Quiz about Q2_Summative Test 3

Question 1

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

Accepted Answer

Square

Answer

Parallelogram

Answer

Rectangle

Answer

Trapezoid

Question 2

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

Accepted Answer

11.7

Answer

9.7

Answer

10.7

Answer

12.7

Question 3

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

Accepted Answer

2.5 units

Answer

6.1 units

Answer

2 units

Answer

3.75 units

Question 4

How is the distance formula correctly written:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

What is the distance between the two points?

Accepted Answer

6.3

Answer

6.5

Answer

6.7

Answer

16

Question 6

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

Accepted Answer

Pythagorean Theorem

Answer

Heron's Formula

Answer

Special Triangle Theorem

Answer

Sum of angles theorem

Question 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?

Accepted Answer

4 square units

Answer

2 square units

Answer

5/2 square units

Answer

3 square units

Question 8

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

Accepted Answer

(-4,-1)

Answer

(4,1)

Answer

(-4,1)

Answer

(4,-1)

Question 9

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 10

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

Accepted Answer

Isosceles triangle

Answer

Scalene triangle

Answer

Equilateral trianlge

Answer

Obtuse triangle

Question 11

Which equation do not represent a circle?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 13

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

Accepted Answer

(2,-5)

Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Question 14

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 15

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

Accepted Answer

$$9\pi u^2$$

Answer

$$10\pi u^2$$

Answer

$$11\pi u^2$$

Answer

$$12\pi u^2$$

Question 16

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

Accepted Answer

$$64\pi u^2$$

Answer

$$49\pi u^2$$

Answer

$$81\pi u^2$$

Answer

$$100\pi u^2$$

Question 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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 18

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

Accepted Answer

8 units

Answer

2 units

Answer

4 units

Answer

16 units

Question 19

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

Accepted Answer

Diameter

Answer

Radius

Answer

Chord

Answer

Tangent

Question 20

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

Accepted Answer

(x - 7)² + y² = 9

Answer

x² + (y -7)² = 9

Answer

(x - 7)² + y² = 3

Answer

x² + (y -7)² = 3

Q2_Summative Test 3

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