24. What do you call the longest side of the triangle? A. leg B. base C. hypotenuse D. none of the above 25. Which of the following statements defines congruent triangle? A. Congruent triangles have corresponding sides. B. Congruent triangles have the same length and same measure. C. Congruent triangles have corresponding angles having the same measure. D. All of the above. 26-31 State its (a) Converse, (b) Inverse, (c) Contrapositive the statement. ( 2 points) If two angles form a linear pair, then they are supplementary a. Converse: b Inverse: c. Contrapositive: 32-41 Use inductive reasoning to find the next five terms of each sequence 1, 10, 100, 1000, _____, _____, _____, _____, _____ 1, 3, 9, 27, 81, _____, _____, _____, _____, _____ 42-44 Write the negation of each statement. a. A point has no dimension. b. Intersecting lines are coplanar. c. Two acute angles are congruent. 45- 50 Complete each set of syllogism (2 points each) a. If you are a customer, then you are always right. b. c. Ariel is always right. a. b. Ramon obeys traffic rules. c. the life he saves may be his own. a. Congressman are lawmakers. b. Mr. Aries is a congressman. c.
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Sai S.
Questions 12-14. Identify the special name for ∠3 and ∠10. (A) consecutive interior (B) alternate exterior (C) alternate interior (D) corresponding Given ∠1 ≅ ∠5, which postulate or theorem justifies that p || q? (A) Converse of Corresponding Angles Postulate (B) Consecutive Interior Angles Converse (C) Alternate Exterior Angles Converse (D) Alternate Interior Angles Converse If m∠4 = 7x - 20 and m∠8 = 5x + 18, find the value of x so that p || q. (A) 219 (B) -1 (C) 1 (D) 19 If A, B, and N are collinear and AB + BN = AN, which point is between the other two points? (A) A (B) B (C) N (D) cannot tell If a + b ≤ 8 and a = 2, then b ≤ 5. Which of the following would be a counterexample? (A) b = 3 (B) b = 5 (C) b = 6 (D) b = a Which law can be used to determine that the conclusion is valid based on the given statements? Given: If an angle is acute, then it cannot be obtuse. ∠A is acute. Conclusion: ∠A cannot be obtuse. (A) Law of Detachment (B) Law of Syllogism (C) Law of Converse (D) The conclusion is not valid.
Lashaumbe J.
1. In the same figure, what conditions guarantee that the quadrilateral is a parallelogram if ΔDAB ≅ ΔBCD? A. A quadrilateral is a parallelogram if both pairs of opposite sides are congruent. B. A quadrilateral is a parallelogram if both pairs of opposite angles are congruent. C. A quadrilateral is a parallelogram if the diagonals bisect each other. D. A quadrilateral is a parallelogram if each diagonal formed two congruent triangles. 2. What are the measures of the other three angles of the parallelogram (in no particular order) if one of its angles measures 115°? A. 65°, 65°, 115° B. 30°, 60°, 90° C. 60°, 90°, 115° D. 65°,115°, 115° 3. In parallelogram ABCD, if AC + BD = 24 cm, and CE = 5cm, what is the length of BD? A. 5cm B. 7cm C. 10 cm D.14 cm 4. Two opposite angles of a parallelogram measures x + 40° and 3x - 20°, what is the value of x? A. 10 B. 30 C. 60 D. 70 5 A study table in a form of a parallelogram has a perimeter measuring 56 inches. If one pair of the opposite side measures 2x - 5 and x + 3, what are the dimensions of the study table? A. 34 inches x 22 inches B. 17 inches x 11 inches C. 30 inches x 26 inches D. 15 inches x 13 inches 1. How do you describe any two opposite angles in a parallelogram? A. They are always congruent C. They are complementary B. They are supplementary D. They are both right angles 2. Which of the following statement is true? A. Every square is a rectangle C. Every rhombus is a rectangle B. Every rectangle is a square D. Every parallelogram is a rhombus 3. What can you say about any two consecutive angles in a parallelogram? A. They are always congruent B. They are always supplementary C. They are sometimes complementary D. They are both right angles 4. Which of the following quadrilaterals has diagonals that do not bisect each other? A. Square B. Rhombus C. Rectangle D. Trapezoid 5. Which of the following conditions is not sufficient to prove that a quadrilateral is a parallelogram? A. Two pairs of sides are parallel. B. Two pairs of opposite sides are congruent. C. Two consecutive angles are supplementary. D. Two diagonals bisect each other. 6. Which of the following is NOT true about rectangles? A. Diagonals are congruent. C. All angles are congruent. B. Diagonals are perpendicular. D. All angles are right angles. 7. How do you call a parallelogram whose all angles are right angles and all sides are congruent? A. Square B. Rectangle C. Rhombus D. Trapezoid 8. Which of the following statements is never true? A. A square is a rectangle C. A rhombus is a parallelogram B. A parallelogram is a rectangle D. A rectangle is a rhombus 9. Which of the following statements is false? A. The diagonals of the rectangle are congruent. B. Diagonals of the rhombus are congruent and perpendicular to each other. C. Opposite angles of a rhombus are congruent. D. Angles of a square are all right angles. 10. How will you describe the diagonals of a rhombus? A. Equal B. Parallel C. Perpendicular D. Congruent
Ashwani K.
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