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Mathematics 9: 1st Term Examination Reviewer

Mathematics

This reviewer covers key concepts in Mathematics 9 for the 1st Term Examination, including angles formed by parallel lines and transversals, slope, intercepts, linear equations, properties of quadrilaterals, parallelograms, rhombi, and rectangles. It includes definitions, properties, and problem-solving examples.

Geometry Algebra Linear Equations
37 Questions Medium Ages 14+ Sep 1, 2026

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About this Study Set

This study set covers Mathematics through 37 practice questions. This reviewer covers key concepts in Mathematics 9 for the 1st Term Examination, including angles formed by parallel lines and transversals, slope, intercepts, linear equations, properties of quadrilaterals, parallelograms, rhombi, and rectangles. It includes definitions, properties, and problem-solving examples. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

Questions & Answers

Browse all 37 questions from the Mathematics 9: 1st Term Examination Reviewer study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 Which term describes ∠2 and ∠3?
  • A Same-side interior angles
  • B Corresponding angles
  • C Alternate interior angles
  • D Vertical angles
2 Which pair represents corresponding angles?
  • A ∠2 and ∠7
  • B ∠3 and ∠2
  • C ∠4 and ∠2
  • D ∠1 and ∠3
3 Which pair represents alternate interior angles?
  • A ∠1 and ∠7
  • B ∠2 and ∠3
  • C ∠4 and ∠8
  • D ∠5 and ∠7
4 What is the relationship between ∠4 and ∠2?
  • A Corresponding angles
  • B Vertical angles
  • C Same-side interior angles
  • D Alternate interior angles
5 Two angles are complementary when their measures have a sum of:
  • A 270°
  • B 90°
  • C 360°
  • D 180°
6 What is the sum of supplementary angles?
  • A 180°
  • B 360°
  • C 90°
  • D 270°
7 If m∠5 = 118°, what is m∠7?
  • A 62°
  • B 72°
  • C 118°
  • D 180°
8 If m∠4 = 132°, what is m∠7?
  • A 48°
  • B 58°
  • C 132°
  • D 180°
9 Which expression correctly defines the slope of a nonvertical line?
  • A Change in x divided by change in y
  • B Change in y divided by change in x
  • C Product of the intercepts
  • D Number of points on the line
10 In the equation y = −2x + 7, what is the y-intercept?
  • A −2
  • B x
  • C 7
  • D −2x
11 Determine the slope of the line passing through (−2, 8) and (2, −4).
  • A 3
  • B −3
  • C −2
  • D 2
12 Which equation has a slope of −3 and an x-intercept of 4?
  • A y = 3x − 12
  • B y = −3x − 12
  • C y = −3x + 12
  • D y = 3x + 12
13 When solving a linear equation by setting y = 0, what are you finding?
  • A y-intercept
  • B Slope
  • C Range
  • D x-intercept
14 A delivery service uses C = 12d + 40. What does 40 represent?
  • A The initial fee before distance is added
  • B The cost per kilometer
  • C The total distance traveled
  • D The final delivery cost
15 A computer shop charges a fixed fee of ₱40 plus ₱10 per hour. If a student has ₱120, which equation determines h?
  • A 40h + 10 = 120
  • B 10h + 40 = 120
  • C 120h + 10 = 40
  • D 10h − 40 = 120
16 Using 10h + 40 = 120, why is 8 hours the greatest possible whole-number answer?
  • A Eight hours is the first possible value.
  • B Eight hours makes the membership fee zero.
  • C Eight hours costs ₱120, while 9 hours costs more than the budget.
  • D Eight hours gives the largest unused amount.
17 Solve: 5x + 7 = 32
  • A 25
  • B 7
  • C 5
  • D 3
18 Two nonvertical lines are parallel if they have:
  • A equal slopes
  • B opposite y-intercepts
  • C reciprocal slopes
  • D slopes whose product is −1
19 Which condition guarantees that two distinct lines are perpendicular?
  • A Their slopes are equal.
  • B Their slopes have a product of −1.
  • C Their y-intercepts are equal.
  • D Their x-intercepts are equal.
20 A line has a slope of −3/5. What is the slope of a line parallel to it?
  • A 5/3
  • B −5/3
  • C 3/5
  • D −3/5
21 Line r is y = −4x + 3. Line s is y = 1/4x − 7. What conclusion is justified?
  • A The lines are parallel.
  • B The lines are perpendicular.
  • C The lines are the same line.
  • D The lines have equal y-intercepts.
22 Which polygon has exactly four sides, four angles, and four vertices?
  • A Triangle
  • B Circle
  • C Quadrilateral
  • D Pentagon
23 A quadrilateral with two pairs of opposite sides parallel is called a:
  • A Kite
  • B Trapezoid
  • C Parallelogram
  • D Pentagon
24 Why is every square a rhombus, but not every rhombus a square?
  • A A rhombus has no congruent sides.
  • B A square has four congruent sides and four right angles, while a rhombus does not necessarily have right angles.
  • C A square has only two congruent sides.
  • D A rhombus has no parallel sides.
25 A quadrilateral has two pairs of parallel sides and four congruent sides, but no right angles are given. What is its most specific classification?
  • A Rectangle
  • B Rhombus
  • C Kite
  • D Trapezoid
26 What is the sum of the interior angles of a quadrilateral?
  • A 360°
  • B 90°
  • C 270°
  • D 180°
27 Three angles of a quadrilateral measure 72°, 91°, and 84°. What is the fourth angle?
  • A 103°
  • B 113°
  • C 123°
  • D 93°
28 Which property of the diagonals of a parallelogram is always true?
  • A They are always perpendicular.
  • B They always have equal lengths.
  • C They bisect each other.
  • D They form four right angles.
29 In parallelogram PQRS, diagonals PR and QS intersect at O. If PO = 4x − 3 and OR = 21, what is x?
  • A 4
  • B 5
  • C 6
  • D 7
30 In parallelogram RSTU, m∠R = 68°. What is m∠S?
  • A 68°
  • B 112°
  • C 90°
  • D 122°
31 Opposite sides of a parallelogram are represented by 5x + 2 and 32. Find x.
  • A 5
  • B 6
  • C 7
  • D 8
32 Which is NOT always a property of a parallelogram?
  • A Opposite sides are congruent.
  • B Opposite angles are congruent.
  • C Diagonals bisect each other.
  • D Diagonals are always congruent.
33 Which statement is NOT necessarily true about parallelogram ABCD?
  • A AB ≅ CD
  • B BC ≅ AD
  • C AC is perpendicular to BD
  • D The diagonals bisect each other.
34 In parallelogram ABCD, if DC = 22, what is AB?
  • A 11
  • B 22
  • C 44
  • D 14
35 If EC = 14 in parallelogram ABCD, how long is AC?
  • A 7
  • B 14
  • C 28
  • D 42
36 If ∠BAC = 48° and AB || DC, what is the angle formed by DC and AC at C?
  • A 32°
  • B 42°
  • C 48°
  • D 90°
37 In parallelogram ABCD, if ∠A = 80°, what is ∠B?
  • A 80°
  • B 90°
  • C 100°
  • D 120°
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