📐 geometry

1. The problem is to analyze the points (25,24), (-25,24), (-25,-24), and (25,-24). 2. These points represent coordinates in the Cartesian plane.

1. The problem states that A and B represent the minute and hour hands of a clock initially at 12 and 3 respectively. 2. The initial angle between A (minute hand at 12) and B (hour

1. **State the problem:** We need to find the total number of squares in the given figure, which consists of multiple intersecting lines forming several squares of different sizes.

1. The problem involves folding a square transparent sheet along the diagonal dotted line from the top-left corner to the bottom-right corner. 2. The original pattern shows a right

1. **State the problem:** We are given a diamond-shaped quadrilateral EFGH with sides EF = FG = GH = HE. We need to prove that triangle EHF is congruent to triangle GHF. 2. **Analy

1. **State the problem:** We need to prove that triangle EHF is congruent to triangle GHF given that EF = FG = GH = HE. 2. **Given information:** All sides EF, FG, GH, and HE are e

1. Problem 8(a): Two intersecting lines with angles 52°, 35°, and x. - Since vertical angles are equal, and the sum of angles around a point is 360°, we find $x$ by:

1. **State the problem:** We have a right triangle formed by the wall, the floor, and the tube. The wall is vertical with length 2.7 m, the floor is horizontal with length 3.6 m, a

1. সমস্যাটি হলো, চিত্রে দেওয়া হয়েছে \(\angle PQR = 55^\circ\), \(\angle LRN = 90^\circ\), এবং \(PQ \parallel MR\)। আমাদের \(\angle MRN\) এর মান নির্ণয় করতে হবে। 2. যেহেতু \(PQ \

1. The problem asks which rule explains why the two triangles TUV and XWY are congruent. 2. The Side-Angle-Side (SAS) congruence rule states that if two sides and the included angl

1. The problem involves constructing scale drawings based on a square with side length 6 units on a grid and a scale reference of 18 meters. 2. Each side of the square measures 6 u

1. The problem describes a square with each side measuring 6 units. 2. Since all sides of a square are equal, the side length is 6.

1. **State the problem:** Write the equation in standard form for the circle with diameter endpoints at $\left(\frac{19}{2}, \frac{15}{2}\right)$ and $\left(\frac{11}{2}, \frac{21}

1. نبدأ بكتابة معطيات المسألة: النقطة م = (0, 300) والمستقيم معادلته: $$y = 1043 + k(42 - 141)$$ 2. نعيد كتابة معادلة المستقيم بشكل أبسط. الفرق في الإحداثيات هو: $$42 - 141 = -99$$

1. نُعطى متجهين اتجاهيين للمستقيمين: $$\vec{u} = \left(\frac{13}{12}, 0, 0\right), \quad \vec{v} = \left(\frac{7}{3}, -\frac{2}{3}, \frac{4}{3}\right)$$

1. **State the problem:** Given that triangles $\triangle ADB$ and $\triangle BCA$ are congruent, prove that segments $DE$ and $CE$ are congruent. 2. **Given:** $\triangle ADB \con

1. The problem states that the circumference of a circle is 24 cm, and we need to find the area of the circle in terms of $\pi$. 2. Recall the formula for the circumference of a ci

1. **State the problem:** We need to find the area of a trapezium with parallel sides of lengths 3.641 and 2.996 units, and a width (distance between the parallel sides) of $\frac{

1. **State the problem:** We need to find the arc measure of the major arc \(\overset{\frown}{BAD}\) on circle \(P\) in degrees. 2. **Identify given information:** The central angl

1. **State the problem:** We have a triangle with two sides measuring 7.5 cm and 8.9 cm, and the angle between them is 78°. We need to find the length of side $d$ opposite the 78°

1. Задачата е да се определи пресечната права на рамнините T и P. 2. Рамнината T е дефинирана со точка T(-50,30,30) и рамнината P со точка P(30,-60,50).