Question 1 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d25df59b460d7261f59b.png' />
In the above fig, AC = AE, AB = AD and ∠BAD = ∠EAC. Is BC = DE?
Question 2 :
State true or false: In a triangle, other than an equilateral triangle, angle opposite the longest side is greater than $\frac{2}{3}$ of a right angle.
Question 3 :
The sum of any two sides of a triangle is greater than the third side. Is this true?
Question 4 :
O is a point in the interior of a square ABCD such that OAB is an equilateral triangle. Thus, $∆$ OCD is (a/an) ____________ triangle.
Question 5 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d26ef59b460d7261f5b2.PNG' />
In the above fig, AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD. Which of the following is true?
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d24cf59b460d7261f587.PNG' />
In the above fig, E and F are respectively the mid-points of equal sides AB and AC of ∆ ABC. Is ∆ ABF ≅ ∆ ACE?
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d256f59b460d7261f594.PNG' />
In the above fig, ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Is ∠ABD = ∠BAC?
Question 8 :
In $∆$ PQR, $∠$P = 70$^{\circ}$ and $∠$R = 30$^{\circ}$. Which side of this triangle is the longest ?
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d180f59b460d7261f460.png' />
In the above figure, two lines AB and CD intersect each other at the point O such that BC || DA and BC = DA. Is 'O' the midpoint of both the line-segments AB and CD?
Question 10 :
If AB = QR, BC = PR and CA = PQ, then
Question 11 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d240f59b460d7261f576.PNG' />
In the above image, which two figures are congruent?
Question 12 :
Of all the line segments drawn from a given point not on it, the __________ line segment is the shortest.
Question 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d263f59b460d7261f5a3.PNG' />
In the fig above is shown ∆ ABC where AD is the perpendicular bisector of BC. ∆ ABC is an isosceles triangle with _________.
Question 14 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d24af59b460d7261f585.PNG' />
In ∆ ABC shown in the above fig, the bisector AD of ∠A is perpendicular to side BC. Is AB = AC?
Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d258f59b460d7261f595.png' />
In the above fig, AD and BC are equal perpendiculars to a line segment AB. Does CD bisect AB?
Question 16 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d181f59b460d7261f462.png' />
In the above figure, ABC is a right triangle and right angled at B such that $∠BCA = 2 ∠BAC$. Thus, the hypotenuse AC is ____________________.
Question 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d244f59b460d7261f57c.png' />
In the above fig, OA = OB and OD = OC. Is AD || BC?
Question 18 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d252f59b460d7261f58f.PNG' />
In the above fig, D is a point on side BC of ∆ ABC such that AD = AC . Is AB > AD?
Question 19 :
Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be
Question 20 :
In $∆$ PQR, $∠$R = $∠$P and QR = 4 cm and PR = 5 cm. Then the length of PQ is
Question 21 :
In triangles ABC and PQR, AB = AC, $∠$C = $∠$P and $∠$B = $∠$Q. The two triangles are
Question 22 :
AD is an altitude of an isosceles triangle ABC in which AB = AC. AD bisects ____.
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d26ef59b460d7261f5b3.PNG' />
In the above fig, AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD. Which of the following is true?
Question 24 :
State true or false: In a right triangle, the line-segment joining the mid-point of the hypotenuse to the opposite vertex is half the hypotenuse.
Question 25 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d242f59b460d7261f579.PNG' />
Are the triangles shown in the above figure congruent?
Question 26 :
S is any point on side QR of a $∆$ PQR. Thus,
Question 27 :
'If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.' Which congruence rule is this?
Question 28 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d253f59b460d7261f591.PNG' />
In the quadrilateral ACBD shown in the fig above, AC = AD and AB bisects ∠A. What can you say about BC and BD?
Question 29 :
P is a point on the bisector of $∠$ABC. If the line through P, parallel to BA, meet BC at Q, BPQ is (a/an) __________ triangle.
Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d271f59b460d7261f5b6.PNG' />
Complete the hexagonal and star shaped Rangolis given in the above fig by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?
Question 31 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d262f59b460d7261f5a1.PNG' />
In the fig above is shown a right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B. Is CM = $\frac{1}{2}$ AB?
Question 32 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d26cf59b460d7261f5b0.PNG' />
In the above fig, sides AB and AC of ∆ ABC are extended to points P and Q respectively. Also, ∠PBC < ∠QCB. Which of the following is true?
Question 33 :
'Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of other triangle.' Which congruence rule is this?
Question 34 :
'Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal.' Which congruence rule is this?
Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d244f59b460d7261f57b.png' />
In the above fig, OA = OB and OD = OC. Is ∆ AOD ≅ ∆ BOC?
Question 36 :
S is any point in the interior of $∆$ PQR. Hence, (SQ + SR) ___ (PQ + PR).
Question 37 :
State true or false: A point equidistant from two intersecting lines lies on the bisectors of the angles formed by the two lines.
Question 38 :
Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm?
Question 39 :
State true or false: In a triangle, the sum of any two sides is greater than the third side.
Question 40 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d26af59b460d7261f5ac.PNG' />
In the above fig, ∆ ABC and ∆ DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, is AP an angular bisector of ∠A as well as ∠D?
Question 41 :
In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Is OB = OC?
Question 42 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d24ef59b460d7261f58a.PNG' />
In the above fig is shown an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD. Is AD = AE?
Question 43 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d24df59b460d7261f589.PNG' />
In the above fig is shown an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD. Is ∆ ABD ≅ ∆ ACE?
Question 44 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d26ff59b460d7261f5b4.PNG' />
In the above fig , PR > PQ and PS bisects ∠QPR. Which of the following is true?
Question 45 :
State true or false: ABCD is a quadrilateral in which AB = BC and AD = CD. So, BD bisects both the angles ABC and ADC.
Question 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d262f59b460d7261f5a2.PNG' />
In the fig above is shown ∆ ABC where AD is the perpendicular bisector of BC. ∆ ABC is an _____________ triangle.
Question 47 :
D is a point on the side BC of a $∆$ ABC such that AD bisects $∠$BAC. Then
Question 48 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d26bf59b460d7261f5ae.PNG' />
In the above fig, two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of ∆ PQR. Is ∆ ABM not congruent to ∆ PQN?
Question 49 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d268f59b460d7261f5aa.PNG' />
In the above fig, ∆ ABC and ∆ DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, is ∆ ABD ≅ ∆ ACD?
Question 50 :
State true or false: If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent.
