Solve the following multiple choice questions.

Question

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Here are the solutions to the questions.

1. A) Choose the correct alternative answer and write the alphabet.

1) Find d(A, B) if Co-ordinates of A and B are -2 and 5 respectively.

The distance between two points on a number line is the absolute difference of their coordinates.
Let the coordinates be $x_A = -2$ and $x_B = 5$. $$ d(A, B) = |x_B - x_A| $$
Substitute the values and calculate.
$$ d(A, B) = |5 - (-2)| $$ $$ d(A, B) = |5 + 2| $$ $$ d(A, B) = |7| $$ $$ d(A, B) = 7 $$ The correct option is **c)**. $$ \boxed{\text{c) 7}} $$
- 2) A transversal intersects two parallel line. If the measures of one the angle is $40^\circ$ , then the measure of its corresponding angle is ........ When a transversal intersects two parallel lines, the corresponding angles are equal in measure. Therefore, if one angle is $40^\circ$ , its corresponding angle is also $40^\circ$ . The correct option is a).
  $\boxed{\text{a) } 40^\circ}$
- 3) In $\triangle ABC$ , if $\angle C > \angle B$ then, ........ In a triangle, the side opposite the larger angle is longer. The side opposite $\angle C$ is $AB$ . The side opposite $\angle B$ is $AC$ . Since $\angle C > \angle B$ , it follows that $AB > AC$ . The correct option is b).
  $\boxed{\text{b) } AB > AC}$
- 4) How many lines are determined by three distinct points?
  
  If the three distinct points are collinear (lie on the same straight line), then only one line can be drawn through them.
  
  If the three distinct points are non-collinear (do not lie on the same straight line), then three distinct lines can be drawn, connecting each pair of points. Therefore, three distinct points can determine either one or three lines. The correct option is c).
  
  $\boxed{\text{c) One or three}}$

Solve the following multiple choice questions.

Answer

Step-by-step solution

The distance between two points on a number line is the absolute difference of their coordinates.

Substitute the values and calculate.

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