📐 geometry

1. نبدأ بتحديد إحداثيات النقطة G المعطاة بالمرجع {(A; -2); (B; 1); (C; -1)} حيث A(1;0), B(-3;2), C(1;3). صيغة إحداثيات G هي:

1. **بيان المسألة:** لدينا مثلث ABC ونقطة مرجعية G_k معرفة بالمعاملات {(A؛ k)،(B؛ −1)،(C؛ 1)} حيث k عدد حقيقي.

1. **بيان المسألة:** لدينا مثلث ABC ونريد دراسة المرجع $G_k$ المعرف بالمعاملات $k$، $-1$، و$1$ على التوالي للنقاط $A$, $B$, و$C$.

1. **Problem Statement:** Calculate the radius $x$ for sectors with given areas and central angles (Question 4). 2. **Formula:** The area $A$ of a sector with radius $r$ and centra

1. **Problem:** The curved surface area (CSA) of a right circular cylinder of height 14 cm is 88 cm². Find the diameter of the base of the cylinder. 2. **Formula:** The curved surf

1. **بيان المسألة:** لدينا مثلث ABC ونقاط A' و B' و C' معرفة بعلاقات متجهية:

1. **بيان المسألة:** لدينا مثلث ABC متساوي الأضلاع حيث $\alpha = AB = AC = BC$، ونريد دراسة مجموعة النقاط $\Gamma$ التي تحقق:

1. **State the problem:** Find the radius of a sector, the perimeter of the flower bed, and the area of the flower bed based on given dimensions.

1. **Problem Statement:** We are given a parallelogram with angles labeled as $44^\circ$, $52^\circ$, $y^\circ$, $x^\circ$, and $97^\circ$. We need to find the values of $x$ and $y

1. ප්‍රශ්නය: 28 cm පසැලැස්සූ චතුරස්‍රයක (ABCD) A කේන්ද්‍රයෙන් බිත්තියක් ලෙස quarter circle එකක් ඇඳී ඇත. අපිට එහි විවිධ ගණිතමය ගුණාංග සොයාගත යුතුය. 2. පළමුව, quarter circle එකේ ආරම්

1. **State the problem:** Find the midpoint of the points $A(15, 18)$ and $B(15, 18)$. 2. **Formula:** The midpoint $M$ of two points $A(x_1, y_1)$ and $B(x_2, y_2)$ is given by:

1. Let's start by defining the problem: We need to determine whether a given scalene triangle is obtuse or acute. 2. Recall the definitions:

1. **Problem:** Determine the type of triangle based on the lengths of the sides. 2. **Formula and rules:**

1. The problem is to graph the coordinates, but no specific coordinates were provided. 2. To graph coordinates, you need pairs of numbers in the form $(x, y)$.

1. **State the problem:** We need to find the area of quadrilateral ACDE given the sides and angles: AB = 10 cm, AE = 21 cm, BC = 20 cm, and angle CDE = 150°. 2. **Analyze the figu

1. **Problem statement:** We have a rhombus ABCD with side length 7 cm, angle \(\angle D = 120^\circ\), and \(\angle C = 60^\circ\). We need to find the length of diagonal AC to 1

1. **Problem statement:** We have a rhombus ABCD with side length 9 cm, angles \(\angle D = 100^\circ\) and \(\angle C = 80^\circ\). We need to find the length of diagonal AC to 1

1. **State the problem:** We are given an L-shaped polygon with dimensions involving $x$ and the total area is 137 cm². We need to show that the equation $3x^2 + 2x - 120 = 0$ hold

1. **Problem Statement:** Given two planes with equations $\vec{r} \cdot \hat{a} = p$ and $\vec{r} \cdot \vec{b} - q = 0$, find:

1. **Problem statement:** Given a circle with center $O$, points $A$, $B$, and $C$ lie on the circumference. $AB$ is a side of a regular pentagon (5-sided polygon) inscribed in the

1. **Problem Statement:** Given a circle with center $O$, points $A$, $B$, and $C$ lie on the circumference. $AB$ is a side of a regular pentagon (5-sided polygon) inscribed in the