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Integrated 2 EOC Review Target 6 I can write and identify the inverse, and contrapositive of a conditional statement, and determine whether they are true. conditional statement hypothesis conclusion hypothesis conclusion converse inverse NOT hypothesis NOT conclusion contrapositive NOT hypothesis NOT conclusion www.jmap.org http://www.edhelper.com/math/geometry_quadrilaterals2.htm Page 1 of 4 Integrated 2 EOC Review Target 6 What of the following statements is the converse of "If the moon is full, then the vampires are prowling."? What of the following statements is the inverse of "If you do not understand geometry, then you do not know how to reason deductively."? What of the following statements is logically equivalent to "If you live in a mansion, then you have a big heating bill."? What of the following statements is the converse of "You cannot skateboard if you do not have a sense of balance."? What of the following statements is the contrapositive of "If you understand logic, you will be a good consumer."? What of the following statements is the inverse of "If it rains, then I do not go fishing."? What of the following statements is the inverse of "Our pond floods whenever there is a thunderstorm."? What of the following statements is logically equivalent to "The solution is easy if you read the question carefully."? What of the following statements is the contrapositive of "If a polygon has four sides, then it is called a quadrilateral."? The inverse of the converse of a conditional statement is the _____. www.jmap.org http://www.edhelper.com/math/geometry_quadrilaterals2.htm Page 2 of 4 Integrated 2 EOC Review Target 6 I can use properties of quadrilaterals in proofs. Use graphic organizer for Target 5. Pick from the choices below: 1. Given: Diagonals NR and BO , which bisect each other at X. Prove: BNX ORX Statement Reason 1 Given Diagonals NR and BO , which bisect each other at X. 2 3 4 BNX ORX [A] [B] [C] [D] [E] [F] [G] [H] SAS ASA BXN OXR BON OBR NX = XR and BX = XB Prove A bisector cuts a segment into two congruent segments. Vertical angles are congruen www.jmap.org http://www.edhelper.com/math/geometry_quadrilaterals2.htm Page 3 of 4 Integrated 2 EOC Review Target 6 Fill in the blanks. 2. Given: WXYZ is a rectangle; M is the midpoint of WX Prove: ZMY is isosceles Statement Reason 1 WXYZ is a rectangle 2 WZ WM and _______________ Adjacent sides of rectangles are perpendicular, because it has 4 right angles. 3 mW = mX = 90˚ Perpendicular lines form right angles. 4 WZ = XY and WX = ZY 5 Given 6 A midpoint divides a segment into __________________________________________ . 7 ZWM YXM 8 ZM = YM 9 An isosceles triangle has two congruent sides. www.jmap.org http://www.edhelper.com/math/geometry_quadrilaterals2.htm Page 4 of 4