  • C. (2.5, 3.5)
  • D. (3, 4)
Q. Find the coordinates of the point that divides the segment joining (1, 2) and (5, 6) in the ratio 2:1.
  • A. (3, 4)
  • B. (4, 5)
  • C. (2, 3)
  • D. (5, 5)
Q. Find the coordinates of the point that divides the segment joining (2, 3) and (4, 7) in the ratio 1:3.
  • A. (3, 5)
  • B. (2.5, 4)
  • C. (3.5, 5.5)
  • D. (3, 6)
Q. Find the coordinates of the point that divides the segment joining (2, 3) and (8, 7) in the ratio 1:3.
  • A. (5, 5)
  • B. (4, 5)
  • C. (6, 5)
  • D. (3, 4)
Q. Find the distance between the points (-1, -1) and (2, 3).
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. Find the midpoint of the line segment joining the points (1, 2) and (5, 6).
  • A. (3, 4)
  • B. (4, 3)
  • C. (2, 5)
  • D. (5, 2)
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