Free Printable Q2_Summative Test 3

1.

What geometrical figure does the points (-2, 3), (1, 3), (1,0), and (-2,0) will form?

a)

Square

b)

Parallelogram

c)

Rectangle

d)

Trapezoid

2.

Find the distance between points A(-3,5) and B(7,-1)

a)

9.7

b)

11.7

c)

10.7

d)

12.7

3.

What is the radius of the circle having endpoints A(-8,-1) and B(-4,-1)?

a)

2.5 units

b)

6.1 units

c)

2 units

d)

3.75 units

4.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

5.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

6.

Which equation was used during the proving of the distance formula?

a)

Heron's Formula

b)

Special Triangle Theorem

c)

Pythagorean Theorem

d)

Sum of angles theorem

7.

There are three points A, B, and C which are non-collinear points from each other. The coordinates are (-1,2), (3,-2), and (5,5), respectively. What is the area of the triangle?

a)

2 square units

b)

5/2 square units

c)

3 square units

d)

4 square units

8.

What is the midpoint of the points (-1, -6) and (-7,4)?

a)

(-4,-1)

b)

(4,1)

c)

(-4,1)

d)

(4,-1)

9.

Solve the area of the circle if the coordinate of the diameter are A(-7,3), and B(1,6).

a)

$\frac{125}{2}\ \pi u^2$

b)

$\frac{127}{2}\pi u^2$

c)

$\frac{121}{2}\pi u^2$

d)

$\frac{129}{2}\pi u^2$

10.

What geometrical figure will be formed when you connect points (6,11), (1,2), and (11,2)?

a)

Scalene triangle

b)

Equilateral trianlge

c)

Isosceles triangle

d)

Obtuse triangle

11.

Which equation do not represent a circle?

a)

$x^2+y^2=r^2$

b)

$(x-h)^2+(y-k)^2=r^2$

c)

$(x-h)^2-(y-k)^2=r^2$

d)

$x^2+y^2+Dx+Ey+F=0$

12.

Ana was asked to formulate the general equation of the circle given that the radius is 5cm and the coordinate of the center is (-1,2). What will be her answer to this problem?

a)

$x^2+y^2+2x-4y-20=0$

b)

$x^2+y^2-2x-4y-20=0$

c)

$x^2+y^2-2x+4y-20=0$

d)

$x^2+y^2+2x+4y-20=0$

13.

What is the center of the circle $x^2+y^2-4x+10y+13=0?$

a)

(2,5)

b)

(-2,5)

c)

(2,-5)

d)

(-2,-5)

14.

Transform $(x-2)^2+(y-4)^2=36$ into the general equation of a circle

a)

$x^2+y^2-4x-8y+16=0$

b)

$x^2+y^2+4x-16y-16=0$

c)

$x^2+y^2-4x-16y+16=0$

d)

$x^2+y^2-4x-8y-16=0$

15.

Solve the quarter area of the circle that will be formed by the general equation: $x^2+y^2+4x-4y-28=0$

a)

$9\pi u^2$

b)

$10\pi u^2$

c)

$11\pi u^2$

d)

$12\pi u^2$

16.

Solve the area of the circle given the general form $x^2+y^2-2x-8y-44=0$

a)

$49\pi u^2$

b)

$64\pi u^2$

c)

$81\pi u^2$

d)

$100\pi u^2$

17.

The line segment AB is the diameter of the circle O and the coordinates of the endpoint are (2,2) and (10,8). Which equation of a circle will is applicable to the given?

a)

$(x+6)^2+(y+5)^2=25$

b)

$(x-6)^2+(y-5)^2=25$

c)

$(x+6)^2+(y+5)^2=36$

d)

$(x-6)^2+(y-5)^2=36$

18.

What is the length of the diameter of the circle given the equation?

a)

2 units

b)

4 units

c)

8 units

d)

16 units

19.

A line segment between two points on the circle which passes through the center

a)

Radius

b)

Diameter

c)

Chord

d)

Tangent

20.

Write the equation of a circle with center
(7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

Q2_Summative Test 3

Total questions: 20

Worksheet time: 15mins

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