Given Perpendicular lines form right angles, all of which are congruent. Tangents from same external point are . Radii in the same circle are . An 18-inch by 21-inch rectangle will be removed for the installation of the sink. (A) A quadrilateral is a parallelogram if it is a rhombus. 1) 32º 2) 52º 3) 58º 4) 64º 18 If the rectangle below is continuously rotated about side w, which solid figure is formed? 2. PA and PB are tangents. 1. O' 0k If AB = 36 and AC = 12, what is the length of AD? The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E - 20465542 Use this space for computations. 2. Question 25 Score 2: The student gave a complete and correct response. What is the value of x? What is the area of the top of the installed countertop, to the nearest square foot? Show that (i) It bisects ∠C also, (ii) ABCD is a rhombus. 3. 1. E -10 What is the value of x? OA OB (S) 4. If m∠DAB =32°, what is m∠BDC? 1. 1. COMMON CORE MATHEMATICS CURRICULUM UNIT 6 - QUADRILATERALS REVIEW Review Geometry CC Period: Name. 3. below. PA PB (S) 2. (2X+ 10)' (2x+ 10) and rnZB — F nd the 6. Given. HIJK is a parallelogram because the midpoint of both diagonals is _____ 2)7,) means the diagonals bisect each other. 24. (1) 32 (3) 3 (2)6 23 In the diagram of circle O below, chord AB intersects chord CD at £, DE = 2x + 8, EC = 3, AE = 4x-3, and EB = 4. 25. Given. Find the area of a rhombus with side length 6 and an interior angle with measure 120 degrees. 2-XÇ¥-t0 In the diagram below, and are tangent s to circle O, and are radii, and intersects the circle at C. Prove: Statements Reasons 1. 22 In the diagram below of right triangle ACB, altitude CD is drawn to hypotenuse AB. 4. In the parallelogram below, AB is parallel to CD and x-y=40 what is y? SAS Theorem CPCTC A parallelogram with a pair of adjacent, congruent sides must be a rhombus (see #4). 2. rnZA In the accompanying diagram of parallelogram ABCD, number of degrees in m.LB Explain your reasoning. Which of the following statements are true? OA and OB are radii. The diagonals of a parallelogram bisect each other. In the diagram below of parallelogram ABCD, #13: In the diagram below, ATVPQ is a parallelogram whose diagonals are perpendicular. 17 In the diagram below of ACD, DB is a median to AC, and AB ≅DB. In the accompanytng diagram of parallelogram ABCD, diagonals AC and intersect BD at E, and ED 10. We know that in a parallelogram, adjacent angles are supplementary. OP OP (S) 5. 5. "Question 6 Diagonal AC of a parallelogram ABCD bisects ∠A (see the given figure). (B) A quadrilateral is a rhombus if it is a parallelogram. Answer: A = 150° Step-by-step explanation: In the parallelogram ABCD, A and D are adjacent angles. 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