Half Book 2

1

Which triangle construction criterion uses two angles and the included side?

A ASA B SAS C SSS D AAS

2

Adnan is finding the slope of a line perpendicular to y = 2x + 1. What is the slope?

A -1/2 B 1/2 C 2 D -2

3

Faisal is calculating the distance between A(-4, -3) and B(2, 5). What is the distance AB?

A 8 B 10 C 12 D 14

4

What is the symmetric form of a line with direction cosines l, m, n?

A (x - x₁)/l = (y - y₁)/m = (z - z₁)/n B y = mx + c C x/a + y/b = 1 D ax + by + c = 0

5

What is the point of intersection of the perpendicular bisectors of the sides of a triangle called?

A Circumcenter B Orthocenter C Centroid D Incenter

6

What is the length of the median from vertex A in triangle ABC if the sides are AB = 6, AC = 8, and BC = 10?

A 5 B 7 C 6 D 4

7

What is the perpendicular bisector of the hypotenuse in a right triangle?

A Passes through the circumcenter B Passes through the orthocenter C Passes through the centroid D Passes through the incenter

8

Saba is constructing a triangle given side AB = 5 cm, angle A = 60°, and side AC = 7 cm. Which construction method is she using?

A SSS B SAS C ASA D RHS

9

What is the y-intercept of the line x/2 + y/3 = 1?

A 3 B 2 C 6 D -3

10

In probability, the sum of the probabilities of all possible outcomes is:

A 1 B 0 C 0.5 D Depends on the number of outcomes

11

Tariq is constructing a triangle with sides 3 cm, 4 cm, and 5 cm. What type of triangle is formed?

A Equilateral B Isosceles C Right-angled D Obtuse

12

The median is a measure of:

A Spread B Central tendency C Variability D Dispersion

13

Komal is constructing a triangle with angles 60°, 60°, and 60°. What type of triangle is formed?

A Equilateral B Isosceles C Scalene D Right-angled

14

Zara is finding the equation of the family of lines passing through the point (2, 3). What is the general equation of the family?

A y - 3 = m(x - 2) B y + 3 = m(x + 2) C y = mx + 3 D y = 2x + m

15

If two lines are parallel, what is true about their slopes?

A They are equal B Their product is -1 C They are negative reciprocals D They are undefined

16

Farah is drawing an altitude from vertex A to side BC of triangle ABC. The altitude is also a median. What type of triangle is ABC?

A Scalene B Isosceles or equilateral C Right-angled D Obtuse

17

What is the incenter of a triangle?

A Point of intersection of angle bisectors B Point of intersection of medians C Point of intersection of altitudes D Point of intersection of perpendicular bisectors

18

The probability of an impossible event is:

A 0 B 0.5 C 1 D Undefined

19

If the mean of 4 observations is 15 and three observations are 12, 16, 18, what is the fourth observation?

A 14 B 15 C 16 D 13

20

Hina is writing the equation of a line with slope -1 passing through (2, 3). What is the equation?

A y = -x + 5 B y = x + 5 C y = -x - 5 D y = x - 5

21

Fatima is finding the midpoint of the line segment joining P(2, 3) and Q(6, 7). What is the midpoint?

A (4, 5) B (3, 4) C (8, 10) D (2, 2)

22

What is the number of sides of a regular polygon if each interior angle is 140°?

A 6 B 8 C 9 D 10

23

What is the measure of each interior angle of a regular nonagon?

A 120° B 135° C 140° D 150°

24

The incenter of a triangle is the point of concurrency of:

A Angle bisectors B Medians C Altitudes D Perpendicular bisectors

25

Find the x-intercept of the line 5x - 2y = 10.

A 2 B -2 C 5 D 10