In this page we have Important Questions Class 7 Maths Chapter 10: Practical Geometry . Hope you like them and do not forget to like , social share
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Fill in the blanks
(i)A triangle can be drawn if the _____ and a leg in the case of a right-angled triangle.
(ii) We can draw ____________ line (s) parallel to a given line.
(iii) The number of line (s) that can be drawn parallel to a given line through a given point not on the line is ________________.
(iv) A triangle can be drawn only when the sum of any two sides of the triangle is _______________ than third side.
(v) Construction of a triangle is not possible if three ________________ of a triangle are given.
(vi) The sum of angles of a triangle is ______________ right angles.
(vii) A triangle can be drawn if _____ sides and one angle given.
(viii) A triangle in which all three sides are of equal lengths is called _________. Solution
(i) At least two lines can be drawn parallel to a given line through a point not lying on the line.
(ii) The sum of the angles of a triangle should be at least 180° for its construction.
(iii) A triangle with sides 6cm, 4cm and 10cm can't be constructed.
(iv) For construction of any triangle, we need any three elements.
(v) We can construct a single triangle if all the angles of triangle are known.
(vi) if the lengths of two legs of right triangle are given, we can construct the triangle.
(vii) A unique triangle can be constructed if two angles & the length of any side are given.
(viii) We can construct a triangle DEF such that EF = 7.2 cm, ∠ E = 110° and ∠F = 80° Solution
Multiple Choice Questions
A triangle can be constructed by taking its sides as:
(a) 1.8 cm, 2.6 cm, 4.4 cm
(b) 2 cm, 3 cm, 4 cm
(c) 2.4 cm, 2.4 cm, 6.4 cm
(d) 3.2 cm, 2.3 cm, 5.5 cm
Which of the following sets of triangles could be the lengths of the sides of a right-angled triangle:
(a) 3 cm, 4 cm, 6 cm
(b) 9 cm, 16 cm, 26 cm
(c) 1.5 cm, 3.6 cm, 3.9 cm
(d) 7 cm, 24 cm, 26 cm
Which of these triangle can be constructed?
(a) $ \Delta ABC$ , ∠A = 85°, ∠B = 115°, AB = 5 cm.
(b) $ \Delta PQR$ ∠Q = 30°, ∠R = 60°, QR = 4.7 cm.
(c) $ \Delta ABC$ BC = 2 cm; AB = 4 cm; AC = 2 cm.
(d) $ \Delta LMN$ ∠L = 60°, ∠N = 120°, LM = 5 cm.
In which of the following cases, a unique triangle can be drawn
(a) AB = 4 cm, BC = 8 cm and CA = 2 cm
(b) BC = 5.2 cm, ∠B = 90° and ∠C = 110°
(c) XY = 5 cm, ∠X = 45° and ∠Y = 60°
(d) An isosceles triangle with the length of each equal side 6.2 cm.
(a)Construct a triangle PQR with PQ=6cm, QR=7cm and PR=8cm. Using ruler and compasses only
(b)Draw bissector of $\angle QPR$.Also draw perpendicular from vertex Q on PR.
(c) Measure the length of perpendicular Solution
(i) Draw a line segment PQ of length 6 cm.
(ii) With P as centre, draw an arc of radius 8 cm.
(iii) With Q as centre, draw an arc of radius 7 cm which intersects the previous arc at R.
(iv) Join PR and QR.
Then $ \Delta PQR$ is the required triangle
(a)Construct a triangle PQR with PQ=3.6cm, QR=3.2cm and $\angle Q=120^0$
(b) Measure the other two angles Solution
(i) Draw a line segment PQ of length 3.6 cm.
(ii) With Q , draw an line with an angle with an angle 120°.
(iii) With Q as centre, draw an arc of radius 3.2 cm which intersects the line at the angle at R.
(iv) Join PR and QR.
(a) Construct a triangle ABC with BC=6cm,$\angle B=35^0$ and $\angle C=100^0$
(b) Also draw a perpendicular from A on BC. Solution
(i) Draw a line segment BC of length 6 cm.
(ii) With B , draw an line with an angle with an angle 35°.
(iii) With C , draw an line with an angle with an angle 100° so that it cut the previously drawn line at A
(iv) Join AB and AC.
Construct a right angled triangle whose hypotenuse is of length 4cm and one side is of length 2.5 cm. Solution
(i) Draw a line segment BC of length 4 cm.
(ii) With B , draw an line with an angle with an angle 90°.
(iii) With C , draw an arc of radius 4 cm which intersects the line previously drawn at A.
(iv) Join the line AC
Construct an equilateral triangle ABC of side 6 cm. link to this page by copying the following text