MATH 4TH QUARTER EXAM QUESTIONS AND
ANSWERS 2023;VERIFIED 100%
What do you call angles that are on opposite sides of the transversal and are
found inside the two parallel lines?
alternate interior angles
Which of the following is true about consecutive interior angles formed by
parallel lines cut by a transversal?
they are supplementary
In the figure below, l1, l2,
If m∠1=43∘, what is m∠3∘?
43∘
If mm∠1=43∘, what is m∠6∘?
137∘
If m∠2=60∘, what is m∠3?
In the figure, l1,l2 and l3 are parallel lines cut by transversals t1 and t2.
30∘
If m∠2=60∘, what is m∠9?
60
In the figure, there are two pairs of parallel lines and each pair is cut by the same
transversal. Find the measure of x.
25
In the figure below, there are two pairs of parallel lines and each pair is cut by the
same transversal.
Find the value of y.
35
In the figure below, there are two pairs of parallel lines and each pair is cut by the
same transversal.
What is m∠A?
120
In the figure below, there are two pairs of parallel lines and each pair is cut by the
same transversal.
What is m∠C?
120
What must be true of corresponding angles formed by two lines and a transversal
that cuts the lines for the lines to be parallel?
the corresponding angles must be congruent
What must be true of consecutive interior angles formed by two lines and a
transversal that cuts the lines for the lines to be parallel?
the consecutive interior angles must be supplementary
, What must be true of alternate exterior angles formed by two lines and a
transversal that cuts the lines for the lines to be parallel?
the alternate exterior angles must be congruent
If m∠3+m∠5=178°, is AB parallel to CD?
never
If m∠3=m∠6m, is AB parallel to CD?
always
If m∠8=125°, what must m∠3 be so that AB∥CD?
55
If m∠5=m∠8°, can one say that AB∥CD?
No
Refer to the figure below. A two-column proof will be constructed step by step.
You are to give the reason for the given statement in the current step.
Given: m∠1=m∠4, ∠3, and ∠4 are supplementary.
Prove: l∥m
m∠3 + m∠4 = 180
definition of Supplementary Angles
Given: m∠1=m∠4, ∠3, and ∠4 are supplementary.
Prove: l∥m
m∠2 = m∠3
Vertical angle theorem
Given: m∠1=m∠4, ∠3, and ∠4 are supplementary.
Prove: l∥m
consecutive interior angles are supplementary
What do you call the set of all possible results of an experiment?
sample space
In tossing a coin, a head shows up. What do we call the tossing of the coin?
experiment
How many elements does the sample space for rolling a die have?
6
For questions 4 to 5, refer to the following situation:
Mary is undecided on what to wear. For her upper garment, she may choose
between shirt or a blouse. For her lower garment, she may choose between pants
or shorts. After some time, she finally went out in shorts and shirt.
What is the experiment in the given situation?
choosing what to wear for her upper and lower garments.
For questions 4 to 5, refer to the following situation:
Mary is undecided on what to wear. For her upper garment, she may choose
between shirt or a blouse. For her lower garment, she may choose between pants
ANSWERS 2023;VERIFIED 100%
What do you call angles that are on opposite sides of the transversal and are
found inside the two parallel lines?
alternate interior angles
Which of the following is true about consecutive interior angles formed by
parallel lines cut by a transversal?
they are supplementary
In the figure below, l1, l2,
If m∠1=43∘, what is m∠3∘?
43∘
If mm∠1=43∘, what is m∠6∘?
137∘
If m∠2=60∘, what is m∠3?
In the figure, l1,l2 and l3 are parallel lines cut by transversals t1 and t2.
30∘
If m∠2=60∘, what is m∠9?
60
In the figure, there are two pairs of parallel lines and each pair is cut by the same
transversal. Find the measure of x.
25
In the figure below, there are two pairs of parallel lines and each pair is cut by the
same transversal.
Find the value of y.
35
In the figure below, there are two pairs of parallel lines and each pair is cut by the
same transversal.
What is m∠A?
120
In the figure below, there are two pairs of parallel lines and each pair is cut by the
same transversal.
What is m∠C?
120
What must be true of corresponding angles formed by two lines and a transversal
that cuts the lines for the lines to be parallel?
the corresponding angles must be congruent
What must be true of consecutive interior angles formed by two lines and a
transversal that cuts the lines for the lines to be parallel?
the consecutive interior angles must be supplementary
, What must be true of alternate exterior angles formed by two lines and a
transversal that cuts the lines for the lines to be parallel?
the alternate exterior angles must be congruent
If m∠3+m∠5=178°, is AB parallel to CD?
never
If m∠3=m∠6m, is AB parallel to CD?
always
If m∠8=125°, what must m∠3 be so that AB∥CD?
55
If m∠5=m∠8°, can one say that AB∥CD?
No
Refer to the figure below. A two-column proof will be constructed step by step.
You are to give the reason for the given statement in the current step.
Given: m∠1=m∠4, ∠3, and ∠4 are supplementary.
Prove: l∥m
m∠3 + m∠4 = 180
definition of Supplementary Angles
Given: m∠1=m∠4, ∠3, and ∠4 are supplementary.
Prove: l∥m
m∠2 = m∠3
Vertical angle theorem
Given: m∠1=m∠4, ∠3, and ∠4 are supplementary.
Prove: l∥m
consecutive interior angles are supplementary
What do you call the set of all possible results of an experiment?
sample space
In tossing a coin, a head shows up. What do we call the tossing of the coin?
experiment
How many elements does the sample space for rolling a die have?
6
For questions 4 to 5, refer to the following situation:
Mary is undecided on what to wear. For her upper garment, she may choose
between shirt or a blouse. For her lower garment, she may choose between pants
or shorts. After some time, she finally went out in shorts and shirt.
What is the experiment in the given situation?
choosing what to wear for her upper and lower garments.
For questions 4 to 5, refer to the following situation:
Mary is undecided on what to wear. For her upper garment, she may choose
between shirt or a blouse. For her lower garment, she may choose between pants
