Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca38f59b460d7261eaae.png' />
From the above image, find the values of the unknowns x and y.
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c953f59b460d7261e982.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 3 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c95af59b460d7261e98b.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 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca36f59b460d7261eaac.png' />
From the above image, find the value of the unknown x.
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca35f59b460d7261eaab.png' />
From the above image, find the value of the unknown x .
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c931f59b460d7261e953.png' />
In the above figure, Observe and state the three pairs of equal parts in triangles ABC and DBC.Is AB = DC?
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c956f59b460d7261e986.png' />
From the above image,AB = AC and D is the mid-point of $\overline {BC}$.Is $ \angle B = \angle C$ ?
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca1df59b460d7261ea88.png' />
From the above image, find angle x.
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca27f59b460d7261ea97.png' />
From the above image, in triangle ABC, is BE a median?
Question 10 : <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 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca29f59b460d7261ea9a.png ' />
From the above image , can the median and altitude of an isosceles triangle be same?
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca7cf59b460d7261eb09.png' />
In the above image, it is given that $ ÎAMP \cong ÎAMQ$. Then $ÎAMP \cong ÎAMQ$. Which congruence criterion do we use in the following ?
Question 13 : <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 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb11f59b460d7261ebcb.png' />
In the above figure, 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 15 :
State whether the statements are True or False. If in âABC and âDEF, AB = DE, â A = â D and BC = EF then the two triangle ABC and DEF are congruent by SAS criterion.
Question 16 :
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 18 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca18f59b460d7261ea81.png' />
From the above image, find angle x.
Question 19 : <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 â P and PQ = PR. Then âPRS and âPQS are congruent by the criterion
Question 20 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c971f59b460d7261e9a7.png' />
You want to show that $\triangle ART \cong \triangle PEN$(see the above image). If you have to use SSS criterion, then you need to show AR = PE, RT = EN, AT = PN. Is it true?
Question 21 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca7bf59b460d7261eb08.png' />
In the above image, it is given that $ ÎAMP \cong ÎAMQ$. Then AM = ____?
Question 22 :
Which one of the following is not a criterion for congruence of two triangles?
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca26f59b460d7261ea95.png' />
From the above image, in triangle PQR, D is the mid-point of QR. $\overline{PD}$ is _________________.
Question 24 :
Is it possible to have a triangle with 6 cm, 3 cm, 2 cm?
Question 25 :
If ÎDEF $\cong$ ÎBCA, write the part of ÎBCA that correspond to $\angle F$ is _____.
Question 26 : <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 27 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb22f59b460d7261ebe1.png' />
In the above figure, find the value of the unknown exterior angle x.
Question 28 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c95ff59b460d7261e991.png' />
In the above image, can you use ASA congruence rule and conclude that $\triangle AOC \cong \triangle BOD$?
Question 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca3df59b460d7261eab5.png' />
From the above image, take any point O in the interior of a triangle PQR. Is OR + OP > RP??
Question 30 : <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 31 :
The two interior opposite angles of an exterior angle of a triangle are 60$^\circ$ and 80$^\circ$. Find the measure of the exterior angle.
Question 32 :
Can you have a triangle with all the three angles equal to 60Âș?
Question 33 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c950f59b460d7261e97e.png' />
In the above image, AD = CD and AB = CB. Is $ \triangle ABD \cong \triangle CBD$?
Question 34 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca39f59b460d7261eaaf.png' />
From the above image, find the values of the unknowns x and y.
Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c951f59b460d7261e97f.png' />
In the above image, AD = CD and AB = CB. Does BD bisect $ \angle ABC$?
Question 36 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c955f59b460d7261e985.png' />
From the above image, AB = AC and D is the mid-point of $\overline {BC}$.Is $ \triangle ADB \cong \triangle ADC$?
Question 37 :
If $ \triangle DEF \cong \triangle BCA$, write the part of $ \triangle BCA$ that correspond to $\overline {DF}$ is
Question 38 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca2df59b460d7261ea9f.png' />
From the above image, find the value of the unknown exterior angle x.
Question 39 : <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 ÎART $\cong$ ÎPEN, if it is given that $\angle T = \angle N$ and we are to use SAS criterion we need to have RT = _____.
Question 40 :
The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground, Find the length of the ladder.
Question 41 : <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 42 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c966f59b460d7261e99b.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 43 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca1af59b460d7261ea84.png' />
From the above image, find angle x.
Question 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca22f59b460d7261ea90.png' />
From the above image, find the unknown length x.
Question 45 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca3bf59b460d7261eab2.png' />
From the above image, find the values of the unknowns x and y.
Question 46 : <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 47 :
In $\triangle ABC$, $\angle A = 30^{\circ}$ , $\angle B = 40^{\circ}$ and $\angle C = 110^{\circ}$
In $\triangle PQR$, $\angle P = 30^{\circ}$ , $\angle Q = 40^{\circ}$ and $\angle R = 110^{\circ}$.
A student says that $\triangle ABC \cong \triangle PQR$ by AAA congruence criterion. Is he justified?
Question 48 :
What is the vertex opposite to the side RT of $\Delta $RST?
Question 49 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca0cf59b460d7261ea71.png' />
Look at the above image and tell what type of triangle is it according to its angles.
Question 50 :
When two triangles, say ABC and PQR are given, there are, in all, six possible matchings or correspondences. Two of them are (i) ABC â PQR and (ii) ABC â QRP. The other four correspondences are ABC <-> RPQ,CAB <-> PQR,BCA <-> PQR,CBA <-> PQR. Is it true?
