Plane in Geometry

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles

Which angles are vertical angles?

Calculate m∠ABC.

• 45°

• 60°

• 105°

• 15°

If m∠ABC = 103° find x.

A ______________ is a point on a line segment halfway between the endpoints of the segment.

• midpoint

• bisect

• line

• space

Convex or Concave?

• Convex

• Concave

Plot the points and identify that they lie in which quadrant or on which axes: P(-4.5, 3) Q(0,-3.8) R(4.2,5) S(2.7,0). Choose the correct option

• P:2nd quadrant Q:4th quadrant R:1st quadrant S:1st quadrant

• Q:2nd quadrant R:4th quadrant P:1st quadrant S:1st quadrant

• Q:2nd quadrant P:4th quadrant R:1st quadrant S:1st quadrant

• S:2nd quadrant Q:4th quadrant R:1st quadrant P:1st quadrant

Answer explanation

Point P lies in second quadrant (-,+) Point Q lies in fourth quadrant (+,-) Point R lies in first quadrant (+,+) Point S lies in the first quadrant (+,+)

From the below mentioned points, identify which of these statements is correct: A(3,1) B(-3,3) C(-4,-2) D(-2,-4)

• All the points lie in second and third quadrant

• Point B lie in second quadrant and point C and D lie in the third quadrant

• Point B and C lie in First and third quadrant respectively.

• Point C and D lie in the fourth Quadrant

Answer explanation

Point A lie in 1st Quadrant, Point B lie in second quadrant and points C and D lie in the 3rd Quadrant. Based on this information, option 2 is correct.

On plotting the points P(0, 2), Q(-2, 0), R(0, -4), S(2, 0) and joining PQ, QR, RS and SP. Which of the following figure is obtained?

• Kite

• Square

• Rectangle

• Isosceles Trapezium

Answer explanation

Here, point P (0, 2) lies on the positive direction of Y-axis Q(-2, 0) lies on negative direction of X-axis, R (0, -4) lies on negative direction of Y-axis, and S (2, 0) lines on positive direction of X-axis. On joining PQ, QR, RS and SP the figure obtained is a kite

• ONE

• TWO

• THREE

• MANY