State the property that is used in each of the
following statements?
(i) If a || b, then ∠1 = ∠5.
(ii) If ∠4 = ∠6, then a || b.
(iii) If ∠4 + ∠5 = 180°, then a || b
Text Solution
Verified by Experts
(i) If a ∥ b, then `∠1 = ∠5`.
Property used here is Corresponding angles property in the above statement.
(ii) If `∠4 = ∠6`, then a ∥ b.
Property used here is Alternate interior angles property in the above statement.
...
Topper's Solved these Questions
LINES AND ANGLES
NCERT|Exercise EXERCISE 5.1|14 Videos
LINES AND ANGLES
NCERT|Exercise SOLVED EXAMPLES|1 Videos
INTEGERS
NCERT|Exercise EXERCISE 1.3|8 Videos
PERIMETER AND AREA
NCERT|Exercise EXERCISE 11.2|8 Videos
Similar Questions
Explore conceptually related problems
Write all subset of each of the following sets : (i) {5,6} (ii) {4,5,6} (iii) {phi} .
Find each of the following products: (i) (4a + 5b) xx (5a - 6b) (ii) (6x^(2) - x + 8) xx (x^(2) -3)
Find the distance of each of the following points from the origin: (i) A (5, -12) (ii) B(-5, 5) (iii) C(-4, -6).
If (4a - 5b)/(4a + 5b) = 1/6, then the value of a:b is
Plot each of the following points on a graph paper: (i) A(5, 2) (ii) B(-2, 4) (iii) C(-4, -6) (iv) D(4, -3)
Convert each of the following into an improper fraction: (i) 1 3/4 (ii) 4 5/7 (iii) 7 9/13 12 6/25
In Figure,which of the following statements must be true? a+b=d+c (i) a+c+e=180^(@)b+f=c+e(i) only (b) (ii) only (iii) only (d) (ii) and (ii) only
If sets A = (-3, 2] and B = (-1, 5], then find the following sets (i) A cap B (ii) A cup B (iii) A - B (iv) B-A
Write each of the following in the product form: a^(2)b^(5) (ii) 8x^(3) (iii) 7a^(3)b^(4)
Find the distance between the following points : (i) A(-6, 4) and B(2, -2) (ii) A(-5, -1) and B(0,4)