MATHira-MATHibay (Difficult)

Considering the given figure, which correctly describes a pair of corresponding angles?

• They have the same measure

• They have the same vertex

• They are cut by a transversal

• They are all parallel

In the figure, triangle ABE is congruent to triangle CBD.

Which will NOT justify this statement?

• Line segment AD is congruent to line segment EC

• Angle E is congruent to angle D

• Line segment AB is congruent to line segment BC

• Angle C is congruent to angle B

In circle 0, EF is a diameter. If m<FOD = 52◦. What is the measure of arc DEF?

• 52◦

• 256◦

• 104◦

• 308◦

The equation of a circle whose center is at (3,4) and whose radius is 5.

• $\left(x-4\right)^2+\left(y-3\right)^2=25$

• $\left(x+4\right)^2+\left(y+3\right)^2=25$

• $\left(x+3\right)^2+\left(y+4\right)^2=25$

• $\left(x-3\right)^2+\left(y-4\right)^2=25$

 $P(x)=-3x^3+2x^2-5x+1$  Which among the following binomial will have the greatest remainder when used as divisor of P(x)?

•  $x-1$  

•  $x+1$  

•  $x-2$  

•  $x-3$  

 $P(x)=2x^4-3x^3+3x^2+x+1$ What is the remainder when P(x) is divided by the binomial  x – 1?

• 0

• 1

• 3

• 4

How will you describe the zeros of a function if the discriminant is greater than 0?
 $b^2-4ac>0$ 

• There are two zeros real and equal.

• There are two zeros not real and unequal.

• There are two zeros real and unequal.

• There are no real roots.

 $8.f(x)=x^2-11x+28$ 
At what point will the graph touch or cross the x- axis?

• -4 and -7

• 4 and 7

• -2 and -14

• 2 and 14

 $f(x)=x^2-4x-5$  
What should be added to both sides of the equation to complete the square?

• 3

• 4

• 5

• 6

Rowena’s average in her 7 subjects is 86. What must be her ratings in the 8^th subject so that her average will increase by 1 point?

• 88

• 87

• 94

• 90