CHOOSE THE CORRECT ANSWER.

D. 23 and 26 6. Which of the following statements is always true? A. All intersecting lines are parallel. B. Parallel lines are equidistant. C. Lines that intersect and form a right angle are parallel lines. D. Skew lines are parallel lines. 7. In the figure below, a II b and t is a transversal. Which angles are congruent to 24? A. 21, 26, and 28 B. 22, 25, and 27 6 C. 23, 25, and 27 D. 22, 26, and 28 8. If l ll Iz , which of the following statements is/are true? za = Le II. of and ch are supplementary III. zb and zg are supplementary IV. 2d = 2f A. I only B. II and Ill only C. I, Ill, and IV only D. I, II, and Ill only9. Which of the following reasons should be used to prove statement number 3? Given: a ll b Prove: 23 = 25 STATEMENT REASON 1 1. all b 1. Given 3 2. 23 = 21 2. Vertical Angle Theorem 5 3. 21 = 25 3. b 4. 23 = 25 4. Transitive Property of Congruence A. Corresponding Angles Postulate B. Alternate Interior Angles Theorem C. Alternate Exterior Angles Theorem D. Same-side Interior Angles Theorem 10. Which of the following reasons should be used to prove statement number 5? Given: 4, 1 12 Prove: med + mze = 180 STATEMENT REASON 1. 4 1 12 1. Given 2. 2d = ch 2. Corresponding Angles Postulate 3. mzh + mze = 180 3. Linear Pair Postulate 4. mad = mch 4. Definition of Congruent Angles 5. mzd + mze = 180 5.A. Transitive Property of Congruence B. Associative Property of Equality C. Identity Property of Equality D. Substitution Property of Equality ERICA RIO G. SIOSON MATH 8 QUARTER 4 WEEK 4 Page 8 | 11 Additional Activities A. FINDING MEASURES OF NUMBERED ANGLES 5 The photo on the left shows the portion of LRT along Edsa-Munoz. Use 1119 the figure to find the measures of numbered angles. B. This photo shows an aerial view of an intersection in a certain city. It also shows two parallel lines r and s cut by a transversal t. Prove that 27 = 28.STATEMENT REASON 1. r Is 1. Given 2. 47 = 26 2. 3. 26 = 28 3. 4. 47 = 28 4. Transitive Property of Congruence Reflection : In 3 to 5 sentences, write the things you've learned while going through this module. Discuss how will you able to apply it in Things I've your daily life. learned in this module.W W For EMOJINGLES ACTIVITYInTe situations. Pre-test Directions: Read and analyse each item/question carefully. Choose the letter of the correct answer. Write your answer on the blank before each number 1. Which of the following statement is true about parallel lines cut by a transversal? A. Corresponding angles are supplementary. B. Alternate exterior angles are congruent. C. Same-side interior angles are complementary. D. Alternate interior angles are supplementary. 2. In the figure shown, what is the relationship between 24 and 25? A. 24 and 25 are corresponding angles and they are =. 4 B. 24 and 25 are alternate interior angles and they are =. 5 6 C. 24 and 25 are alternate exterior angles and they are =. D. 24 and 25 are same-side interior angles and they are supplementary. 3. Parallel lines m and n are cut by transversal t. If m24 = 135, what is the measure of 25? t A. 135 B. 145 C. 2250 D. 450 8. 6 n 4. Which of the following reasons should be used to prove statement number 3? Given: a ll b Prove: 23 = 25STATEMENT REASON 1 1. allb 1. Given CL 3 2. 23 = 21 2. Vertical Angle Theorem 3. 21 = 25 3. 5 b 4. 43 = 25 4. Transitive Property of Congruence A. Corresponding Angles Postulate B. Alternate Interior Angles Theorem C. Alternate Exterior Angles Theorem D. Same-side Interior Angles Theorem 5. Which of the following reasons should be used to prove statement number 5? Given: l, ll 12 Prove: mzd + mze = 180 STATEMENT REASON 1. 4 1 1 2 1. Given 2. 2d = Zh 2. Corresponding Angles Postulate h 3. mch + mze = 180 3. Linear Pair Postulate 4. med = mzh 4. Definition of Congruent Angles 5. mzd + mze = 180 5. A. Transitive Property of Congruence B. Associative Property of Equality C. Identity Property of Equality D. Substitution Property of EqualityActivities CRAYOLANGIES DIRECTIONS: Identify the locations of the crayons scattered on top of a table. Shade the shapes before the names of pairs of angles that correspond to the color of the crayons. VIOLET ORANGE GREEN VIOLET Corresponding Angles Alternate Exterior Angles Same-side Exterior Angles Alternate Interior Angles C Same-side Interior AnglesDIRECTIONS: Cut out the emoticons found at the last page of this module and paste it on the circle that corresponds to the answers in the sentences that EMOJINGLES follow. 40 140 120 60 A happy emoticon and a 140 angle are corresponding angles. They are congruent. A wink emoticon and a 60 angle are alternate exterior angles. They are congruent. A wow emoticon and a 140 angle are alternate interior angles. They are congruent. A blessed emoticon and a 40 angle are same-side exterior angles. They are supplementary. A blissful emoticon and a 120 angle are same-side interior angles. They are supplementary.MODULE The photo below shows the dispersion of each mobile legend heroes on the first part of the game. LEGENDS Help Layla in proving that the given heroes are in Congruent angular location along the map, given that ANGLES lines a and b are parallel cut by transversal t. PROVE STATEMENT REASON 1. all b 1. 2. 2. 3. 3. 4. 4.Remember Your conjectures in this module can be summarized below. ... corresponding angles are congruent. ... alternate interior angles are congruent. If two parallel lines are cut by a transversal, then ... alternate exterior angles are congruent. same-side interior angles are supplementary. same-side exterior angles are supplementary. Check your Understanding Find the measures of unknown angles and explain your reasoning. 1. 2. 3. b + 12" 570Post-test Directions: Read and analyse each item/question carefully. Choose the letter of the correct answer. Write your answer on the blank before each number. 1. Which of the following statement is true about parallel lines cut by a transversal? A. Corresponding angles are supplementary. B. Alternate exterior angles are congruent. C. Same-side interior angles are complementary. D. Alternate interior angles are supplementary. 2. In the figure below, line a and line b are parallel cut by a transversal t. Which of the following are corresponding angles? 2 A. 21 and 23, 22 and 24 B. 24 and 26, 23 and 25 C. 24 and 28, 23 and 27 D. 21 and 27, 22 and 28 3. Parallel lines m and n are cut by transversal t. If m24 = 135, what is the measure of 25? 5 6 A. 135 B. 145 C. 2250 D. 4504. In the figure shown, what is the relationship between 24 and 25? A. 24 and 25 are corresponding angles and they are =. 4 3 B. 24 and 25 are alternate interior angles and they are =. 5 C. 24 and 25 are alternate exterior angles and they are =. 6 D. 24 and 25 are same-side interior angles and they are supplementary. B 7 5. In the given figure, which pair of angles are same-side exterior angles? A. 24 and 26 B. 21 and 27 C. 22 and 27 ERICA RIO G. SIOSON MATH 8 QUARTER 4 WEEK 4 Page 7 | 11