Only one line can pass through a single point

Asked by admin @ 11/08/2021 in Math viewed by 339 People

Which of the following statements are true and which are false? Give reasons for your answers. (i) Only one line can pass through a single point. (ii) There are an infinite number of lines which pass through two distinct points. (iii) A terminated line can be produced indefinitely on both the sides. (iv) If two circles are equal, then their radii are equal. (v) In the following figure, if AB = PQ and PQ = XY, then AB = XY.

Answered by admin @ 11/08/2021

Answer:

(i) Only one line can pass through a single point.

Answer: False

Reason: From a point infinite many lines can pass through

(ii) There are an infinite number of lines which pass through two distinct points.

Answer: False

Reason: From 2 distinct point only one straight line can pass

(iii) A terminated line can be produced indefinitely on both the sides.

Answer:True

Reason: Line segment can produced both side indefinitely and become a line.

(iv) If two circles are equal, then their radii are equal.
Answer: True

Reason: The only dimension is required to draw a circle is radius.If two radius are equal then two circle drawn ate definitely equal.

(v) In the following figure, if AB = PQ and PQ = XY, then AB = XY.

Answer: True

Reason: This is Euclid's axioms,if two things are equal ,second is equal to third then first and third will be equal.hence AB= XY

Which input value produces the same output value for the two functions on the graph? f(x) equals negative startfraction 2 over 3 endfraction x plus 1. g(x) equals startfraction 1 over 3 endfraction x minus 2. a coordinate grid with two lines. one line labeled f(x) passes through (negative 3, 3), (0, 1), and point (3, negative 1). the second line is labeled g(x) and passes through (negative 3, negative 3), (0, negative 2), and point (3, negative 1). x = –3 x = –1 x = 1 x = 3

Asked by wiki @ 29/10/2020 in Mathematics viewed by 453 persons

Which can be a possible next step in the construction of an angle with a side on line l that is congruent to abc? a. use a straightedge to draw a line that passes through point b and intersects line l. b. plot a point on ba. c. plot a point on line l. d. plot a point on bc.

Asked by maham237 @ 13/01/2021 in Mathematics viewed by 355 persons

Only one line can pass through a single point

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