MACABUD NATIONAL HIGH SCHOOL

Macabud, Rodriguez, Rizal

Third Periodical Examination in Mathematics

Name:_________________________________Section:__________________Score: _____________

I. Directions: Multiple Choice. Read the following statements carefully .Choose the letter that best describes the
statement.
______1. Is the statement “corresponding parts of congruent triangles are congruent” based on
a. Definition b. Theorem c. Postulate d. Axiom
-----------2. What property of congruence is illustrated in the statement? If AB ≅ DE, EF ≅ DE then AB ≅ EF.
a. Symmetric c. Reflexive b. Transitive d. Multiplication
______3. ΔABC ≅ ΔDEF, which segment is congruent to AB:
a. BC b. AC c. DE d. EB
______4. ΔSUM ≅ ΔPRO, which angle is congruent to ∠M?
a. S b. P c. R d. O
______5. ΔTIN ≅ ΔCAN, then ΔNAC is congruent to ____.
a. ΔITN b. ΔNIT c. ΔTNI d. ΔINT
______6. Jancent knows that AB = XY and AC = XZ. What other information must he know to prove
ΔABC ≅ ΔXYZ by SAS postulate?
a. ∠B ≅ ∠Y b. ∠C ≅ ∠Z c. ∠A ≅ ∠X
______7. Miguel knows that in ΔMIG and ΔJAN, MI = JA, IG = AN, and MG = JN. Which postulate or theorem
can he use to prove the triangles congruent?
a. ASA b. AAS c. ASA d. SSS
______8. In ΔABC, AB = AC. If m∠B = 80, find the measure of ∠A.
a. 20 b. 80 c. 100 d. 180
______9. The measure of an exterior angle of a triangle is always ____________.
a. greater than its adjacent interior angle. b. less than its adjacent interior angle.
c. greater than either remote interior angle. d. less than either remote interior angle.
_____10. Which of the following best describes deductive reasoning?
a. using logic to draw conclusions based on accepted statements
b. accepting the meaning of a term without definition
c. defining mathematical terms in relation with physical objects
d. inferring a general truth by examining a number of specific examples
_____11. Theorem: A triangle has at most one obtuse angle.
Francisco is proving the theorem above by contradiction. He began by assuming that in ΔABC, ∠A
and ∠B are both obtuse. Which theorem will Francisco use to reach a contradiction?
a. If two angles of a triangle are congruent, the sides opposite the angles are congruent.
b. If two supplementary angles are congruent, each angle measures 90°.
c. The largest angle in a triangle is opposite the longest side.
d. The sum of the measures of the angles of a triangle is 180°.
_____12. If m∠R + m∠M = 90° then
a. ∠R ≅ ∠M. b. ∠R and ∠M are right angles.
c. ∠R and ∠M are complementary. d. ∠R and ∠M are supplementary.
______13. The converse of the statement:” if you are in love then you are inspired”, is,
a. If you are not in love, then you are not inspired.
b. If you are inspired, then you are in love.
c. If you are not inspired, then you are not in love.
d. if you are in love, you are not inspired.
______14. The if-then form of the statement: "Parallel lines never intersect”, is:
a. If two lines intersect, then they are parallel.
b. If two lines are parallel, then they never intersect.
c. if two lines are not parallel then they intersect.
d. If two lines intersect, then they are not parallel.
______15. What is the inverse of the statement,:” If the number is divisible by 2 and 3, then it is divisible by 6”.
a. If the number is divisible by 6, then it is divisible by 2 and 3.
b. If the number is not divisible by 2 and 3, then it is not divisible by 6.
c. If the number is not divisible by 6, then it is not divisible by 2 and 3.
d. If the number is divisible by 2 and 3, then it is not divisible by 6.
----------16. What property is illustrated in : If ∠A ≅ ∠B, ∠B ≅ ∠C then ∠A ≅ ∠C.
a. Reflexive Property b. Symmetric Property
c. Transitive Property d. Addition Property
 _____17. Using the distributive property, 4 (a + b) = _________.
a. 4a + b b. B + 4a c. 4a + 4b d. 4 + a + b

_____18. Supply a valid conclusion for the given hypothesis: if OM bisects ∠LON then
a. ∠LOM ≅ ∠NOM b. ∠LOM ≅ ∠LON
c ∠MON ≅ ∠NOL d. m∠LON = m∠LOM + m∠MON
_____19. The method of proof by contradiction is:
a. direct proof b. formal proof c. indirect proof d. two column proof
_____ 20. If garbage are disposed properly then dengue diseases will be prevented. What is the underlined
portion called in the conditional statement?
a. the conclusion b. the hypothesis c. the argument d. the converse
_____21. Which of the following statements is true?
a. If ∠1 has a measure of 90∠1,then ∠1 is obtuse.
b. If ∠1 has a measure of 140°, then ∠1 is acute.
c. If ∠1 has a measure of 35°, then ∠1 is acute.
d. If ∠1 has a measure of 180°,then ∠1 is right.
______22. Which of the following statements is false?
a. Any four non-collinear points lie in a distinct plane.
b. A plane contains at least 3 non-collinear points.
c. Any two lines intersect at a point.
d. Through two given points we can draw three lines.
______ 23. Rewrite the statement in if-then form.
a. A figure has four sides if and only if it is a quadrilateral.
b. If a figure is a quadrilateral, then it has four sides.
c. If a figure has four sides, then it is a quadrilateral.
d. A figure is a quadrilateral if and only if it has four sides.
______ 24. Name the property which justifies the following conclusion.
Given : JB = 28
Conclusion : JB + 4 = 32
a. Addition property of equality b. Multiplication property of equality
c. Substitution property of equality d. Transitive property of equality
________25. In ΔTRU, TR = 8 cm, RU = 9 cm, and TU = 10 cm. List the angles in order from least to greatest
measure.
a. m∠T, m∠R, m∠U c. m∠R, m∠T, m∠U
b. m∠U, m∠T, m∠R d. m∠U, m∠R, m∠T

II. Direction: IV. Fill in the blanks. Choose your answer on the box below.
_______26. The sum of the measures of the angles of a triangle is ________.
_______27. An isosceles triangle has _______ congruent sides.
_______28. An equilateral triangle has _______ sides congruent.
_______29. Two angles are complementary if the sum of their measures is ______.
_______30. Vertical angles are ___________.
_______31. An equilateral triangle is ____________.
_______32. The measure of each angle of an equilateral triangle is _______.
_______33. Two triangles are congruent if their ________ can be paired such that corresponding sides are
congruent and corresponding angles are congruent.
_______34. Vertical angles refer to two non-adjacent angles formed by two __________ lines.

180° 90° 60° two three congruent

Equiangular vertices intersecting parallel angle

35-40: Given ΔFOR, answer the following questions.