Geometry Quiz

How many quadrilaterals are there in the given figure?

1. 3
2. 4
3. 5
4. 6

Answer: (d) 6

Fill in the blanks: A kite is a ___P___ with two pairs of ___Q___ sides that are equal in length. The diagonals of a kite are __R___ in length and intersect each other at __S__ angles.

1. P = quadrilateral, Q = opposite, R = equal, S = right
2. P = parallelogram, Q = adjacent, R = unequal, S = acute
3. P = quadrilateral, Q = adjacent, R = unequal, S = right
4. P = parallelogram, Q = opposite, R = unequal, S = right

Answer: (c) P = quadrilateral, Q = adjacent, R = unequal, S = right

The wheel of a car completes 33⁄4 revolutions. How many right angles are turned by the car?

1. 10
2. 12
3. 15
4. 21

Answer: (c) 15

In the given figure, find the number of angles.

1. 7
2. 9
3. 11
4. 13

Answer: (d) 13

For what value of a are the angles (8a - 13°) and (2a + 15°) complementary?

1. 8.8
2. 6.2
3. 88
4. 17.8

Answer: (a) 8.8

A line segment with endpoints A and B has a total of five points: A, C, D, E and B. Given that AB = 18 cm, AC = CD = 2DE = EB, determine the ratio of the length of AD to that of CE.

1. 1 : 3
2. 3 : 4
3. 4 : 3
4. 3 : 2

Answer: (c) 4 : 3

What is true for the angle traversed by the hour hand of the clock in 3 hours 10 minutes?

1. 95°; acute angle
2. 90°; right angle
3. 108°; obtuse angle
4. 95°; obtuse angle

Answer: (d) 95°; obtuse angle

Find the sum of the number of points that are interior to ∠ABD and the number of points that are exterior to ∠ABC.

1. 5
2. 6
3. 3
4. 7

Answer: (b) 6

Determine the value of 3m - 2t + s, where m is the measure of each interior angle of a regular octagon, t is the measure of each interior angle of a rectangle and s is the measure of each interior angle of an equilateral triangle.

1. 285°
2. 375°
3. 405°
4. 525°

Answer: (a) 285°

The diameters of circles with centers as O and O', respectively, are in the ratio of 2 : 3. If A is a point on the boundary of a circle with center O such that OA = 3.2 cm, then what is the radius of the circle with center O'?

1. 2.8 cm
2. 4.8 cm
3. 6.4 cm
4. 9.6 cm

Answer: (b) 4.8 cm