Lines & Angles- Case Based Type Questions - Free with solutions Class 9
MCQ Practice Test & Solutions: Test: Lines & Angles- Case Based Type Questions (10 Questions)
You can prepare effectively for Class 9 Class 9: Additional Practice with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Lines & Angles- Case Based Type Questions". These 10 questions have been designed by the experts with the latest curriculum of Class 9 2026, to help you master the concept.
Test Highlights:
- - Format: Multiple Choice Questions (MCQ)
- - Duration: 20 minutes
- - Number of Questions: 10
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Direction: BSE stands for a disease called Bovine Spongiform Encephalopathy. “Bovine” means that the disease affects cows, “spongiform” refers to the way the brain from a sick cow looks spongy under a microscope, and “encephalopathy” indicates that it is a disease of the brain. This disease is commonly called “mad cow disease.”
A farmer has a field ABCD formed by two pair of parallel roads as shown below in which l ||m and p || q. His four cows suffering from BSE. Thus, he tied them at four corners of the field ABCD.
Q. If ∠BAC = 30°, find ∠ACD.
Detailed Solution: Question 1
Direction: BSE stands for a disease called Bovine Spongiform Encephalopathy. “Bovine” means that the disease affects cows, “spongiform” refers to the way the brain from a sick cow looks spongy under a microscope, and “encephalopathy” indicates that it is a disease of the brain. This disease is commonly called “mad cow disease.”
A farmer has a field ABCD formed by two pair of parallel roads as shown below in which l ||m and p || q. His four cows suffering from BSE. Thus, he tied them at four corners of the field ABCD.
Q. ∠ABC + ∠BCD = 180° as :
Detailed Solution: Question 2
Direction: BSE stands for a disease called Bovine Spongiform Encephalopathy. “Bovine” means that the disease affects cows, “spongiform” refers to the way the brain from a sick cow looks spongy under a microscope, and “encephalopathy” indicates that it is a disease of the brain. This disease is commonly called “mad cow disease.”
A farmer has a field ABCD formed by two pair of parallel roads as shown below in which l ||m and p || q. His four cows suffering from BSE. Thus, he tied them at four corners of the field ABCD.
Q. If cow at C and cow at D is 2 km apart, then what is the distance between cow at A and cow at B?
Detailed Solution: Question 3
Direction: BSE stands for a disease called Bovine Spongiform Encephalopathy. “Bovine” means that the disease affects cows, “spongiform” refers to the way the brain from a sick cow looks spongy under a microscope, and “encephalopathy” indicates that it is a disease of the brain. This disease is commonly called “mad cow disease.”
A farmer has a field ABCD formed by two pair of parallel roads as shown below in which l ||m and p || q. His four cows suffering from BSE. Thus, he tied them at four corners of the field ABCD.
Q. If ∠B = 45°, then ∠D = _________ .
Detailed Solution: Question 4
Direction: BSE stands for a disease called Bovine Spongiform Encephalopathy. “Bovine” means that the disease affects cows, “spongiform” refers to the way the brain from a sick cow looks spongy under a microscope, and “encephalopathy” indicates that it is a disease of the brain. This disease is commonly called “mad cow disease.”
A farmer has a field ABCD formed by two pair of parallel roads as shown below in which l ||m and p || q. His four cows suffering from BSE. Thus, he tied them at four corners of the field ABCD.
Q. If we join BD such that BD meet AC at O and ∠BOC = 30°, then what is the measure of ∠AOD?
Detailed Solution: Question 5
Direction: A plane mirror is a mirror with a flat reflective surface.
An incident ray is a ray of light that strikes a surface. The reflected ray corresponding to a given incident ray, is the ray that represents the light reflected by the surface. In figure, m and n are two plane mirrors perpendicular to each other.
Q. Parallel lines :
Detailed Solution: Question 6
Direction: A plane mirror is a mirror with a flat reflective surface.
An incident ray is a ray of light that strikes a surface. The reflected ray corresponding to a given incident ray, is the ray that represents the light reflected by the surface. In figure, m and n are two plane mirrors perpendicular to each other.
Q. If BO = 3 cm, AB = 5 cm then, AO =
Detailed Solution: Question 7
Direction: A plane mirror is a mirror with a flat reflective surface.
An incident ray is a ray of light that strikes a surface. The reflected ray corresponding to a given incident ray, is the ray that represents the light reflected by the surface. In figure, m and n are two plane mirrors perpendicular to each other.
Q. Which statement is incorrect ?
Detailed Solution: Question 8
Direction: A plane mirror is a mirror with a flat reflective surface.
An incident ray is a ray of light that strikes a surface. The reflected ray corresponding to a given incident ray, is the ray that represents the light reflected by the surface. In figure, m and n are two plane mirrors perpendicular to each other.
Q. ∠DBA + ∠BAC
Detailed Solution: Question 9
Direction: A plane mirror is a mirror with a flat reflective surface.
An incident ray is a ray of light that strikes a surface. The reflected ray corresponding to a given incident ray, is the ray that represents the light reflected by the surface. In figure, m and n are two plane mirrors perpendicular to each other.
Q. Incident ray CA is :
Detailed Solution: Question 10
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