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.
🏆 انضم إلى التحدي واحصل على ترتيبك
اختبار شهادة تدريبي مؤقت للصف والمادة والفصل نفسه.
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.
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
DB ID: 2478
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
DB ID: 2479
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
DB ID: 2480
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
DB ID: 2481
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 8
DB ID: 2482
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 9
DB ID: 2483
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 10
DB ID: 2484
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 11
DB ID: 2485
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 12
DB ID: 2486
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 13
DB ID: 2487
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 15
DB ID: 2488
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 16
DB ID: 2489
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 17
DB ID: 2490
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 18
DB ID: 2491
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 19
DB ID: 2492
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 20
DB ID: 2493
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 21
DB ID: 2494
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).
Result Tracking
Answered0 / 18
Correct Answers0
Wrong Answers0
Current Percentage0%
Quiz Completed
This is your final result after answering all questions.
Final Result
0/180%
Correct Answers0
Wrong Answers0
Answered Questions0 / 18
Total Possible Points18
You can reopen the page to start again.
يمكنك تسجيل الدخول لحفظ سجل محاولاتك، معرفة أخطائك المتكررة، والحصول على نصائح مخصصة. تسجيل الدخول باستخدام Google
Here are more quizzes for الصف التاسع المتقدم by الفصل الثالث and subject رياضيات
This section is rendered only when the user reaches it while scrolling.
...
🍪
إشعار ملفات تعريف الارتباط
يستخدم هذا الموقع ملفات تعريف الارتباط لتحسين تجربة التصفح وقياس الأداء وعرض المحتوى بشكل أفضل.
باستخدامك للموقع فإنك توافق على استخدامنا لها وفق
سياسة الخصوصية.