Question 1 :
The six elements of triangle ABC are $\overline{AB}$, $\overline{BC}$, $\overline{CA}$, $\angle BAC$, $\angle ABC$, $\angle BCA$. Is the statement true?
Question 2 :
Can you have a triangle with all the three angles greater than 60º?
Question 3 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c960f59b460d7261e992.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 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c973f59b460d7261e9a8.png' />
You want to show that $\triangle ART \cong \triangle PEN$.(See the above image) If it is given that $\angle T = \angle N$ and you are to use SAS criterion, you need to have RT = EN and PN =AT. Is it true?
Question 5 :
Can you have a triangle with all the three angles less than 60º?
Question 6 :
Is it possible to have a triangle with 2 cm, 3 cm, 5 cm?
Question 7 :
If $ \triangle DEF \cong \triangle BCA$, write the part of $ \triangle BCA$ that correspond to $\overline {DF}$ is
Question 8 :
If $ \triangle DEF \cong \triangle BCA$, write the part of $ \triangle BCA$ that correspond to $\overline {EF}$ .
Question 9 : <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$?
Question 10 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c937f59b460d7261e95c.png' />
In the above figure, points A and B are on the opposite edges of a pond. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance AB.
Question 11 :
The two interior opposite angles of an exterior angle of a triangle are 60$^\circ$ and 80$^\circ$. Find the measure of the exterior angle.
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c95df59b460d7261e98e.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 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c935f59b460d7261e959.png' />
In the above figure, QS ⊥ PR, RT ⊥ PQ and QS = RT. Is ∠ PQR = ∠ PRQ?
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb0cf59b460d7261ebc4.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/61b1ca39f59b460d7261eaaf.png' />
From the above image, find the values of the unknowns x and y.
Question 16 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca21f59b460d7261ea8e.png ' />
From the above image, find the unknown length x.
Question 17 :
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 :
If $ \triangle ABC \cong \triangle FED$ under the correspondence ABC ↔ FED, write all the corresponding congruent parts of the triangles.
Question 19 : <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 20 :
ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, find BC.
Question 21 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c961f59b460d7261e993.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 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c95cf59b460d7261e98d.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 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb1af59b460d7261ebd7.png' />
In the above figure, find the value of the unknown x.
Question 24 : <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 25 :
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 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c962f59b460d7261e995.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 27 : <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 28 : <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 29 : <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 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca7ef59b460d7261eb0c.png' />
In the above image, given that PQ = RS, TQ = QS, PT = RQ. ΔQRS $\cong$ ΔTPQ. Which congruence criterion do we use in the following?
Question 31 :
Among two congruent angles, one has a measure of $70^{\circ}$; the measure of the other angle is ___________.
Question 32 :
When we write $\angle A=\angle B$, we can actually mean _____.
Question 33 :
Will an altitude always lie in the interior of a triangle?
Question 34 :
Can the exterior angle of a triangle be a straight angle?
Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca0df59b460d7261ea72.png' />
Look at the above image and tell what type of triangle is it according to its angles.
Question 36 :
What is the angle opposite to the side LM of $\Delta $LMN?
Question 37 : <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 $\triangle BAC \cong \triangle DAC$?
Question 39 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca0cf59b460d7261ea70.png' />
Look at the above image and tell what type of triangle is it according to its angles.
Question 41 :
Write the side opposite to the vertex Q of triangle PQR .
Question 42 : <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 43 :
In which of the following traingle the two altitudes of the triangle are two of its sides?
Question 44 : <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 45 : <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?
Question 46 : <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 47 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb11f59b460d7261ebca.png' />
In the above figure, take any point O in the interior of a triangle PQR. Is OQ+ OR > QR?
Question 48 :
In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm. Examine whether the two triangles are congruent or not.
Question 49 :
If $ \triangle DEF \cong \triangle BCA$, write the part of $ \triangle BCA$ that correspond to $\angle E$ .
Question 50 : <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.
