Page 1 :
Learning Activity Sheet No. 1, Quarter 3, Week 1, Name:_____________________________________ Grade and Section;______________________, School:_____________________________________ Date:_____________________, I. Learning Competency with codes, determines the conditions that make a quadrilateral a parallelogram (M9GE-IIIa-2), II. Background Information for Learners, Quadrilateral – has four – sides, it is 2 dimensional (a flat shape), closed (the lines join up) and has, straight sides., Parallelogram – a quadrilateral with two pairs of opposite sides that are parallel., Conditions that guarantee that a Quadrilateral is a Parallelogram., 1. A quadrilateral is a parallelogram if both pairs of opposite sides are congruent., Example:, AB ≅ CD , AD≅CB, Side AB is congruent to side CD., Side AD is congruent to side CD., 2. A quadrilateral is a parallelogram if both pairs of opposite angles are congruent., Example, ∠A ≅ ∠C , ∠𝐵 ≅ ∠D, Angle A is congruent to Angle C., Angle B is congruent to Angle D., 3. A quadrilateral is a parallelogram if pairs of consecutive angles are supplementary., Example:, 𝑚∠A + m∠B = 180°, the sum of measure of angle A and measure of angle B is 180°., 𝑚∠ 𝐷 + m∠C = 180° , 𝑚∠A + m∠D = 180°, 𝑚∠B + m∠C = 180°, 4. A quadrilateral is a parallelogram if the diagonals bisect each other’s., Example:, AC ≅ ∠𝐵D, Diagonal – a line segment joining two non-consecutive vertices of, polygon., Bisect – divide into two equal parts.

Page 2 :
5. A quadrilateral is a parallelogram if each diagonal divides a parallelogram into two congruent, triangles. Example:, ∆ACB ≅ ∆𝐷𝐶𝐴, Triangle ACB is congruent to Triangle DCA., ∆ADB ≅ ∆𝐶𝐵𝐷, Triangle ADB is congruent to Triangle CBD., 6. A quadrilateral is a parallelogram if one pair of opposite sides are congruent and parallel., Example:, , AB ∥ CD , AD ∥CB, Side AB is parallel to side CD., Side AD is parallel to side CB., III. Directions: this learning activity sheet contains series of activities that are specifically designed for, you to accomplish independently. Complete all the activities so that you will be able to determine the, conditions that make a quadrilateral a parallelogram. You may use other references such as books,, browse the internet, or you may contact your teacher if you have any queries., IV. Activity Proper, Activity 1: Define and Identify me! The search is over., Define the following kinds of Quadrilaterals and Identify whether the given quadrilaterals, are parallelogram or not parallelogram then answer the question that follow. You can use dictionary, or, you can browse on the internet., 1., 2., 3., 4., 5., , Trapezoid, Parallelogram, Kite, Rhombus, Rectangle, 6. Square, Parallelogram, , Not Parallelogram, , 1.___________, , 1.___________, , 2.___________, , 2.___________, , 3.___________, , 3.___________, , 4.____________, , 4.__________, , 1.Among the given quadrilaterals, which, are parallelogram and not parallelogram?, why?, ___________________________________, ___________________________________, ___________________________________, ___________________________________

Page 3 :
Activity 2: Guarantee Me!, Justify what condition satisfy in each given figure., 8, , 1., , M, , A, , 6, , 6, , H, , T, , 8, , A, , M, 60, , 2., ., K, , _________________________________, _________________________________, _________________________________, _________________________________, , 120, , 120, 60, S, O, , Y, , 3. R, , U, , ________________________________, ________________________________, ________________________________, ________________________________, __, _____________________________, _____________________________, _____________________________, _____________________________, , Activity 3. Complete Me!, Fill in the blanks with the correct answer., 1., 2., 3., 4., 5., 6., , A quadrilateral is a parallelogram if both pairs of __________ sides are________________., A quadrilateral is a parallelogram if both pairs of _____________angles are _____________., A quadrilateral is a parallelogram if both pairs of ______________ angles are ___________., A quadrilateral is a parallelogram if the _______________bisect each other ., A quadrilateral is a parallelogram if each _________divides a parallelogram into two_________., A quadrilateral is a parallelogram if one pair of opposite side are both ________and _________., , V. REFLECTION:, In, this, lesson,, I, learned, that, _________________________________________________________________________________, _________________________________________________________________________________, _________________________________________________________________________________, _________________________________________________________________________________

Page 4 :
T-I / Pantukan NHS, Pantukan North, , Roy Y. Matanlong, VIII. Prepared by:, VII. References:, K-to-12 Mathematics Learners Material pages 305-345, Mathematics Quarter 3 module: Parallelograms, https://byjus.com/maths/another-condition-for-a-quadrilateral-to-be-a-paralleogram/, https://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/prove-quadrilateralis-parallelogram.php, https://calcworkshop.com/quadrilaterals/prove-parallelogram/, https://www.mathisfun.com/quadrilaterals, , Activity 3., 1. Opposite, Congruent, 2. Opposite, Congruent., 3. Consecutive, Supplementary, 4. diagonals, 5. Diagonal, congruent triangles, 6. Congruent, parallel, Activity 1: Define and Identify me. The search is over, , Activity 2:, Guarantee, Me!, For numbers, 1 – 3 answers, may vary., , 1. Trapezoid – has a pair of opposite sides parallel., 2. Parallelogram – is a quadrilateral where each pair of opposite, sides are parallel., 3. Kite – it has two pairs of equal length sides and these sides, are adjacent to each other., 4. Rhombus – is a four-sided shape where all sides have equal, length., 5. Rectangle – is a four-sided shape where every angle is a right, angle., 6. Square – has equal sides and every angle is a right angle., Square, Parallelogram, Rectangle, Rhombus are parallelogram., Kite and Trapezoid are not parallelogram., VI. Answer key.