What conclusion can be made for c and e? A A 30.90 C 340 e D Ooze Oose Ooze OcceB 3 2 D Clara writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram: Clara's proof 1. For triangles AOB and COD, angle 1 is equal to angle 2, as they are vertical angles. 2. AO = OC and BO = OD because it is given that diagonals bisect each other. 3. The triangles AOB and COD are congruent by SAS postulate. 4. Similarly, triangles AOD and COB are congruent. 5. By angle ABD is equal to angle CDB and angle ADB is equal to angle CBD. 6. As the alternate interior angles are congruent, the opposite sides of quadrilateral ABCD are parallel. 7. Therefore, ABCD is a parallelogram. Which is the missing phrase in Clara's proof? O CPCTC O property of parallelograms O transitive property O vertical angles theorem\fSunita performed a transformation on trapezoid LMNQ to create L'M'N'Q', as shown in the figure below: Q' Ide co looo N'V M. X -109 8 7-6-5-4321+12345 67 8910 M N Q What transformation did Sunita perform to create L'M'N'Q'? O Rotation of 90 counterclockwise about the origin O Rotation of 270 counterclockwise about the origin O Reflection across the x-axis O Reflection across the line of symmetry of the figureCharlotte is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180*. Line m is parallel to line n. P Line n 35 70 750 Line m Q R ( not drawn to scale) Which is a true statement she could write? O Angle PRQ measures 35. O Angle PRQ measures 75. O Angle PQR measures 70. O Angle PRQ measures 70.Figure EFGH on the grid below represents a trapezoidal plate at its starting position on a rotating machine platform: E G X H -109-8-7-6-5-4-3-241 12345678910 The plate is rotated 720" about the origin in the counterclockwise direction. Which of the following is formed when the arcs of rotation are drawn for each point as it is rotated? They form parallel segments. O They form perpendicular segments. They form concentric circles. They form congruent segments.Jeremiah is working on a model bridge. He needs to create triangular components, and he plans to use toothpicks. He finds three toothpicks of lengths 5 in., 5 in., and 2 in. Will he be able to create the triangular component with these toothpicks without modifying any of the lengths? O Yes, according to the Triangle Sum Theorem O Yes, according to the Triangle Inequality Theorem O No, according to the Triangle Sum Theorem O No, according to the Triangle Inequality TheoremAngle I = 20 degrees, side HI = 5, angle L = 20 degrees, and side KL = 5. What additional information would you need to prove that AHIJ = AKLM by SAS? O Angle H is congruent to angle K. O Angle J is congruent to angle M. O Side IJ is congruent to side LM. O Side HJ is congruent to side KM.Triangle PAT has been reflected over the x-axis. Which of the following best describes the relationship between the x-axis and the line connecting P to P*? They share the same midpoints. O They are diameters of concentric circles. O They are perpendicular to each other. O They are parallel and congruent.If AABC - ADEF, then what corresponding parts are congruent? O AB and DE O zB and F O CA and DF O LE and ZAPeter reflected trapezoid ABCD across the y-axis. If angle A is 115 and angle B is 65", what is the degree measurement of angle A'? O 65" O 50 O 115" O 180"Which of the following would be a line of reflection that would map ABCD o 4 Ci 3 D A -2 -1 2 Ox = 1 O-x+y=2 Ox-y =2 O 2x + y =3