Special Parallelograms Answers
Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus. Statements Reasons1.ABCD is a parallelogram1.given2.∠AMB, ∠BMC, ∠CMD, and ∠DMA are right angles2.given3.∠AMB ≅ ∠BMC ≅ ∠CMD ≅ ∠DMA3.right angles are congruent4.AC bisects BD; BD bisects AC;4.diagonals of a parallelogram bisect each other5.AM ≅ MC, MB ≅ MD5.definition of a bisector6.?6.SAS congruency theorem7.AB ≅ BC ≅ CD ≅ DA7.CPCTC8.figure ABCD is a rhombus8.definition of a rhombus
A square with diagonals is shown. The distance from one point to the middle point is x. The length from the center point to another point is x. The length of a side is 8.
Which statements are true of all squares? Select three options.The diagonals are perpendicular.The diagonals are congruent to each other.The diagonals bisect the vertex angles.The diagonals are congruent to the sides of the square.The diagonals are twice the length of one side of the square.
Which measures are true for the quilt piece? Select three options.
A rectangle is shown. All angles are right angles. The length of one side is 2 x and the length of another side is 3 x + 3.
Rectangle PQRS is shown with its diagonals, PR and QS.
The figure is a parallelogram. One diagonal measures 28 units.
Rectangle T R E C is shown. Diagonals are drawn from point R to point C and from point E to point T and intersect in the middle. The distance from point R to the middle is 2 x minus 3 and the distance from the middle point to point C is x + 7.
Figure ABCD is a parallelogram.
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