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Republic of the Philippines

Department of Education
QUARTER 3
Third Periodical Exam
MATHEMATICS 7

Name:________________________________________ Grade & Sec: ___________________________

DIRECTIONS: Read each question carefully and choose the answer from the alternatives that
follow. Write the LETTER only. Write your answer on a ONE WHOLE SHEET OF PAD
PAPER.

1. It has no length, no width, or thickness.


A. Point C. Plane
B. Line D. Space

2. Which of the following represents a line?


A. Floor C. Paper
B. Tip of a stick D. Ribbon

3. It is an angle that measures more than 0° but less than 90°.


A. Reflex Angle C. Right Angle
B. Obtuse Angle D. Acute Angle

4. Which of the following is a regular polygon?

5. It is formed when two angles are both adjacent and supplementary.


A. Complementary Angles C. Linear Pair
B. Vertical Angles D. Right Angles

6. A railway track is an example of ________________.


A. Concurrent Lines C. Intersecting Lines
B. Parallel Lines D. Perpendicular Lines

7. Two lines that intersect and form 90° angle.


A. Parallel Lines C. Intersecting Lines
B. Perpendicular Lines D. Straight Lines

8. If 𝑚∠𝑅=68°,what must be the measure of ∠𝐹 to be considered supplementary angles?


A. 120° C. 108°
B. 112° D. 100°

9. Which of the following measure is an acute angle if the value of 𝑥=20?


A. 5𝑥−27 C. 9𝑥+15
B. 𝑥−21 D. −𝑥+20

10. It is a closed plane figure that is determined by its non – collinear segments (sides) that
meets on a common endpoint (vertex).
A. Plane C. Polygon
B. Shape D. Angles

11. A circle is named after its _________________.


A. Center C. Diameter
B. Chord D. Radius

12. It is defined as the set of all points that are at the same distance from a given fixed point
in the plane.
A. Polygon C. Circle
B. Quadrilateral D. Plane

13. If 𝐴𝑀̅̅̅̅̅ is a radius that measures 3𝑥−2, what is the measure of its diameter?
A. 3𝑥−2 C. 6𝑥−4
B. 3𝑥−22 D. 4𝑥−6

14. Which of the following is the illustration of ray ML?

15. What is the length of FB?


A. 3 C. 7
B. 5 D. 9

16. Which of the following are congruent line segments?


A. 𝐵𝐶̅̅̅̅ 𝑎𝑛𝑑 𝐹𝐺̅̅̅̅ C. 𝐺𝐹̅̅̅̅ 𝑎𝑛𝑑 𝐵𝐴̅̅̅̅
B. 𝐴𝐵̅̅̅̅ 𝑎𝑛𝑑 𝐵𝐶̅̅̅̅ D. 𝐶𝐷̅̅̅̅ 𝑎𝑛𝑑 𝐸𝐹̅̅̅̅

17. Which of the following conditions satisfy a regular polygon?


A. Equilateral and congruent C. Equilateral and complementary
B. Equiangular and supplementary D. Equiangular and equilateral

18. If a certain polygon’s sum of interior angle is 900°, how many sides does the polygon
have?
A. Pentagon C. Heptagon
B. Nonagon D. Undecagon

19. The total number of diameter/s in a circle is _________________.


A. 1 only C. at least 5
B. Exactly 2 D. Infinite

20. Angles N and P are complementary. If 𝑚∠𝑁=65°, what is the measure of ∠𝑃?
A. 15° C. 105°
B. 25° D. 125°

21. Which of the following are linear pair based on the figure at the right?
A. ∠𝐸𝑆𝐴 𝑎𝑛𝑑 ∠𝐿𝑆𝐺 C. ∠𝐴𝑆𝑁 𝑎𝑛𝑑 ∠𝐿𝑆𝑁
B. ∠𝐸𝑆𝐴 𝑎𝑛𝑑 ∠𝐴𝑆𝑁 D. ∠𝐴𝑆𝑁 𝑎𝑛𝑑 ∠𝐸𝑆𝐿
22. If the complement of an angle is 45°, what is its supplement?
A. 115° C. 135°
B. 125° D. 145°

23. Which of the following best describes parallel lines?


A. Lines that meet at a point. C. Lines that never intersect.
B. Lines that form right angles. D. Lines that intersect at one point.

24. These are two angles whose sum of their measures is 180°.
A. Complementary Angles C. Linear Pair
B. Adjacent Angles D. Supplementary Angles

25. A railway track is an example of ________________.


A. Straight Lines C. Perpendicular Lines
B. Parallel Lines D. Intersecting Lines

26. It is the sum of exterior angles of a convex polygon.


A. 90° C. 270°
B. 180° D. 360°

27. A convex pentagon has 5 sides. What is the sum of its interior angles?
A. 180° C. 480°
B. 360° D. 540°

28. If the diameter of a circle is 4𝑥 and its radius is 𝑥+3. What are the measures of the
diameter and its radius?
A. 12 𝑎𝑛𝑑 6 C. 4 𝑎𝑛𝑑 2
B. 8 𝑎𝑛𝑑 4 D. 2 𝑎𝑛𝑑 1

29. If the diameter of circle P measures 12 in, what is the measure of its radius?
A. 12 cm C. 6 cm
B. 12 in D. 6 in

30. In a triangle, the 𝑚∠𝐴=𝑥, 𝑚∠𝐵=𝑥+10 𝑎𝑛𝑑 𝑚∠𝐶=𝑥+20, what is the 𝑚∠𝐴, 𝑚∠𝐵,𝑎𝑛𝑑 𝑚∠𝐶?
A. 30°,50°,𝑎𝑛𝑑 100° C. 50°,60°,𝑎𝑛𝑑 70°
B. 40°,60°,𝑎𝑛𝑑 80° D. 60°,60°,𝑎𝑛𝑑 80°

31. Two angles which share a common side, and a common vertex are called
________________.
A. Linear Pair C. Adjacent Angles
B. Vertical Angles D. Complementary Angles

32. Two lines that meet at a common point.


A. Intersecting Lines C. Perpendicular Lines
B. Parallel Lines D. Curve Lines

33. If 𝑚∠𝑁=(𝑥+10)°,what must be the measure of ∠𝑃 to be considered complementary


angles?
A. (70−𝑥)° C. (90−𝑥)°
B. (80−𝑥)° D. (100−𝑥)°

34. Two angles having the measurements of 10° and 80° are examples of ________________.
A. Adjacent Angles C. Supplementary Angles
B. Vertical Angles D. Complementary Angles

35. The sum of the measures of the interior angles of a convex polygon with 𝑛 sides is (𝑛 – 2)
180°.
A. Opposite Angle Theorem C. Exterior Angles Theorem
B. Pythagorean Theorem D. Interior Angles Theorem

36. What theorem states that the sum of the measures of the exterior angles of a convex
polygon, one angle at each vertex is 360°?
A. Interior Angles Theorem C. Pythagorean Theorem
B. Exterior Angles Theorem D. Opposite Angle Theorem

37. It is an angle whose vertex lies on the circle and the sides contain the chords of the
circle.
A. Central Angle C. Reflex Angle
B. Inscribe Angle D. Straight Angle

38. How many sides does a dodecagon have?


A. 9 C. 11
B. 10 D. 12

39. What is the sum of interior angles of a triangle?


A. 90° C. 270°
B. 180° D. 360°

40. If the sum if the interior angles of a polygon is 360°, how many sides does the polygon
have?
A. 3 C. 5
B. 4 D. 6

II. Use the figure to answer each item below. M

41. Identify the transversal line _______________________________


42. Identify a pair of parallel lines _______________________________
43. identify a pair of corresponding angles _______________________________

44 – 45. Identify two pairs of alternate interior angles. ________________________________


46 – 47. Identify two pairs of alternate exterior angles. ________________________________
48. Identify a pair of same -side interior angles ________________________________
49 – 50. Identify two pairs of vertical angles. ________________________________

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