Question

Центральная симметрия. Осевая симметрия. Урок 4 Прямые MP и KN являются осями симметрии прямоугольника ABCD. KN = 8 см, MP = 6 см.  Найди периметр прямоугольников ABCD и OPDN. a) PABCD =см. b) POPDN =см. БИЛИМЛЕНД​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Central Symmetry and Axial Symmetry in a Rectangle

Central symmetry and axial symmetry are two types of symmetry that can be observed in geometric shapes. In the given problem, we are dealing with a rectangle ABCD, where the lines MP and KN are the axes of symmetry.

Central Symmetry: Central symmetry refers to a type of symmetry where a shape remains unchanged when rotated by 180 degrees around a fixed point called the center of symmetry. In a rectangle, the center of symmetry is the point of intersection of its diagonals.

Axial Symmetry: Axial symmetry, also known as mirror symmetry or reflection symmetry, is a type of symmetry where a shape remains unchanged when reflected across a line called the axis of symmetry. In a rectangle, the axes of symmetry are the lines passing through the midpoints of opposite sides.

Finding the Perimeter of Rectangles ABCD and OPDN

To find the perimeter of a rectangle, we need to add the lengths of all its sides.

Given information: - KN = 8 cm - MP = 6 cm

Let's calculate the perimeter of rectangle ABCD and rectangle OPDN separately.

Perimeter of Rectangle ABCD (PABCD): In a rectangle, opposite sides are equal in length. Therefore, the length of side AB is equal to the length of side CD, and the length of side BC is equal to the length of side AD.

Using the given information, we can determine the lengths of sides AB, BC, CD, and AD.

- AB = CD = KN = 8 cm - BC = AD = MP = 6 cm

To find the perimeter of rectangle ABCD, we add the lengths of all its sides:

PABCD = AB + BC + CD + AD = 8 cm + 6 cm + 8 cm + 6 cm = 28 cm

Therefore, the perimeter of rectangle ABCD (PABCD) is 28 cm.

Perimeter of Rectangle OPDN (POPDN): In a rectangle, opposite sides are equal in length. Therefore, the length of side OP is equal to the length of side DN, and the length of side PD is equal to the length of side ON.

Using the given information, we can determine the lengths of sides OP, PD, DN, and ON.

- OP = DN = KN = 8 cm - PD = ON = MP = 6 cm

To find the perimeter of rectangle OPDN, we add the lengths of all its sides:

POPDN = OP + PD + DN + ON = 8 cm + 6 cm + 8 cm + 6 cm = 28 cm

Therefore, the perimeter of rectangle OPDN (POPDN) is 28 cm.

In summary: - The perimeter of rectangle ABCD (PABCD) is 28 cm. - The perimeter of rectangle OPDN (POPDN) is 28 cm.

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