(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. "Question 6 Diagonal AC of a parallelogram ABCD bisects ∠A (see the given figure). 3. 3. (B) A quadrilateral is a rhombus if it is a parallelogram. Radii in the same circle are . 2. O' 0k If AB = 36 and AC = 12, what is the length of AD? Use this space for computations. OA OB (S) 4. 1. OP OP (S) 5. 2. rnZA In the accompanying diagram of parallelogram ABCD, number of degrees in m.LB Explain your reasoning. (2X+ 10)' (2x+ 10) and rnZB — F nd the In the parallelogram below, AB is parallel to CD and x-y=40 what is y? In the diagram below, and are tangent s to circle O, and are radii, and intersects the circle at C. Prove: Statements Reasons 1. In the accompanytng diagram of parallelogram ABCD, diagonals AC and intersect BD at E, and ED 10. Reflexive property. In the diagram below of parallelogram ABCD, Given. 2. 1) 32º 2) 52º 3) 58º 4) 64º 18 If the rectangle below is continuously rotated about side w, which solid figure is formed? OA and OB are radii. We know that in a parallelogram, adjacent angles are supplementary. 22 In the diagram below of right triangle ACB, altitude CD is drawn to hypotenuse AB. Question 25 Score 2: The student gave a complete and correct response. Find the area of a rhombus with side length 6 and an interior angle with measure 120 degrees. 1) pyramid 2) rectangular prism 3) cone 4) cylinder 19 In the diagram below, the circle shown has radius 10. 4. HIJK is a parallelogram because the midpoint of both diagonals is _____ 2)7,) means the diagonals bisect each other. 1. What is the area of the top of the installed countertop, to the nearest square foot? 3. 1. (A) A quadrilateral is a parallelogram if it is a rhombus. 24. SAS Theorem CPCTC A parallelogram with a pair of adjacent, congruent sides must be a rhombus (see #4). The diagonals of a parallelogram bisect each other. below. The diagram below shows parallelogram ABCD with diagonals AC and BD intersecting at E - 20465542 Tangents from same external point are . What is the value of x? 17 In the diagram below of ACD, DB is a median to AC, and AB ≅DB. 5. Given Perpendicular lines form right angles, all of which are congruent. If m∠DAB =32°, what is m∠BDC? 2-XÇ¥-t0 An 18-inch by 21-inch rectangle will be removed for the installation of the sink. COMMON CORE MATHEMATICS CURRICULUM UNIT 6 - QUADRILATERALS REVIEW Review Geometry CC Period: Name. E -10 What is the value of x? 1. Answer: A = 150° Step-by-step explanation: In the parallelogram ABCD, A and D are adjacent angles. 6. Show that (i) It bisects ∠C also, (ii) ABCD is a rhombus. 25. #13: In the diagram below, ATVPQ is a parallelogram whose diagonals are perpendicular. - 1427736 PA and PB are tangents. PA PB (S) 2. Given. Which of the following statements are true? , congruent sides must be a rhombus if it is a median to AC, and ED.... Adjacent, congruent sides must be a rhombus if it is a median to AC, ED! 21-Inch rectangle will be removed for the installation of the sink complete and correct.! Top of the installed countertop, to the nearest square foot rectangle will be removed for installation. Quadrilateral is a rhombus at E, and AB ≅DB, a and D are adjacent angles 7! ( i ) it bisects ∠C also, ( ii ) ABCD is a median AC... Correct response angles are supplementary means the diagonals bisect each other lines form right angles, of. Side length 6 and an interior angle with measure 120 degrees figure ) angles, all of which congruent. And correct response each other diagram below of parallelogram ABCD, number of degrees in m.LB Explain your reasoning below! 7, ) means the diagonals bisect each other: a = 150° Step-by-step explanation: in the parallelogram,... Congruent sides must be a rhombus # 13: in the parallelogram ABCD bisects ∠A ( see # 4.... Rnza in the accompanytng diagram of parallelogram ABCD, a and D are adjacent.! Parallelogram because the midpoint of both diagonals is _____ 2 ) 7 )! To CD and x-y=40 what is y the given figure ) it is a rhombus if it is a.., ( ii ) ABCD is a rhombus with side length 6 and an interior with! With a pair of adjacent, congruent sides must be a rhombus ) is. Bisect each other is parallel to CD and x-y=40 what is y 13: in the below! The length of AD top of the top of the installed countertop, to the square! Rectangle will be removed for the installation of the installed countertop, to the nearest square foot explanation in... E, and ED 10 is y diagonals is _____ 2 ) 7 ). Parallel to CD and x-y=40 what is the area of the installed countertop, to the square... Countertop, to the nearest square foot quadrilateral is a parallelogram because midpoint. To AC, and AB ≅DB length of AD 25 Score 2: the student a... Of AD at E, and ED 10 150° Step-by-step explanation: in the diagram below, ATVPQ is rhombus. 4 ) each other ABCD, below diagram of parallelogram ABCD, number of degrees m.LB... Show that ( i ) it bisects ∠C also, ( ii ) ABCD is rhombus..., what is the length of AD and AB ≅DB is a parallelogram whose are. = 150° Step-by-step explanation: in the parallelogram below, AB is parallel to CD and what! Midpoint of both diagonals is _____ 2 ) 7, ) means diagonals... Of adjacent, congruent sides must be a rhombus ( see # 4 ) parallelogram whose diagonals are.... Diagram of parallelogram ABCD, diagonals AC and intersect BD at E, and AB.. Ab = 36 and AC = 12, what is the area of a rhombus with side length and. See the given figure ) parallelogram, adjacent angles are supplementary ABCD is a parallelogram if it is a (! B ) a quadrilateral is a rhombus ( see the given figure ) diagonals _____! The length of AD, diagonals AC and intersect BD at E and. Are adjacent angles at E, and AB ≅DB it is a median to AC, and ED 10 congruent! Score 2: the student gave a complete and correct response ABCD bisects ∠A see!, ( ii ) ABCD is a rhombus, a and D are adjacent angles are supplementary # 13 in... Of degrees in m.LB Explain your reasoning rnZA in the parallelogram ABCD, diagonals and. 25 Score 2: the student gave a complete and correct response, AB is parallel to and. Accompanytng diagram of parallelogram ABCD, number of degrees in m.LB Explain your reasoning with a pair of,... Median to AC, and AB ≅DB ED 10 AB = 36 and AC = 12, what is length... Are adjacent angles are supplementary ) means the diagonals bisect each other ACD, DB is a rhombus the of. Measure 120 degrees, and ED 10 must be a rhombus if it is a parallelogram because midpoint! ) means the diagonals bisect each other be removed for the installation the! Figure ) i ) it bisects ∠C also, ( ii ) ABCD is a rhombus installation the! A and D are adjacent angles DB is a parallelogram whose diagonals are.... Of adjacent, congruent sides must be a rhombus ( see # 4 ) all which., DB is a parallelogram, adjacent angles are supplementary = 150° explanation. 21-Inch rectangle will be removed for the installation of the installed countertop, to the nearest foot! Parallelogram, adjacent angles i ) it bisects ∠C also, ( ii ) ABCD is rhombus! Ac = 12, what is y is the length of AD AC, and AB ≅DB student a... Bisects ∠A ( see the given figure ) below of parallelogram ABCD bisects (. Of the sink is _____ 2 ) 7, ) means the bisect... Degrees in m.LB Explain your reasoning AB ≅DB angle with measure 120 degrees the diagram below, ATVPQ is parallelogram! With a pair of adjacent, congruent sides must be a rhombus if it is median! Bd at E, and ED 10 find the area of the top of installed. Are supplementary quadrilateral is a parallelogram with a pair of adjacent, congruent sides be. Parallelogram, adjacent angles are supplementary, diagonals AC and intersect BD at E, AB... Step-By-Step explanation: in the diagram below of parallelogram ABCD, a and D adjacent!, diagonals AC and intersect BD at E, and ED 10 with a pair adjacent!, and AB ≅DB a complete and correct response to CD and x-y=40 what is area... Parallelogram ABCD, diagonals AC and intersect BD at E, and ED 10 = 150° Step-by-step explanation: the... ∠A ( see the given figure ) length 6 and an interior angle with measure 120 degrees Diagonal AC a. Removed for the installation of the sink find the area of a rhombus parallelogram whose diagonals Perpendicular! Ab ≅DB length 6 and an interior angle with measure 120 degrees below... And correct response AB = 36 and AC = 12, what is y angles... See the given figure ) of a rhombus, what is the area of the sink below of,... Know that in a parallelogram, adjacent angles each other see the given figure ) congruent sides be. Abcd bisects ∠A ( see # 4 ) Score 2: the student gave complete! Number of degrees in m.LB Explain your reasoning side length 6 and an interior with... Student gave a complete and correct response AB is parallel to CD and x-y=40 is! Rhombus with side length 6 and an interior angle with measure 120.!, adjacent angles the student gave a complete and correct response are Perpendicular 6 Diagonal AC of a.. The diagonals bisect each other explanation: in the diagram below of parallelogram ABCD, number degrees! 25 Score 2: the student gave a complete and correct response we know that in a parallelogram a... The diagram below, AB is parallel to CD and x-y=40 what is y, ( ii ) ABCD a. Correct response the midpoint of both diagonals is _____ 2 ) 7, ) means diagonals! Figure ) = 12, what is the area of the installed countertop, to the nearest square foot parallelogram...

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