Question Bank for 7th Class Mathematics The Triangle and its Properties The Triangle and Its Properties - Studyadda.com (2024)

question_answer1) Find the measure of the angle x in the given figure.

A)

\[{{50}^{o}}\]

B)

\[{{70}^{o}}\]

C)

\[{{60}^{o}}\]

D)

\[{{30}^{o}}\]

question_answer2) Which of the following options is INCORRECT?

A)

\[\angle 1=\angle 3\]

B)

\[\angle 1+\angle 4+\angle 5={{180}^{o}}\]

C)

\[\angle 8=\angle 6\]

D)

\[\angle 1+\angle 3={{180}^{o}}\]

question_answer3) In the figure (not drawn to scale), ADF and BEF are triangles and EC = ED, find y.

A)

\[{{90}^{o}}\]

B)

\[{{91}^{o}}\]

C)

\[{{92}^{o}}\]

D)

\[{{93}^{o}}\]

question_answer4) In a \[\Delta ABC,\]which of the given condition holds?

A)

\[AB-BC>CA\]

B)

\[AB+BC<CA\]

C)

\[AB-BC<CA\]

D)

\[AB+CA<BC\]

question_answer5) In the figure (not drawn to scale), ABC is an equilateral triangle and ABD is an isosceles triangle with DA = DB, find x.

A)

\[{{14}^{o}}\]

B)

\[{{16}^{o}}\]

C)

\[{{12}^{o}}\]

D)

\[{{32}^{o}}\]

question_answer6) ABC is an isosceles triangle with AB = AC and AD is altitude, then ____.

A)

\[\angle B>\angle C\]

B)

\[\angle B<\angle C\]

C)

\[\angle B=\angle C\]

D)

None of these

question_answer7) In the figure (not drawn to scale), ABCD is a square, ADE is an equilateral triangle and BFE is a straight line, find y.

A)

\[{{90}^{o}}\]

B)

\[{{45}^{o}}\]

C)

\[{{75}^{o}}\]

D)

\[{{15}^{o}}\]

question_answer8) Find the measure of the angle x in the given figure.

A)

\[{{72}^{o}}\]

B)

\[{{82}^{o}}\]

C)

\[{{90}^{o}}\]

D)

\[{{40}^{o}}\]

question_answer9) The given figure shows three identical squares. Find x.

A)

\[{{30}^{o}}\]

B)

\[{{27}^{o}}\]

C)

\[{{36}^{o}}\]

D)

\[{{16}^{o}}\]

question_answer10) In the figure (not drawn to scale), EFA is a right-angled triangle with \[\angle EFA={{90}^{o}}\]and FGB is an equilateral triangle, find \[y-2x.\]

A)

\[{{2}^{o}}\]

B)

\[{{8}^{o}}\]

C)

\[{{17}^{o}}\]

D)

\[{{20}^{o}}\]

question_answer11) In the figure (not drawn to scale), ABC and DEF are two triangles, CA is parallel to FD and CFBE is a straight line. Find the value of\[x+y\].

A)

\[{{185}^{o}}\]

B)

\[{{134}^{o}}\]

C)

\[{{148}^{o}}\]

D)

\[{{176}^{o}}\]

question_answer12) In a \[\Delta ABC,\]if \[AB+BC=10\text{ }cm,\] \[BC+CA=12\text{ }cm,\]\[CA+AB=16\text{ }cm,\] then the perimeter of the triangle is ____.

A)

\[19\,cm\]

B)

\[17\,cm\]

C)

\[28\,cm\]

D)

\[22\,cm\]

question_answer13) In the figure, not drawn to scale, ACDF is a rectangle and BDE is a triangle. Find \[\angle BED\]

A)

\[{{42}^{o}}\]

B)

\[{{52}^{o}}\]

C)

\[{{128}^{o}}\]

D)

\[{{134}^{o}}\]

question_answer14) In the figure, ABCD is a rectangle, \[\Delta CEF\]is an equilateral triangle. Find x.

A)

\[{{25}^{o}}\]

B)

\[{{30}^{o}}\]

C)

\[{{20}^{o}}\]

D)

\[{{50}^{o}}\]

question_answer15) Find the measure of \[\angle LNM\]in the given figure.

A)

\[{{30}^{o}}\]

B)

\[{{80}^{o}}\]

C)

\[{{70}^{o}}\]

D)

\[{{60}^{o}}\]

question_answer16) A 26 m long ladder reached a window 24 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.

A)

\[10\,m\]

B)

\[20\,m\]

C)

\[5\,m\]

D)

\[25\,m\]

question_answer17) A tree is broken at a height of 5 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree.

A)

\[20\,m\]

B)

\[36\,m\]

C)

\[18\,m\]

D)

\[25\,m\]

question_answer18) Aryan wants to plant a flower on the ground in the form of a rhombus. The diagonals of the rhombus measures 42 cm and 56 cm. Find the perimeter of the field.

A)

\[150\text{ }cm\]

B)

\[140\text{ }cm\]

C)

\[130\,cm\]

D)

\[120\,cm\]

question_answer19) A 34 m long ladder reached a window 16 m from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.

A)

\[40\text{ }m\]

B)

\[30\text{ }m\]

C)

\[50\,m\]

D)

\[10\,m\]

question_answer20) Mrs Kaushik gives a problem to her students. Find the perimeter of a rectangle whose length is 28 cm and diagonal is 35 cm. What will be the correct answer?

A)

90 cm

B)

45 cm

C)

89 cm

D)

98 cm

question_answer21) If y is five times of x, find the values of x, y and z.

A)

B)

C)

D)

question_answer22) State T for true and T' for false. (i) In the given right-angled triangle; \[ABC,\text{ }\angle B={{65}^{o}},\text{ }\angle C={{25}^{o}},\]then \[A{{B}^{2}}=B{{C}^{2}}+C{{A}^{2}}\]. (ii) The length of the third side of a triangle cannot be smaller than the difference of the lengths of any two sides. (iii) A triangle can have only one median.

A)

B)

C)

D)

question_answer23) Fill in the blanks. (i) The line segment joining a vertex of a triangle to the midpoint of its opposite side is called a P of the triangle. (ii) The perpendicular line segment from a vertex of a triangle to its opposite side is called an Q of the triangle. (iii) A triangle has R altitudes and S medians.

A)

B)

C)

D)

question_answer24) Which of the following statements is TRUE? Statement 1: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. Statement 2: If P is a point on the side BC of \[\Delta ABC\]. Then \[(AB+BC+AC)>2AP\]

A)

Only Statement-1

B)

Only Statement-2

C)

Both Statement-1 and Statement-2

D)

Neither Statement-1 nor Statement-2

question_answer25) Find the values of x and y respectively.

A)

\[{{47}^{o}},\,{{66}^{o}}\]

B)

\[{{66}^{o}},{{48}^{o}}\]

C)

\[{{68}^{o}},{{47}^{o}}\]

D)

\[{{47}^{o}},{{68}^{o}}\]