This geometry worksheet focuses on the transformation known as reflection within the coordinate plane. Students are required to apply reflection rules across the x-axis and the y-axis to specific points and shapes. The fundamental principles covered include identifying how coordinates change: a reflection across the y-axis results in \((x, y) \rightarrow (-x, y)\), changing the sign of the x-coordinate, while a reflection across the x-axis results in \((x, y) \rightarrow (x, -y)\), changing the sign of the y-coordinate. The practice problems range from point-based reflections to interpreting graphical representations and algebraic notations.
رقم الاختبار990
الصفالصف التاسع المتقدم
المادةرياضيات
الفصلالفصل الثالث
السنة الدراسية2025/2026
عدد الأسئلة18
إجمالي النقاط18
تاريخ الإضافة2026-04-23
الزيارات15
المعلم أو الناشرMaya Dayoub
اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
Question 1
Points: 1
Reflect the point (2, -4) over the y-axis.
Explanation
Reflecting a point over the y-axis changes the sign of the x-coordinate while keeping the y-coordinate the same. Thus, \((2, -4) \rightarrow (-2, -4)\).
Question 2
Points: 1
Reflect (6, -3) over the line x-axis.
Explanation
Reflecting a point over the x-axis changes the sign of the y-coordinate while keeping the x-coordinate the same. Thus, \((6, -3) \rightarrow (6, 3)\).
Question 3
Points: 1
Reflect Point C over the y-axis:
Explanation
Based on the graph, Point C is located at (3, 2). Reflecting it over the y-axis changes the sign of the x-coordinate, resulting in (-3, 2).
Question 4
Points: 1
\(\Delta QRS\) contains the points: Q(4, 2) R(5, 1) S(3, 7). If the triangle is reflected across the y-axis, what will S' be?
Explanation
Point S is at (3, 7). A reflection across the y-axis uses the rule \((x, y) \rightarrow (-x, y)\), so S becomes S'(-3, 7).
Question 5
Points: 1
Reflecting over the y-axis changes the ____-_____________.
Explanation
When reflecting over the y-axis, the x-coordinate changes sign, whereas the y-coordinate remains unchanged.
Question 6
Points: 1
The reflection of J(-1, 11) is J'(-1, -11). What is the reflection of D(5, -5) when reflected over the same axis of reflection?
Explanation
The change from J(-1, 11) to J'(-1, -11) shows that the y-coordinate changed sign, which is a reflection over the x-axis. Applying this rule to D(5, -5), the y-coordinate changes from -5 to 5, resulting in (5, 5).
Question 7
Points: 1
Point C(-5, 4) is reflected over the x-axis. What are the coordinates of C'?
Explanation
Reflecting over the x-axis changes the sign of the y-coordinate. Thus, C(-5, 4) becomes C'(-5, -4).
Question 8
Points: 1
What is this transformation? (x, y) \(\rightarrow\) (-x, y)
Explanation
The rule \((x, y) \rightarrow (-x, y)\) corresponds to a reflection across the y-axis because only the x-coordinate changes sign.
Question 9
Points: 1
Where will A' be at, if triangle ABC is reflected by (x, y) \(\rightarrow\) (-x, y)?
Explanation
In the graph, point A is located at (-2, 1). Using the reflection rule \((x, y) \rightarrow (-x, y)\), the coordinates become (2, 1).
Question 10
Points: 1
What is the Algebraic Notation for this Reflection?
Explanation
The image shows a reflection across the y-axis (flipping horizontally from the \left side of the y-axis to the \right side). The rule for this is \((x, y) \rightarrow (-x, y)\).
Question 11
Points: 1
What is the Algebraic Notation for this Reflection?
Explanation
The image shows a reflection across the x-axis (flipping vertically from the top side of the x-axis to the bottom side). The rule for this is \((x, y) \rightarrow (x, -y)\).
Question 12
Points: 1
Point G(-7, -9) is reflected to G'(-7, 9). Is the reflection shown a reflection over the x-axis or y-axis?
Explanation
Between G and G', the x-coordinate stayed the same (-7) and the y-coordinate changed sign (-9 to 9). This indicates a reflection over the x-axis.
Question 13
Points: 1
Rule: (x, y) \(\rightarrow\) (-x, y). This is the reflection rule over the...
Explanation
Changing the sign of the x-coordinate while the y-coordinate remains constant defines a reflection across the y-axis.
Question 14
Points: 1
A figure in Quadrant I is reflected into Quadrant IV. What axis is this reflection describing?
Explanation
Quadrant I is (+x, +y) and Quadrant IV is (+x, -y). Only the y-coordinate changes sign, which occurs during a reflection over the x-axis.
Question 15
Points: 1
Rule: (x, y) \(\rightarrow\) (x, -y). This is the reflection rule over the...
Explanation
The rule \((x, y) \rightarrow (x, -y)\) is the standard algebraic notation for a reflection across the x-axis.
Question 16
Points: 1
The ordered pair (3, 14) \(\rightarrow\) (3, -14) shows a reflection across the
Explanation
Since the y-coordinate changed from 14 to -14 while the x-coordinate remained 3, the reflection is over the x-axis.
Question 17
Points: 1
This image is being reflected across the
Explanation
The diagram shows a horizontal flip of an arrow across the vertical axis (y-axis).
Question 18
Points: 1
What would be the coordinates of point K if it was reflected over the y-axis?
Explanation
Point K is shown at (-5, -2) on the grid. Reflecting it over the y-axis changes the x-coordinate to its opposite, resulting in (5, -2).
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