V. Activity Proper A. Directions: Put a check mark (V) on the space provided before each number if the given could be lengths of the sides of a triangle. If the lengths can't form a triangle, put an X mark. _1. 2, 3, 4 2. 4, 6, 7 _3. 1 , 1 , 2 4 . 7 , 13 , 7 5. x, y , x + y B. Directions: Use >, or = to relate each pair of measures. 1. MZMOE MZROE 2. GE AC R 43 40 580 E C D. Directions: Find the possible value or range of values of x, and identify which theorem is applied. 1. 2. 3 . 200 50c 60 xo X E. PROBLEM-SOLVING Directions: Solve the following problems by applying the theorems on triangle inequalities. 1.A rope is made with 11 knots at 10 equal intervals as shown below. Example: 3 equal intervals You are tasked to form a triangle using the entire rope, using the knots as vertices 4 equal intervals, and the equal intervals as units. The figure on the right is an example with the 1st and 11th knot overlapping. 3 equal inter vais 2. You found a leaf that 3. Which airplane is farther from Clark Airport'? fell from a tree and Why? measured the angles 1080 formed through Dagupan City 125 km triangular patterns. Determine the measure 125 km 350 86 Airplane 2 of X. Airplane 1 Clark Airport Prepared by: Mathematics 8 Teachers DCNHSJHS-004-ESP-015 SY 2021-2022V. Activity Proper A. Directions: Given the figure at the right, x ll y, and transversal w Name the following: W 1. two pair's of alternate interior angles 2. four pairs of corresponding angles 3. two pairs of same side interior angles 4. four pairs of vertical angles C 5. two pairs of alternate exterior angles 6. two pairs of same side exterior angles B. Directions: Given the figure at the right, complete the proof below: 1. Given p ll q, transversal m Prove: 41 = 47 m Proof: Statement Reasons 1 . 1. Given 12. 618 23 2. 3. 3. Alternate interior angles are congruent 4. 21 = 25 4. 5. 45 # 47 5. Vertical angles are congruent 6. C. Directions: In the figure at the right, m42 = 110. Find the measure of the following angle: 6 51 1. 23 8 7! 3 2. 24 14 3. L7 D. Directions: Find the value of the variables in the given figure. Explain your reasoning. (2x - 20) (y + 30) 1100