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. In triangle DEF, if DE = 6, DF = 8, and EF = 10, what type of triangle is it?
  • A. Acute
  • B. Obtuse
  • C. Right
  • D. Equilateral
Q. In triangle DEF, if DE = 6, EF = 8, and DF = 10, is triangle DEF a right triangle?
  • A. Yes
  • B. No
  • C. Not enough information
  • D. Only if angle D is 90 degrees
Q. In triangle DEF, if DE = 8 cm, EF = 6 cm, and DF = 10 cm, is triangle DEF a right triangle?
  • A. Yes
  • B. No
  • C. Cannot be determined
  • D. Only if angle D is 90 degrees
Q. In triangle DEF, if DE = 8 cm, EF = 6 cm, and DF = 10 cm, what is the area of the triangle?
  • A. 24 cm²
  • B. 30 cm²
  • C. 36 cm²
  • D. 48 cm²
Q. In triangle DEF, if DE = 8 cm, EF = 6 cm, and DF = 10 cm, what type of triangle is DEF?
  • A. Equilateral
  • B. Isosceles
  • C. Scalene
  • D. Right
Q. In triangle GHI, if angle G = 30 degrees and angle H = 60 degrees, what is the length of side GH if side GI = 10 cm?
  • A. 5 cm
  • B. 8.66 cm
  • C. 10 cm
  • D. 12 cm
Q. In triangle GHI, if angle G = 30° and angle H = 45°, what is the measure of angle I?
  • A. 105°
  • B. 90°
  • C. 75°
  • D. 60°
Q. In triangle GHI, if angle G = 30° and angle H = 60°, what is the length of side g opposite angle G if side h opposite angle H is 10 units?
  • A. 5
  • B. 8.66
  • C. 10
  • D. 12
Q. In triangle GHI, if angle G = 30° and angle H = 70°, what is the measure of angle I?
  • A. 80°
  • B. 60°
  • C. 50°
  • D. 40°
Q. In triangle GHI, if angle G = 45 degrees and angle H = 45 degrees, what type of triangle is it?
  • A. Scalene
  • B. Isosceles
  • C. Equilateral
  • D. Right
Q. In triangle GHI, if angle G = 50 degrees and angle H = 70 degrees, what is the length of side GH if side GI = 10 cm?
  • A. 5 cm
  • B. 10 cm
  • C. 15 cm
  • D. 20 cm
Q. In triangle GHI, if angle G = 70° and angle H = 40°, what is the measure of angle I?
  • A. 70°
  • B. 60°
  • C. 50°
  • D. 30°
Q. In triangle GHI, if angle G is 45 degrees and angle H is 45 degrees, what type of triangle is it?
  • A. Scalene
  • B. Isosceles
  • C. Equilateral
  • D. Right
Q. In triangle GHI, if angle G is 45 degrees and side GH is 5 cm, what is the length of side HI if triangle GHI is a right triangle?
  • A. 5 cm
  • B. 5√2 cm
  • C. 10 cm
  • D. 2.5 cm
Q. In triangle GHI, if GH = 12 cm, HI = 16 cm, and GI = 20 cm, is triangle GHI a right triangle?
  • A. Yes
  • B. No
  • C. Only if angle G is 90 degrees
  • D. Only if angle H is 90 degrees
Q. In triangle GHI, if GH = 12 cm, HI = 16 cm, and GI = 20 cm, what is the area of triangle GHI using Heron's formula?
  • A. 96 cm²
  • B. 96√3 cm²
  • C. 48 cm²
  • D. 64 cm²
Q. In triangle GHI, if GH = 12 cm, HI = 16 cm, and GI = 20 cm, what is the area of triangle GHI?
  • A. 48 cm²
  • B. 96 cm²
  • C. 60 cm²
  • D. 80 cm²
Q. In triangle GHI, if GH = 5 cm, HI = 12 cm, and GI = 13 cm, is triangle GHI a right triangle?
  • A. Yes
  • B. No
  • C. Not enough information
  • D. Only if angle G is 90 degrees
Q. In triangle GHI, if GH = 5 cm, HI = 12 cm, and GI = 13 cm, what type of triangle is it?
  • A. Acute
  • B. Obtuse
  • C. Right
  • D. Equilateral
Q. In triangle GHI, if GH = 7 cm, HI = 10 cm, and GI = 5 cm, is triangle GHI a right triangle?
  • A. Yes
  • B. No
  • C. Only if angle G is 90 degrees
  • D. Only if angle H is 90 degrees
Q. In triangle GHI, if GH = 7 cm, HI = 10 cm, and GI = 5 cm, which side is the longest?
  • A. GH
  • B. HI
  • C. GI
  • D. All sides are equal
Q. In triangle GHI, if GH = 7 cm, HI = 24 cm, and GI = 25 cm, is triangle GHI a right triangle?
  • A. Yes
  • B. No
  • C. Not enough information
  • D. Only if angle G is 90 degrees
Q. In triangle GHI, if GH = 8, HI = 6, and GI = 10, is triangle GHI a right triangle?
  • A. Yes
  • B. No
  • C. Not enough information
  • D. Only if angle G is 90 degrees
Q. In triangle GHI, if GH = 9 cm, HI = 12 cm, and GI = 15 cm, is triangle GHI a right triangle?
  • A. Yes
  • B. No
  • C. Cannot be determined
  • D. Only if angle G is 90 degrees
Q. In triangle JKL, if angle J = 80° and angle K = 50°, what is angle L?
  • A. 50°
  • B. 60°
  • C. 70°
  • D. 80°
Q. In triangle JKL, if angle J = 90° and angle K = 45°, what is the measure of angle L?
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. In triangle JKL, if JK = 12 cm, KL = 16 cm, and JL = 20 cm, what is the perimeter of the triangle?
  • A. 28 cm
  • B. 36 cm
  • C. 40 cm
  • D. 48 cm
Q. In triangle JKL, if JK = 12 cm, KL = 16 cm, and JL = 20 cm, what is the semi-perimeter of the triangle?
  • A. 24 cm
  • B. 28 cm
  • C. 30 cm
  • D. 32 cm
Q. In triangle JKL, if JK = 12 cm, KL = 16 cm, and JL = 20 cm, what type of triangle is it?
  • A. Acute
  • B. Obtuse
  • C. Right
  • D. Equilateral
Q. In triangle JKL, if JK = 5 cm, KL = 12 cm, and JL = 13 cm, is triangle JKL a right triangle?
  • A. Yes
  • B. No
  • C. Not enough information
  • D. Only if angle J is 90 degrees
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