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![Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board chapter 4 - Geometry - Shaalaa.com](/images/mathematics-term-2-english-class-7-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg "Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board chapter 4 - Geometry")
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Solutions for Chapter 4: Geometry
Below listed, you can find solutions for Chapter 4 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics - Term 2 [English] Class 7 TN Board.
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 4 Geometry Exercise 4.1 [Pages 73 - 75]
Can 30°, 60° and 90° be the angles of a triangle?
Can you draw a triangle with 25°, 65° and 80° as angles?
In the following triangle, find the value of x
In the following triangle, find the value of x
In the following triangle, find the value of x
In the following triangle, find the value of x
In the following triangle, find the value of x
In the following triangle, find the value of x
In the following triangle, find the value of x
In the following triangle, find the value of x
Two line segments `bar("AD")` and `bar("BC")` intersect at O. Joining `bar("AB")` and `bar("DC")` we get two triangles, ∆AOB and ∆DOC as shown in the figure. Find the ∠A and ∠B
Observe the figure and find the value of ∠A + ∠N + ∠G + ∠L + ∠E + ∠S
If the three angles of a triangle are in the ratio 3 : 5 : 4, then find them
In ∆RST, ∠S is 10° greater than ∠R and ∠T is 5° less than ∠S, find the three angles of the triangle
In ∆ABC, if ∠B is 3 times ∠A and ∠C is 2 times ∠A, then find the angle
In ∆XYZ, if ∠X : ∠Z is 5 : 4 and ∠Y = 72°. Find ∠X and ∠Z
In a right angled triangle ABC, ∠B is right angle, ∠A is x + 1 and ∠C is 2x + 5. Find ∠A and ∠C
In a right angled triangle MNO, ∠N = 90°, MO is extended to P. If ∠NOP = 128°, find the other two angles of ∆MNO
Find the value of x in the given triangle
Find the value of x in the given triangle
In ∆LMN, MN is extended to O. If ∠MLN = 100 – x, ∠LMN = 2x and ∠LNO = 6x – 5, find the value of x
Using the given figure find the value of x.
Using the diagram find the value of x.
Objective type questions
The angles of a triangle are in the ratio 2 : 3 : 4. Then the angles are
20, 30, 40
40, 60, 80
80, 20, 80
10, 15, 20
One of the angles of a triangle is 65°. If the difference of the other two angles is 45°, then the two angles are
85°, 40°
70°, 25°
80°, 35°
80°, 135°
In the given figure, AB is parallel to CD. Then the value of b is
112°
68°
102°
62°
In the given figure, which of the following statement is true?
x + y + z = 180°
x + y + z = a + b + c
x + y + z = 2(a + b + c)
x + y + z = 3(a + b + c)
An exterior angle of a triangle is 70° and two interior opposite angles are equal. Then measure of each of these angle will be
110°
120°
35°
60°
In a ∆ABC, AB = AC. The value of x is ________
80°
100°
130°
120°
If an exterior angle of a triangle is 115° and one of the interior opposite angles is 35°, then the other two angles of the triangle are
45°, 60°
65°, 80°
65°, 70°
115°, 60°
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 4 Geometry Exercise 4.2 [Pages 83 - 86]
Given that ∆ABC ≅ ∆DEF List all the corresponding congruent sides
Given that ∆ABC ≅ ∆DEF List all the corresponding congruent angles
If the given two triangles are congruent, then identify all the corresponding sides and also write the congruent angles
If the given two triangles are congruent, then identify all the corresponding sides and also write the congruent angles
If the given triangles ΔABC and ΔEFG are congruent, determine whether the given pair of sides and angles are corresponding sides or corresponding angles or not
∠A and ∠G
If the given triangles ΔABC and ΔEFG are congruent, determine whether the given pair of sides and angles are corresponding sides or corresponding angles or not
∠B and ∠E
If the given triangles ΔABC and ΔEFG are congruent, determine whether the given pair of sides and angles are corresponding sides or corresponding angles or not
∠B and ∠G
If the given triangles ΔABC and ΔEFG are congruent, determine whether the given pair of sides and angles are corresponding sides or corresponding angles or not
`bar("AC")` and `bar("GF")`
If the given triangles ΔABC and ΔEFG are congruent, determine whether the given pair of sides and angles are corresponding sides or corresponding angles or not
`bar("BA")` and `bar("FG")`
If the given triangles ΔABC and ΔEFG are congruent, determine whether the given pair of sides and angles are corresponding sides or corresponding angles or not
`bar("EF")` and `bar("BC")`
State whether the two triangles are congruent or not. Justify your answer
State whether the two triangles are congruent or not. Justify your answer
State whether the two triangles are congruent or not. Justify your answer
State whether the two triangles are congruent or not. Justify your answer
State whether the two triangles are congruent or not. Justify your answer
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
For the given pair of triangles state the criterion that can be used to determine the congruency?
For the given pair of triangles state the criterion that can be used to determine the congruency?
For the given pair of triangles state the criterion that can be used to determine the congruency?
For the given pair of triangles state the criterion that can be used to determine the congruency?
For the given pair of triangles state the criterion that can be used to determine the congruency?
For the given pair of triangles state the criterion that can be used to determine the congruency?
Construct a triangle XYZ with the given conditions.
XY = 6.4 cm, ZY = 7.7 cm and XZ = 5 cm
Construct a triangle XYZ with the given conditions.
An equilateral triangle of side 7.5 cm
Construct a triangle XYZ with the given conditions.
An isosceles triangle with equal sides 4.6 cm and third side 6.5 cm
Construct a triangle ABC with given conditions.
AB = 7 cm, AC = 6.5 cm and ∠A = 120°
Construct a triangle XYZ with the given conditions.
BC = 8 cm, AC = 6 cm and ∠C = 40°
Construct a triangle XYZ with the given conditions.
An isosceles obtuse triangle with equal sides 5 cm
Construct a triangle PQR with given conditions.
∠P = 60°, ∠R = 35° and PR = 7.8 cm
Construct a triangle PQR with given conditions.
∠P = 115°, ∠Q = 40° and PQ = 6 cm
Construct a triangle PQR with given conditions.
∠Q = 90°, ∠R = 42° and QR = 5.5 cm
Objective type questions
If two plane figures are congruent then they have
same size
same shape
same angle
same shape and same size
Which of the following methods are used to check the congruence of plane figures?
translation method
superposition method
substitution method
transposition method
Which of the following rule is not sufficient to verify the congruency of two triangles
SSS rule
SAS rule
SSA rule
ASA rule
Two students drew a line segment each. What is the condition for them to be congruent?
They should be drawn with a scale
They should be drawn on the same sheet of paper
They should have different lengths
They should have the same length
In the given figure, AD = CD and AB = CB. Identify the other three pairs that are equal
∠ADB = ∠CDB, ∠ABD = ∠CBD, BD = BD
AD = AB, DC = CB, BD = BD
AB = CD, AD = BC, BD = BD
∠ADB = ∠CDB, ∠ABD = ∠CBD, ∠DAB = ∠DBC
In ∆ABC and ∆PQR, ∠A = 50° = ∠P, PQ = AB, and PR = AC. By which property ∆ABC and ∆PQR are congruent?
SSS property
SAS property
ASA property
RHS property
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 4 Geometry Exercise 4.3 [Pages 86 - 87]
Miscellaneous Practice problems
In an isosceles triangle one angle is 76°. If the other two angles are equal find them
If two angles of a triangle are 46° each, how can you classify the triangle?
If an angle of a triangle is equal to the sum of the other two angles, find the type of the triangle
If the exterior angle of a triangle is 140° and its interior opposite angles are equal, find all the interior angles of the triangle
In ∆JKL, if ∠J = 60° and ∠K = 40°, then find the value of exterior angle formed by extending the side KL
Find the value of ‘x’ in the given figure
If ∆MNO ≅ ∆DEF, ∠M = 60° and ∠E = 45° then find the value of ∠O
In the given figure ray AZ bisects ∠BAD and ∠DCB, prove that ∆BAC ≅ ∆DAC
In the given figure ray AZ bisects ∠BAD and ∠DCB, prove that AB = AD
In the given figure FG = FI and H is midpoint of GI, prove that ∆FGH ≅ ∆FHI
Using the given figure, prove that the triangles are congruent. Can you conclude that AC is parallel to DE
Challenge Problems
In the given figure BD = BC, find the value of x
In the given figure find the value of x
In the given figure find the values of x and y
In ∆DEF, ∠F = 48°, ∠E = 68° and bisector of ∠D meets FE at G. Find ∠FGD
In the figure find the value of x
From the given figure find the value of y
Solutions for 4: Geometry
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board chapter 4 - Geometry
Shaalaa.com has the Tamil Nadu Board of Secondary Education Mathematics Mathematics - Term 2 [English] Class 7 TN Board Tamil Nadu Board of Secondary Education solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Samacheer Kalvi solutions for Mathematics Mathematics - Term 2 [English] Class 7 TN Board Tamil Nadu Board of Secondary Education 4 (Geometry) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in Mathematics - Term 2 [English] Class 7 TN Board chapter 4 Geometry are Concept of Triangles, Classification of Triangles (On the Basis of Sides, and of Angles), Classification of Triangles based on Sides- Equilateral, Isosceles, Scalene, Exterior Angle of a Triangle and Its Property, Congruence Among Line Segments, Congruence of Plane Figures, Congruence of Angles, Congruence of Triangles, SSS Congruence Criterion, SAS Congruence Criterion, ASA Congruence Criterion, RHS Congruence Criterion, Classification of Triangles based on Angles: Acute-Angled, Right-Angled, Obtuse-Angled, Angle Sum Property of a Triangle, Congruence of Triangles, Congruency of Shapes, Criteria for Congruence of Triangles, Classification of Triangles based on Sides- Equilateral, Isosceles, Scalene.
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