Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c95bf59b460d7261e98c.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 :
The three angles of a triangle are in the ratio 1:2:1. Find all the angles of the triangle.
Question 3 :
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 4 :
The lengths of two sides of a triangle are 6 cm and 8 cm.Then the length of the third side should be greater than 2 and less than 14 cm?
Question 5 :
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, $\angle E = 80^{\circ}$, $\angle F = 30^{\circ}$, EF = 5 cm
In triangle PQR,$\angle P = 80^{\circ}$, $\angle R = 30^{\circ}$, PQ = 5 cm
Question 6 : <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 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca40f59b460d7261eab9.png' />
From the above image, angles Q and R of a ∆PQR are 25º and 65º. Which of the following is true?
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca74f59b460d7261eafe.png' />
In the above image, $\angle MLN=\angle FGH$, $\angle NML=\angle GFH$, ML = FG. So, ΔLMN $\cong$ ΔGFH. Which congruence criterion do we use in the above congruency ?
Question 9 : <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 10 : <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 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb1ff59b460d7261ebdd.png' />
In the above figure, find the value of the unknown interior angle x.
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb08f59b460d7261ebbf.png' />
In the above figure, find the value of the unknown exterior angle x.
Question 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca20f59b460d7261ea8d.png' />
From the above image, triangle ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.
Question 14 : <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 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c935f59b460d7261e958.png' />
In the above figure, QS ⊥ PR, RT ⊥ PQ and QS = RT. Is ∆ QSR ≅ ∆ RTQ?
Question 16 :
Which angle is included between the sides $\overline{DE}$ and $\overline{EF}$ of $\triangle DEF$?
Question 17 : <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 18 : <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 19 :
When we write $\angle A=\angle B$, we can actually mean _____.
Question 20 : <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 21 : <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 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c963f59b460d7261e996.png' />
In the above image, $DA \perp AB$, $CB \perp AB$ and AC = BD. State the pairs of equal parts in $\triangle ABC$ and $\triangle DAB$.
Question 23 : <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 24 : <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 25 :
When we write $\angle A$ = $\angle B$, we actually mean ___________.
Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb17f59b460d7261ebd3.png' />
In the above figure, find the value of the unknown x and y.
Question 27 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca35f59b460d7261eaaa.png' />
From the above image, find the value of the unknown x.
Question 28 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c952f59b460d7261e981.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 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca76f59b460d7261eb01.png' />
In the above image, we want to show that ΔART $\cong$ ΔPEN, if we have to use SSS criterion, then we need to show RT = ____.
Question 30 : <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 31 :
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 32 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca28f59b460d7261ea98.png' />
From the above image, in triangle PQR, are PQ and PR altitudes of the triangle?
Question 33 :
Write the vertex opposite to the side RT of triangle RST.
Question 34 :
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 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca10f59b460d7261ea76.png' />
Look at the above image and tell what type of triangle is it according to its angles.
Question 36 :
Can the altitude and median be always same for a triangle?
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 AB = AD?
Question 38 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb06f59b460d7261ebbd.png' />
In the above figure, the diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
Question 39 : <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 40 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c96ef59b460d7261e9a3.png' />
Which congruence criterion do you use in the following?(see the image) Given: AC = DF, AB = DE, BC = EF so, $\triangle ABC \cong \triangle DEF$.
Question 41 : <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 42 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb20f59b460d7261ebdf.png' />
In the above figure, find the value of the unknown x.
Question 43 : <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 44 : <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 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb1cf59b460d7261ebd9.png' />
In the above figure, PQR is a triangle, right angled at P. If PQ = 10 cm and PR= 24 cm, find QR.
Question 47 : <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 48 :
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 the other interior opposite angle.
Question 49 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb14f59b460d7261ebcf.png' />
In the above figure, find the value of the unknown x and y.
Question 50 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb16f59b460d7261ebd1.png' />
In the above figure, find the value of the unknown exterior angle x.
