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Which of the following steps were applied to abcd to obtain abcd?

Final Answer: The step applied to transform abcd into a'b'c'd' is shifted 2 units right and 3 units down.
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What transformations were applied to ABC to obtain ABC?

Expert-Verified Answer
  • Answer: The correct option is.
  • (D) rotation of 270 degrees counterclockwise and shifting 3 units up.
  • Step-by-step explanation: We are given to select the correct transformations that were applied to triangle ABC to obtain triangle A'B'C'.
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Which of these terms does not describe polygon abcd?

Expert-Verified Answer

The term that does not describe polygon A'B'C'D' is: Pre-image. Step-by-step explanation: Clearly we could observe that the polygon A'B'C'D' is the image that is obtained by the applying some transformation to the polygon ABCD.
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Which of the following is a regular polygon abcd?

Thus, a square and an equilateral triangle are regular poygons, whereas a rectangle and a paralleogram are not.
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Is ABCDE a polygon?

ABCDE... is part of a regular polygon which has interior angles of 160∘.
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How to find the Area and Perimeter of a Rectangle

What is the correct order of steps for copying angle ABC?

5 Copy an Angle
  1. Draw the angle to be copied and label it A-B-C. ...
  2. Set your compass to a radius of reasonable distance. ...
  3. Pick up the distance of this arc from the original angle and transfer it to the copied angle.
  4. Draw in the line from point A to the intersection point to form the angle.
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What set of transformations could be applied to rectangle ABCD to create ABC D?

Expert-Verified Answer

The set of transformations that could be applied to rectangle ABCD to create rectangle A'B'C'D' is the second option; Reflected over the y-axis and rotated 180°
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What set of transformations are applied to parallelogram abcd to create abc d?

Expert-Verified Answer

, we must apply the following transformations: 1) Reflection over the x-axis. 2) Reflection over the y-axis. In a nutshell, we must reflect over the x-axis and then reflect over the y-axis to map parallelogram ABCD onto parallelogram A'B'C'D'.
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What must ABCD be for ABCD to be a parallelogram?

If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. If — BC — AD and — BC ≅ — AD , then ABCD is a parallelogram.
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How to prove that ABCD is a parallelogram coordinate geometry?

To prove that it is a parallelogram, we need to calculate the length of the sides, we use the distance formula for it. And then check if opposite sides are equal. We also know that if the opposite sides have equal side lengths, then ABCD is a parallelogram.
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What makes ABCD a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal. The given figure shows a parallelogram ABCD, which has AB II CD and AD II BC. Also, AD = BC and AB = CD.
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Which measurement will ensure that ABCD ABCD is a rectangle?

Explanation: Quadrilateral ABCD has four ninety-degree angles, which means that it has four right angles because every right angle measures ninety degrees. If a quadrilateral has four right angles, then it must be a rectangle by the definition of a rectangle.
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Why is ABCD a rectangle?

Since each pair of opposite sides of the quadrilateral have the same measure, they are congruent. Quadrilateral ABCD is a parallelogram. The length of each diagonal is 130. Since the diagonals are congruent, ABCD is a rectangle by Theorem 6.14.
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Is ABCD a rectangle theorem?

The diagonals of a rectangle are equal. Let ABCD be a rectangle. We prove that AC = BD. Hence AC = DB (matching sides of congruent triangles).
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What is the angle in ABC?

Angle ABC is a straight angle, or 180°.
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How do you label an angle ABC?

When naming an angle by three points, the middle point must be the vertex of the angle. Angle ABC A B C , which you may write as ∠ABC ∠ A B C , has the point A on one side of the angle, the point B as the vertex, and the point C on the other side of the angle.
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How do you prove ABCD is a rectangle?

To show that ABCD is a rectangle, we have to prove that one of its interior angles is 90°. Hence, ∠B = ∠D = ∠C = ∠A = 90° [Since opposite angles of a parallelogram are equal]. Since ABCD is a parallelogram and one of its interior angles is 90°, ABCD is a rectangle.
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Who put ABCD in maths?

At the end of the 16th century, François Viète introduced the idea of representing known and unknown numbers by letters, nowadays called variables, and the idea of computing with them as if they were numbers—in order to obtain the result by a simple replacement.
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What shape is ABCD?

A, B, C, and D are the four vertices of the quadrilateral ABCD.
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What are the 7 properties of rectangle?

Rectangle Properties
  • A rectangle is a quadrilateral.
  • The opposite sides are parallel and equal to each other.
  • Each interior angle is equal to 90 degrees.
  • The sum of all the interior angles is equal to 360 degrees.
  • The diagonals bisect each other.
  • Both the diagonals have the same length.
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Which statement is needed to prove that ABCD is a square?

In order for ABCD to be a square, we need to prove 2 things. We must prove that the length of all 4 sides are equal, and we must prove that all 4 enclosed angles are equal, and equal to 90°. AB=BC=CD=DA=90° must ALSO BE TRUE.
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How do you prove a rectangle?

There are a few ways to prove a quadrilateral is a rectangle. Here are three of the easiest ways: 1) Show all angles are 90°; 2) Show that one pair of sides is parallel and that two opposite angles are 90°; 3) Show the diagonals bisect each other and are of equal length.
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Can ABCD be a parallelogram?

If the following conditions are fulfilled, then ABCD is a parallelogram. The sum of the measures of the adjacent angles should be 180° and opposite angles should also be of the same measure. Hence, using the given condition ∠D + ∠B = 180° we can say that yes, it may or may not be a parallelogram.
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