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Unit 10 Brain Teaser | Parallel Lines | Class-8 DAV Secondary Mathematics
Q1A. Tick (✓) the correct option.
(i) A transversal intersects two lines. Which condition would always make the two lines parallel?
(a) Vertically opposite angles are equal.
(b) Interior angles on the same side of the transversal are complementary.
(c) Alternate interior angles are equal.
(d) Corresponding angles are supplementary.
(ii) Based on the diagram given below, which of the following statements is true?
(a) a || b (b) a || c (c) b || c (d) d || e
(iii) In the diagram given below, transversal TU intersects PQ and RS at V and W respectively. For which value of x is PQ || RS?
(a) 6 (b) 16 (c) 24 (d) 28
(iv) Peach Steet and Cherry Street are parallel. Apple Street intersects them, as shown below:
If m∠1 = (2x + 36)° , m∠2 = (7x-9)° , what is m∠1?
(a) 9° (b) 17° (c) 54° (d) 70°
(v) In the diagram given below, lines n and m are cut by transversal p and q?
What value of x would make lines n and m parallel?
(a) 110° (b) 80° (c) 70° (d) 50°
Q1B. Answer the following questions.
(i) If AB || DE, find ∠ACD.
(ii) In the diagram given below, PQ || OL.
Is OL || ST? Give reasons.
(iii) If AB || PQ, find y.
(iv) if AB || EF, DE || BC, AC || Df, find x and y.
(v) For what value of x, is l || m?
Q2. In the figure 10.34, lines I II m II n and p II q II r. If ∠I = 85°, find ∠x, ∠y, ∠z, ∠r, ∠s and ∠u.
Q3. Draw a line segment AB = 7.6 cm. Without constructing parallel lines at A and B, find three points P, Q and R on AB such that AP = PQ = QR = RB.
Q4. In the figure 10.35, name the edges of the adjoining cube which are parallel to
(i) AB (ii) EH (iii) AE
(iv) What is the point of intersection of AE and AB?
(v) Are the edges AB and DH parallel to each other? Why?
(vi) Are edges EF and BC parallel?
[Lines in the same plane are either parallel or intersecting whereas lines in different planes need not be sol