Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca31f59b460d7261eaa5.png' />
From the above image, find the value of the unknown interior angle x.
Question 2 :
If $ \triangle DEF \cong \triangle BCA$, write the part of $ \triangle BCA$ that correspond to $\angle E$ .
Question 3 :
What is the side included between the angles M and N of $\triangle MNP$?
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c951f59b460d7261e980.png' />
In the above image, lengths of the sides of the triangles are indicated. By applying the SSS congruence rule, state whether the pair of triangles are congruent or not.
Question 5 :
The six elements of triangle ABC are $\overline{AB}$, $\overline{BC}$, $\overline{CA}$, $\angle BAC$, $\angle ABC$, $\angle BCA$. Is the statement true?
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb15f59b460d7261ebd0.png' />
In the above figure, ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, find BC.
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb09f59b460d7261ebc1.png' />
In the above figure, ABCD is quadrilateral. Is AB + BC + CD + DA > AC + BD?
Question 8 :
Write the side opposite to the vertex Q of triangle PQR .
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca39f59b460d7261eab0.png' />
From the above image, find the values of the unknowns x and y.
Question 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca78f59b460d7261eb03.png' />
In the above image, we want to show that ΔART $\cong$ ΔPEN, if it is given that $\angle T = \angle N$ and we are to use SAS criterion we need to have RT = _____.
Question 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c95bf59b460d7261e98c.png' />
The measures of some parts of the triangles are indicated in the above image. By applying SAS congruence rule, state whether the pair of triangles are congruent or not.
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb0ff59b460d7261ebc8.png' />
In the above figure, find the value of the unknown x and y.
Question 13 :
Measurements of two triangles are given below. Examine whether the two triangles are congruent or not, by using SAS congruence rule.
In $\triangle ABC$ , AB = 4.5 cm, AC = 4 cm, , $ \angle A = 60^{\circ}$
In $\triangle DEF$, DE = 4 cm, FD = 4.5 cm, $ \angle D = 55^{\circ}$
Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a9d78c526e972caefd8.png' />
In the above image, ray AZ bisects $\angle DAB$ as well as $\angle DCB$. Is CD = CB?
Question 16 :
Which one of the following is not a criterion for congruence of two triangles?
Question 18 :
Is the sum of any two angles of a triangle always greater than or equal to the third angle?
Question 19 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb16f59b460d7261ebd1.png' />
In the above figure, find the value of the unknown exterior angle x.
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c966f59b460d7261e99a.png' />
In the above image, measures of some parts of triangles are given. By applying RHS congruence rule, state whether the pair of triangles are congruent or not.
Question 21 :
Write the angle opposite to the side LM of triangle LMN .
Question 22 :
ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, find BC.
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c971f59b460d7261e9a6.png' />
Which congruence criterion do you use in the following?(see the above image) Given: EB = DB,AE = BC,$\angle A = \angle C = 90^{\circ}$. So, $\triangle ABE \cong \triangle CDB$.
Question 24 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c954f59b460d7261e983.png' />
In the above image, lengths of the sides of the triangles are indicated. By applying the SSS congruence rule, state whether the pair of triangles are congruent or not.
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb10f59b460d7261ebc9.png' />
In the above figure, find the value of the unknown exterior angle x.
Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb13f59b460d7261ebcd.png' />
In the above figure, find the value of the unknown interior angle x.
Question 27 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca27f59b460d7261ea96.png ' />
From the above image, in triangle PQR, D is the mid-point of QR. Is QM = MR?
Question 28 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c930f59b460d7261e952.png' />
In the above figure, Observe and state the three pairs of equal parts in triangles ABC and DBC.Is ∆ABC ≅ ∆DCB?
Question 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca32f59b460d7261eaa6.png' />
From the above image, find the value of the unknown interior angle x .
Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c935f59b460d7261e958.png' />
In the above figure, QS ⊥ PR, RT ⊥ PQ and QS = RT. Is ∆ QSR ≅ ∆ RTQ?
Question 31 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb0af59b460d7261ebc2.png' />
In the above figure, a 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a m. Find the distance of the foot of the ladder from the wall.
Question 32 :
Can you have a triangle with all the three angles equal to 60º?
Question 33 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb1ff59b460d7261ebde.png' />
In the above figure, find the value of the unknown x.
Question 34 :
It is to be established by RHS congruence rule that $\triangle ABC \cong \triangle RPQ$. What additional information is needed, if it is given that $\angle B = \angle P = 90^{\circ}$ and AB = RP?
Question 35 :
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.
Question 36 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c976f59b460d7261e9ac.png' />
From the above image is $\triangle BCA \cong \triangle BTA $?
Question 37 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca37f59b460d7261eaad.png' />
From the above image, find the values of the unknowns x and y.
Question 38 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca3ff59b460d7261eab8.png' />
From the above image, a 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.
Question 39 :
Is there a triangle whose sides have lengths 10.2 cm, 5.8 cm and 4.5 cm?
Question 40 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca40f59b460d7261eab9.png' />
From the above image, angles Q and R of a ∆PQR are 25º and 65º. Which of the following is true?
Question 41 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca2bf59b460d7261ea9c.png' />
From the above image, find the value of the unknown exterior angle x .
Question 42 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb1cf59b460d7261ebda.png' />
In the above figure, find the value of the unknown interior angle x.
Question 43 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb12f59b460d7261ebcc.png' />
In the above figure, find the value of the unknown exterior angle x.
Question 44 :
If ΔDEF $\cong$ ΔBCA, write the part of ΔBCA that correspond to $\overline{EF}$ is _____.
Question 45 :
If $ \triangle DEF \cong \triangle BCA$, write the part of $ \triangle BCA$ that correspond to $\overline {DF}$ is
Question 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c967f59b460d7261e99c.png' />
In the above image, BD and CE are altitudes of $\triangle ABC$ such that BD = CE. State the pairs of equal parts in $\triangle CBD$ and $\triangle BCE$.
Question 47 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c968f59b460d7261e99d.png' />
In the above image, BD and CE are altitudes of $\triangle ABC$ such that BD = CE. Is $ \triangle CBD \cong \triangle BCE$?
Question 48 :
Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, using RHS congruence rule.
In triangle ABC, $\angle B = 90^{\circ}$, AC = 8 cm, AB = 3 cm
In triangle PQR,$\angle P = 90^{\circ}$, PR = 3 cm, QR = 8 cm
Question 49 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca16f59b460d7261ea7f.png' />
In the above image, find $m \angle P$.
