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PT G7 Mathematics

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THIRD PERIODICAL TEST IN MATHEMATICS 7

NAME: ____________________________ GR.& SEC._________ SCORE:________

Directions: Read the sentences below and identify what they refer to from the given choices below
each. Write the letter of your answer directly in the blank.

_____1. If A and B are supplementary angles, then mA + mB =_____.


A. 100° C. 180°
B. 80° D. 90°
_____2. If mA + mB = 90°, then A and B are _____ angles.
A. cute C. complementary
B. right D. supplementary
_____3. A and B are supplementary. If the measure of mA = 70°, then
mB =_____.
A. 20° C. 110°
B. 30° D. 60°
_____4. The symbol " " means _____.
A. not equal to C. congruent
B. perpendicular D. parallel
_____5. Linear pair is composed of two non-adjacent angles.
A. True C. False
B. Sometimes D. cannot be determined
_____6. Which of the following statements is TRUE?
A. An angle is formed by two noncollinear rays.
B. Two points determine an angle.
C. An angle divides a plane into two distinct parts.
D. Two distinct angles cannot share an interior point.
_____7. What is the sum of the measures of supplementary angles?
A. 45° B. 50° C. 90° D. 180°
_____8. On the figures at the right, ∠𝑅𝐿𝐴 and ∠𝐴𝐿𝐹 are complementary
angles. If 𝑚∠𝐴𝐿𝐹 = 25, then what is the measure of 𝑚∠𝑅𝐿𝐴?
A. 25 B. 55 C. 65 D. 155
_____9. Which of the following pairs of angles has a sum equal to 90°?
A. complementary angles C. obtuse angles
B. linear pairs D. supplementary angles
_____10. Which of the following angles has measured of less than 90° but greater than 0 0?
A. acute angle C. right angle
B. obtuse angle D. straight angle
_____11. In the figure at the right, 𝑚∠𝑋𝑌𝑍 = 75°, what kind of angle does it
form?
A. acute angle C. right angle
B. obtuse angle D. straight angle
_____12. All of the following are measures of an obtuse angle EXCEPT:
A. 95° B. 110° C. 120° D. 190°
_____13. Given the figure at the right, if ∠𝐴𝐵𝐶 = 90°, which of the following statements is
TRUE?
A. ∠𝐴𝐵𝐶 is an acute angle. C. ∠𝐴𝐵𝐶 is an obtuse angle.
B. ∠𝐴𝐵𝐶 is a right angle. D. ∠𝐴𝐵𝐶 has no known classification.
_____14. Which of the following is a measure of an acute angle?
A. 170° B. 150° C. 90° D. 80°
_____15. If 𝑚∠𝑀𝐴𝑇 = 135° and 𝑚∠𝐻𝐴𝐸 = 45° , then which of the following could describe the
two angles?
A. complementary angles C. supplementary angles
B. vertical angles D. forms a right angle
_____16.Given the figures at the right, what can you conclude about the two
angles?
A. linear pairs C. vertical angles
B. congruent angles D. perpendicular to each other
_____17.Which of the following is true about parallel lines?
A. coplanar lines that do not intersect no matter how far they are
extended
B. two lines with a common point
C. three or more lines that have a common point
D. straight lines that do not intersect and are not on the same plane

For items No. 13 – 14, consider the figure below:

_____18.Which of the following are vertical angles?


A. 1 and 2 C. 2 and 4
B. 1 and 4 D. 2 and 3
_____19.Which of the following form a linear pair?
A. 1 and 2 C. 2 and 4
B. 1 and 3 D. None of these.
_____20. Which of the following describes the perpendicular lines?
A. lines that intersect to form a right angle
B. lines that meet at a common point
C. lines that do not meet
D. lines that meet to form complementary angles
_____21. These lines do not intersect each other and they lie on the same plane.
A. Line segments C. Perpendicular lines
B. Parallel lines D. Transversal lines
_____22.These are lines that intersect with each other and form right angles.
A. Line segments C. Perpendicular lines
B. Parallel lines D. Transversal lines
_____23. It is a line segment or a ray that is perpendicular to the segment at its midpoint, thereby
bisecting the segment into two congruent segments.
A. Angle bisector C. Perpendicular lines
B. Parallel lines D. Perpendicular bisector
_____24. What geometric figures are the sides of a triangle?
A. Line C. Point
B. Line Segment D. Ray
_____25. Which of the following is a Euclidean tool?
A. Clip C. Pencil
B. Compass D. Protractor
_____26. Which of the following is ALWAYS TRUE?
A. If two lines or segments intersect and form a right angle, then they are perpendicular.
B. If two lines or segments intersect and form an acute angle, then they are perpendicular.
C. If two lines or segments intersect and form an obtuse angle, then they are perpendicular.
D. If two lines or segments intersect, then they are perpendicular.
_____27. BD is an angle bisector of <ABC, forming <ABD and < DBC. Describe the relationship
between <ABD and < DBC.
A. They are always congruent.
B. They are seldom congruent.
C. They are never congruent.
D. They are sometimes congruent.

For items 8-10, use the figure below.

_____28. If BDA ADC, which of these is the angle bisector of BDC?


A. DA B. DB C. DC D. DE
_____29. If ADC CDE, which of these is the angle bisector of ADE?
A. DA B. DB C. DC D. DE
_____30. If DA is an angle bisector of BDC, which of the following is true?
A. DB DA B. ADC CDE C. BDA CDE D./ BDA ADC
_____31. What does the tool on the right called?
A. Compass C. Pencil swingy-thing
B. Circle creator D. Arc maker
_____32. Which diagram shows a correct mathematical construction using
only a compass and a straightedge to bisect an angle?

A. I C. III
B. II D. IV
_____33. What does the word bisect mean?
A. To cut something into more than five pieces.
B. To cut something into two parts (of any size)
C. To cut something into small pieces
D. To cut something into two congruent pieces or in half.
_____34. Which statement best describes the construction?
A. Ray OC trisects angle BOA.
B. Ray OC is parallel to ray OA.
C. Ray OC is parallel to both rays OA and OB.
D. Ray OC bisects angle BOA.
_____35. What does a straightedge be used to when bisecting an angle?
A. Mark the point M.
B. Measure the angle AOB.
C. Copy the angle with an arc.
D. Connect point M and vertex O.
_____36. What geometric construction is shown in the diagram below?
A. an angle bisector
B. a line parallel to a given line
C. an angle congruent to a given angle
D. a perpendicular bisector of a segment

_____37.
Gwenn is using a straightedge and compass to do the construction
shown.

Which best describes the construction Gwenn is doing?


A. a line through P parallel to line I
B. a line through P intersecting line I
C. a line through P congruent to the line I
D. a line through P perpendicular to line I
_____38. What must be the measure of the angles formed when
constructing perpendicular lines?
A. 60° C. 120°
B. 90° D. 180°
_____39. Which step should we do first when constructing line parallel to line AB using a compass
and straightedge?
A. Draw a transverse line.
B. Draw a point off to the given line.
C. Draw an arc across both lines.
D. Draw a straight line through a certain point.
_____40. What will be the relationship of line RS to line JQ in the given image?
A. Parallel
B. Congruent
C. Similar
D. Perpendicular

_____41. Which of these figures are considered convex polygon?

_____42. What is a polygon?


A. A closed figure made up of straight line segments
B. A closed figure made up of curved edges
C. An open figure made up of straight line segments
D. A closed figure made up of crossed line segments
_____43. A polygon has to have
A. at least two sides C. four or more sides
B. at least three sides D. no side
_____44. What do you call a six-sided polygon?
A. A Heptagon C. A Henagon
B. A Hexagon D. A Pentagon
_____45. A diagonal is what?
A. A polygon with four sides.
B. A 90-degree angle.
C. A segment that cuts through a polygon at 45 degrees.
D. A segment that connects any two nonconsecutive vertices in a polygon.
_____46. It is a set of all points of the plane at a given distance from a fixed point of the plane called
the center.
A. angle C. circle points
B. arc
_____47. A circle is named by its _________.
A. center C. arc
B. point D. circumference
_____48. The ________ of a circle is the distance from the center of a circle to any point on the
circle.
A. Radius C. center
B. diameter D. chord
_____49. What is CB?
A. center
B. radius
C. circumference
D. diameter
_____50. The distance across a circle through the center is called the __________.
A. Circumference C. area
B. radius D. diameter
_____51. The diameter is _____.
A. the same as the radius C. 3 times the radius
B. 4 times the radius D. 2 times the radius
_____52. A circle is a shape with all its points the same distance from its _____.
A. Radius C. center
B. diameter D. chord
_____53. Which of the following is true?
A. Arc of a circle is part of the circumference.
B. Arc of a circle is part of the chord.
C. Arc of a circle is part of the diameter.
D. Arc of a circle is part of the radius.
_____54. What is a chord?
A. a straight line from the center of the circle to a point on the circle.
B. a straight line from one point on the circle to another point on the circle.
C. a curved part of a circle.
D. the distance around a circle.
_____55. The statement “The diameter is the longest chord in a circle”, is ___________.
A. always true
B. always false
C. sometimes true and sometimes false
D. cannot be determined
_____56. Find the perimeter of a triangular piece of cloth measuring 3.84 cm, 6.23 cm, and 5.6 cm.
A. 15.67 cm
B. 14. 113 cm C. 15. 14 cm D. 15.97 cm
_____57. How many sides does a convex polygon have if the sum of measures of its angles is
900?
A. 6 B. 7 C. 8 D. 5
_____58. Find the sum of the measure of the interior angles of a regular decagon.
A. 1200 C. 14400
B. 1800 D. 144 0
0 0
_____59. Triangle DEF is an isosceles triangle, where D = 80 ; mE = 20
. Find the measure of F.

A. 600 B. 80 C. 200 D. 45 0
_____60. The sum of the measures of the interior angles of a convex polygon is 2700o. Find the
number of sides.
A. 14 B. 16 C. 18 D. 17

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