(1) مراجعة فصل التحويلات الهندسية

1. الإزاحة تحافظ على الأبعاد و قياسات الزوايا

صحيح

خاطئة

The statement is correct because displacement refers to the change in position of an object, and it does not affect the dimensions or measurements of angles. In other words, displacement only considers the change in location and does not alter the size or shape of an object or the angles within it.

Explanation

The statement is correct because displacement refers to the change in position of an object, and it does not affect the dimensions or measurements of angles. In other words, displacement only considers the change in location and does not alter the size or shape of an object or the angles within it.

2. .......... هو تحويل يُمثّل قلب الشكل في نقطة ، أو في خط مستقيم ، أو في مستوى

الإنعكاس

الإزاحة

الدوران

التمدد

الإنعكاس هو تحويل يقوم بعكس الشكل عندما يتم تمريره من خلال نقطة أو خط مستقيم أو مستوى. يتم تطبيق الإنعكاس عن طريق تغيير اتجاه الشكل بحيث يتم عكسه بالكامل. على سبيل المثال ، إذا كان الشكل متماثلًا حول نقطة معينة ، فإن الإنعكاس سيعكس الشكل بحيث يصبح متماثلًا بالنسبة للنقطة المحددة.

Explanation

الإنعكاس هو تحويل يقوم بعكس الشكل عندما يتم تمريره من خلال نقطة أو خط مستقيم أو مستوى. يتم تطبيق الإنعكاس عن طريق تغيير اتجاه الشكل بحيث يتم عكسه بالكامل. على سبيل المثال ، إذا كان الشكل متماثلًا حول نقطة معينة ، فإن الإنعكاس سيعكس الشكل بحيث يصبح متماثلًا بالنسبة للنقطة المحددة.

3. إزاحة النقطة و(5,3) فقاً للقاعدة ( x+2, y+1 ) يكون النقطة

(5,4)

(7,4)

(3,2)

(4,7)

The given question states that the point (5,3) is shifted according to the rule (x+2, y+1). This means that the x-coordinate of the point is increased by 2 and the y-coordinate is increased by 1. Applying this rule, the new x-coordinate would be 5+2=7 and the new y-coordinate would be 3+1=4. Therefore, the correct answer is (7,4).

Explanation

The given question states that the point (5,3) is shifted according to the rule (x+2, y+1). This means that the x-coordinate of the point is increased by 2 and the y-coordinate is increased by 1. Applying this rule, the new x-coordinate would be 5+2=7 and the new y-coordinate would be 3+1=4. Therefore, the correct answer is (7,4).

4. في الشكل المجاور : ¯(A'B') الأخضر هو صورة ¯AB الأزرق عن الانعكاس حول :

محور X

محور Y

المستقيم Y=X

نقطة الأصل

The green image is the reflection of the blue image about the Y-axis.

Explanation

The green image is the reflection of the blue image about the Y-axis.

5. ............. تحويل تدور به كل نقطة من نقاط الشكل بزاوية معينة واتجاه معين حول نقطة ثابتة :

الإنعكاس

الإزاحة

الدوران

التمدد

The correct answer is "الدوران" (rotation). This is because the given statement describes a transformation that involves rotating a point around a fixed point by a certain angle and in a specific direction.

Explanation

The correct answer is "الدوران" (rotation). This is because the given statement describes a transformation that involves rotating a point around a fixed point by a certain angle and in a specific direction.

6. عند تدوير النقطة (3,4 ) بزاوية 180 عكس عقارب الساعة حول نقطة الأصل ينتج النقطة

(4,3 )

(4,-3 )

(-4,3 )

(-3,-4 )

When rotating the point (3,4) by an angle of 180 degrees counterclockwise around the origin, the resulting point is (-3,-4).

Explanation

When rotating the point (3,4) by an angle of 180 degrees counterclockwise around the origin, the resulting point is (-3,-4).

7. صورة النقطة (5,3) بالإنعكاس حول محور y هي النقطة

(-5,-3)

(5,-3)

(-5,3)

(5,3)

The point (5,3) is being reflected across the y-axis, which means it will have the same x-coordinate but the opposite y-coordinate. Therefore, the correct answer is (-5,3).

Explanation

The point (5,3) is being reflected across the y-axis, which means it will have the same x-coordinate but the opposite y-coordinate. Therefore, the correct answer is (-5,3).

8. عند تدوير النقطة (3,4 ) بزاوية 90 عكس عقارب الساعة حول نقطة الأصل ينتج النقطة

(4,3 )

(4,-3 )

(-4,3 )

(-3,-4 )

When a point is rotated counterclockwise by 90 degrees around the origin, the new point is obtained by swapping the x-coordinate with the negative of the y-coordinate. In this case, the original point is (3,4). Swapping the x-coordinate with the negative of the y-coordinate gives us (-4,3), which is the correct answer.

Explanation

When a point is rotated counterclockwise by 90 degrees around the origin, the new point is obtained by swapping the x-coordinate with the negative of the y-coordinate. In this case, the original point is (3,4). Swapping the x-coordinate with the negative of the y-coordinate gives us (-4,3), which is the correct answer.

9. عند تدوير النقطة (3,4 ) بزاوية 270عكس عقارب الساعة حول نقطة الأصل ينتج النقطة

(4,3 )

(4,-3 )

(-4,3 )

(-3,-4 )

When a point (3,4) is rotated 270 degrees counterclockwise around the origin, it produces the point (4,-3).

Explanation

When a point (3,4) is rotated 270 degrees counterclockwise around the origin, it produces the point (4,-3).

10. صورة النقطة ( 4,1) بالإنعكاس حول محور x هي النقطة

( 4,1)

( -4,1)

( 4,-1)

( -4,-1)

The given question asks for the reflection of the point (4, 1) about the x-axis. When a point is reflected about the x-axis, the y-coordinate changes its sign. In this case, the y-coordinate of the point (4, 1) is positive, so when it is reflected about the x-axis, the y-coordinate becomes negative. Therefore, the correct answer is (4, -1).

Explanation

The given question asks for the reflection of the point (4, 1) about the x-axis. When a point is reflected about the x-axis, the y-coordinate changes its sign. In this case, the y-coordinate of the point (4, 1) is positive, so when it is reflected about the x-axis, the y-coordinate becomes negative. Therefore, the correct answer is (4, -1).