Need help. With solutions please if needed. Thank you

Theorem 2: The base angles of an isosceles trapezoid are congruent. ACTIVITY 10 Given: Isosceles Trapezoid AMOR MONAR Prove LA. LR, LAMO & CO A Proof Statements Reasons 1. Given RAMS OR MOJAR 3. From M. draw ME'll OR where E Lies on AR. Definition of a parallelogram OR & ME "Transitive Property (SN 2 and bol NAME is an bosceles triangle. 10. Aleck 10 1. CR . CA 13. LA and LAMO are supplementary angles. LO and ER are supplementary angles, 14. GAMO G LO 11. Theorem 2 is proven true You may proceed to activity 12 to prove Theorem 3 and Theorem 4Proof Statements Reasons 1. Given 2. OR . MIA 2. 3. LROM . LAMO 3. 4. OM & MO 3. SAS Congruence Postulate 6. RM & AO 6. Now, you will prove another set of theorems, this time concerning kites. Have you ever experienced making a kite? Have you tried joining a kite festival in your community? A kite is defined as a quadrilateral with two distinct pairs of adjacent, congruent sides. Try activity 12 to discover more about kite. ACTIVITY 12 Directions: Do the procedure below and answer the questions that follow. Materials Needed: bond paper, pencil, ruler, protractor, compass, and straight-edge Procedure: 1. Draw a kite CUTE where UC = UT and CETE like what is shown below. Consider diagonals CT and UE that meet at X. 2. Use a protractor to measure each of the angles with vertex at X. Record your findings in the table below. 3. Use a ruler to measure the indicated segments and record your findings in the table below. What to CXU L UXT EXT _ QXE OX XT measure Measurement Questions: What do you observe about the measures of the angles above? How are the diagonals related to each other? Make a conjecture about the diagonals of a kite based on the angles formed. Explain your answer. Compare the lengths of the segments given above. What do you see? What does UE do to CT at X? Why? Make a conjecture about the diagonals of a kite based on the pair of congruent segments formed. Explain you answer.ACTIVITY 11 Given: Isosceles Trapezoid ARTS 2 Prove: LARS and 4.S are supplementary. LA and LT are supplementary. A Proof 1. Given 2. ARTS; RT = AS From R. draw RE | | IS where E lies on AS. 4. Definition of a parallelogram 5. 75 % RE 5, 6. Transitive Property 7. AARE is an isosceles triangle. 9. maltme3+ mcA 10. 23842 10. 11. LANCS 12. malm 42 + mas 13, 61 4 62 = CART 13. 14. In CART + MES 13. m 25 + m CT 16. m CATm LT 17. CART and As are supplementary: LA and LT are supplementary Theorem 4: The diagonals of an isosceles trapezold are congruent. Given: Isosceles Trapezoid ROMAget it is Prove: RM * AO