Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca13f59b460d7261ea7a.png' />
From the above image, find angle x.
Question 2 :
Which angle is included between the sides $\overline{DE}$ and $\overline{EF}$ of $\triangle DEF$?
Question 3 :
Is it possible to have a triangle with 2 cm, 3 cm, 5 cm?
Question 4 :
If $ \triangle DEF \cong \triangle BCA$, write the part of $ \triangle BCA$ that correspond to $\overline {EF}$ .
Question 5 : <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 6 :
Two poles of 10 cm and 15 cm stand upright on a plane ground. If the distance between the tops is 13 cm, find the distance between their feet.
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c94cf59b460d7261e979.png' />
Can you, now, say if the biscuits in the same packet are congruent or not?
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c958f59b460d7261e989.png' />
In the above image, AB = AC and AD is the bisector of $ \angle BAC$. Is $ \triangle ADB \cong \triangle ADC$?
Question 9 :
Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by ASA congruence rule.
In triangle DEF, $\angle D = 60^{\circ}$, $\angle F = 80^{\circ}$, DF = 6 cm
In triangle PQR,$\angle Q = 60^{\circ}$, $\angle R = 80^{\circ}$, QP = 6 cm
Question 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb18f59b460d7261ebd4.png' />
In the above figure, PQR is a triangle and D is the midpoint of $\overleftrightarrow{QR}$. Now, $\overleftrightarrow{PM}$ is ______.
Question 11 :
Is the sum of any two angles of a triangle always greater than or equal to the third angle?
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 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca3ef59b460d7261eab7.png' />
From the above image, ABCD is quadrilateral. Is AB + BC + CD + DA < 2 (AC + BD)?
Question 15 :
Can you have a triangle with all the three angles greater than 60º?
Question 16 :
What is the side opposite to the vertex Q of $\Delta $POQ?
Question 17 : <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 18 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb19f59b460d7261ebd6.png' />
In the above figure, find the value of the unknown exterior angle x.
Question 19 : <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 $\angle DCB$. State the pairs of equal parts in triangles BAC and DAC.
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c94ff59b460d7261e97d.png' />
In the above image, AD = CD and AB = CB. State the pairs of equal parts in $ \triangle ABD$ and $ \triangle CBD$.
Question 21 :
Determine whether the triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a right-angled triangle.
Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c978f59b460d7261e9ae.png' />
If $\triangle ABC$ and $\triangle PQR$ are to be congruent, name one additional pair of corresponding parts.
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca1cf59b460d7261ea87.png' />
From the above image, find angle x.
Question 24 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c93af59b460d7261e960.png' />
In the above figure, PS is the bisector of ∠P and PQ = PR. Then ∆PRS and ∆PQS are congruent by the criterion
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca32f59b460d7261eaa7.png' />
From the above image, find the value of the unknown x.
Question 26 :
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 27 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb20f59b460d7261ebdf.png' />
In the above figure, find the value of the unknown x.
Question 28 :
Are all the altitudes and median same for an equilateral triangle?
Question 29 :
You want to establish $\triangle DEF \cong \triangle MNP$, using the ASA congruence rule. You are given that $\angle D = \angle M$ and $\angle F = \angle P$. What information is needed to establish the congruence?
Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca3cf59b460d7261eab4.png' />
From the above image, take any point O in the interior of a triangle PQR. Is OQ + OR > QR?
