Question 1 : <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 2 : <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 3 : <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 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c955f59b460d7261e984.png' />
From the above image, AB = AC and D is the mid-point of $\overline {BC}$.State the pair(s) of equal parts in $ \triangle ADB$ and $\triangle ADC$.
Question 5 :
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 6 : <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 7 : <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 8 : <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 9 :
Which is the longest side in the triangle PQR, right-angled at P?
Question 10 :
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 11 :
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 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca17f59b460d7261ea80.png' />
From the above image, find angle x.
Question 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb13f59b460d7261ebce.png' />
In the above figure, take any point O in the interior of a triangle PQR. Is OR + OP > RP?
Question 14 :
Can the altitude and median be always same for a triangle?
Question 15 :
In which type of triangle 2 of its sides are altitudes and meet at same point?
Question 16 : <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 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca24f59b460d7261ea92.png' />
From the above image, find the unknown length x.
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/61b1ca3ef59b460d7261eab6.png' />
From the above image, AM is a median of a triangle ABC. Is AB + BC + CA > 2 AM? (Consider the sides of triangles ∆ABM and ∆AMC.)
Question 21 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca79f59b460d7261eb05.png' />
In the above image, we want to show that ΔART $\cong$ ΔPEN, if it is given that AT= PN and we are to use ASA criterion, we need to have _____.
Question 22 :
What can you say about the sum of an exterior angle of a triangle and its adjacent interior angle?
Question 23 : <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 24 :
The line segment joining a vertex of a triangle to the mid-point of its opposite side is called its __________.
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c95ef59b460d7261e990.png' />
In the above image, $\overline{AB}$ and $\overline{CD}$ bisect each other at O. Which of the following statements are true?
Question 26 :
If ΔDEF $\cong$ ΔBCA, write the part of ΔBCA that correspond to $\overline{EF}$ is _____.
Question 27 : <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 28 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca1bf59b460d7261ea86.png' />
From the above image, find angle x.
Question 29 : <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 30 : <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 31 : <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 32 :
By applying ASA congruence rule, it is to be established that $\triangle ABC \cong \triangle QRP$ and it is given that BC = RP. What additional information is needed to establish the congruence?
Question 33 :
Among two congruent angles is, one has a measure of $70^{\circ }$; the measure of the other angle is ____.
Question 34 :
If $ \triangle DEF \cong \triangle BCA$, write the part of $ \triangle BCA$ that correspond to $\overline {EF}$ .
Question 35 : <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 36 : <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 37 :
Write the side opposite to the vertex Q of triangle PQR .
Question 38 : <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 39 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca1ef59b460d7261ea8a.png' />
From the above image, find angles x and y.
Question 40 : <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.
