Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c930f59b460d7261e952.png' />
In the above figure, Observe and state the three pairs of equal parts in triangles ABC and DBC.Is ∆ABC ≅ ∆DCB?
Question 2 : <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 3 : <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 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c957f59b460d7261e987.png' />
From the above image, AC = BD and AD = BC. Which of the following statements is meaningfully written?
Question 5 :
Measurements of two triangles are given below. Examine whether the two triangles are congruent or not, by using SAS congruence rule.
In $\triangle ABC$ ,BC = 6 cm, AC = 4 cm, $ \angle B = 35^{\circ}$
In $\triangle DEF$, DF = 4 cm, EF = 6 cm, $ \angle E = 35^{\circ}$
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca29f59b460d7261ea99.png' />
From the above image, in triangle XYZ, is YL an altitude in the exterior of the triangle?
Question 7 : <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 9 :
For a scalene triangle all the altitudes and medians are different. Is it true?
Question 10 : <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 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca3af59b460d7261eab1.png' />
From the above image, find the values of the unknowns x and y.
Question 12 :
The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
Question 13 :
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 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c963f59b460d7261e997.png' />
In the above image, $DA \perp AB$, $CB \perp AB$ and AC = BD. Which of the following statements is meaningful?
Question 15 :
Is the sum of any two angles of a triangle always greater than the third angle?
Question 16 :
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 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb16f59b460d7261ebd2.png' />
In the above figure, find the value of the unknown x.
Question 18 :
If $ \triangle ABC \cong \triangle FED$ under the correspondence ABC ↔ FED, write all the corresponding congruent parts of the triangles.
Question 21 :
Can the altitude and median be always same for a triangle?
Question 22 :
The lengths of two sides of a triangle are 12 cm and 15 cm.Then the length of the third side should fall between 3 cm and 27 cm?
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c94bf59b460d7261e977.png' />
Can you, now, say if the shaving blades of the same company are congruent or not?
Question 24 : <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 25 : <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 26 : <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 27 :
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 28 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca39f59b460d7261eab0.png' />
From the above image, find the values of the unknowns x and y.
Question 29 : <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 30 :
State whether the statements are True or False. The measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles.
Question 31 : <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 32 : <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 33 : <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 34 :
When we write $\angle A$ = $\angle B$, we actually mean ___________.
Question 35 : <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 36 : <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 37 : <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 38 : <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 39 : <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 40 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca2cf59b460d7261ea9e.png' />
From the above image, find the value of the unknown exterior angle x.
Question 41 :
An exterior angle of a triangle is of measure 70$^\circ$ and one of its interior opposite angles is of measure 25$^\circ$. Find the measure of other interior opposite angle.
Question 42 : <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 43 : <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 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c94df59b460d7261e97a.png' />
Can you, now, say if the toys made of the same mould are congruent or not?
Question 45 : <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 46 : <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 47 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb0df59b460d7261ebc5.png' />
In the above figure, angles Q and R of a triangle POR are 25° and 65°. Write which of the following is true:
Question 48 :
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 49 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca2ff59b460d7261eaa3.png' />
From the above image, find the value of the unknown interior angle x.
Question 50 :
When we write $\angle A=\angle B$, we can actually mean _____.
