Question 1 :
The line segment joining a vertex of a triangle to the mid-point of its opposite side is called its __________.
Question 2 :
Which is the longest side in the triangle PQR, right-angled at P?
Question 3 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb09f59b460d7261ebc0.png' />
In the above figure, find the value of the unknown interior angle x.
Question 4 :
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, $\angle A = 90^{\circ}$, AC = 5 cm, BC = 9 cm
In triangle PQR, $\angle Q= 90^{\circ}$, PR = 8 cm, PQ = 5 cm
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c96af59b460d7261e99f.png' />
ABC is an isosceles triangle with AB = AC and AD is one of its altitudes (See the above image). State the pairs of equal parts in $\triangle ADB$ and $\triangle ADC$.
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c958f59b460d7261e988.png' />
In the above image, AB = AC and AD is the bisector of $ \angle BAC$. State the pairs of equal parts in triangles ADB and ADC.
Question 7 :
Among two congruent angles is, one has a measure of $70^{\circ }$; the measure of the other angle is ____.
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c95df59b460d7261e98f.png' />
In the above image, $\overline{AB}$ and $\overline{CD}$ bisect each other at O. State the pairs of equal parts in two triangles AOC and BOD.
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca2af59b460d7261ea9b.png' />
From the above image, find the value of the unknown exterior angle x.
Question 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb19f59b460d7261ebd5.png' />
In the above figure, PQR is a triangle and D is the midpoint of $\overleftrightarrow{QR}$. Now, $\overleftrightarrow{PD}$ is ______.
Question 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca33f59b460d7261eaa8.png' />
From the above image, find the value of the unknown x .
Question 12 : <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 13 : <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 15 : <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 16 : <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 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca2df59b460d7261eaa0.png' />
From the above image, find the value of the unknown exterior angle x.
Question 18 :
What can you say about the sum of an exterior angle of a triangle and its adjacent interior angle?
Question 19 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb1df59b460d7261ebdb.png' />
In the above figure, find the value of the unknown x.
Question 20 :
Is the sum of any two angles of a triangle always greater than the third angle?
Question 21 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca18f59b460d7261ea82.png' />
From the above image, find angle x.
Question 22 :
Determine whether the triangle whose lengths of sides are 3 cm, 4 cm, 5 cm is a right-angled triangle.
Question 23 :
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 24 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c97af59b460d7261e9b0.png' />
In the above image $\triangle ABC \cong \triangle FED$. What criterion did we use?
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca75f59b460d7261eaff.png' />
In the above image, EB = DB, AE = BC, $\angle A=\angle C=90^{\circ }$, So, $ΔABE \cong ΔCDB$. Which congruence criterion do we use in the above congruency ?
Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb0bf59b460d7261ebc3.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/61b1c958f59b460d7261e989.png' />
In the above image, AB = AC and AD is the bisector of $ \angle BAC$. Is $ \triangle ADB \cong \triangle ADC$?
Question 28 :
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 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c976f59b460d7261e9ab.png' />
In the above image, the two triangles are congruent. The corresponding parts are marked. We can write $\triangle RAT \cong ? $.
Question 30 : <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 31 :
If ΔDEF $\cong$ ΔBCA, write the part of ΔBCA that correspond to $\angle F$ is _____.
Question 32 :
When two triangles, say ABC and PQR are given, there are, in all, six possible matchings or correspondences. Two of them are (i) ABC ↔ PQR and (ii) ABC ↔ QRP. The other four correspondences are ABC <-> RPQ,CAB <-> PQR,BCA <-> PQR,CBA <-> PQR. Is it true?
Question 33 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c961f59b460d7261e994.png' />
In the above image, measures of some parts are indicated. By applying ASA congruence rule, state whether the pair of triangles are congruent or not.
Question 34 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca0ef59b460d7261ea73.png' />
Look at the above image and tell what type of triangle is it according to its sides.
Question 35 :
If $ \triangle DEF \cong \triangle BCA$, write the part of $ \triangle BCA$ that correspond to $\angle F$ is
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 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca12f59b460d7261ea79.png' />
Look at the above image and tell what type of triangle is it according to its angles.
Question 38 :
Write the angle opposite to the side LM of triangle LMN .
Question 39 : <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 40 :
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 = 5 cm
In triangle PQR,$\angle Q = 60^{\circ}$, $\angle R = 80^{\circ}$, QR = 5 cm
Question 41 : <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 42 : <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 43 : <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 44 :
The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
Question 45 : <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 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca2bf59b460d7261ea9d.png' />
From the above image, find the value of the unknown exterior angle x.
Question 47 : <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 48 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca11f59b460d7261ea77.png' />
Look at the above image and tell what type of triangle is it according to its angles.
Question 49 :
Which of the following can be the sides of a right triangle?
Question 50 : <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?
