📐 geometry

1. **State the problem:** We have a pentagon ABCDE inscribed in a circle with center O. Given: DC = DE, angle CÔB = 44°, and angle ABÊ = 59°.

1. Kąt α przy wierzchołku A między krawędziami AB i AF to kąt nachylenia krawędzi bocznej do podstawy ostrosłupa. 2. Kąt 2α przy wierzchołku D między krawędziami DE i DS to kąt nac

1. The problem is to identify the original blue line and the perpendicular green line on the coordinate plane. 2. The blue line is a horizontal arrow along the x-axis near $y=-7$,

1. **State the problem:** We need to find the value of $x$ using the theorems that angles in the same segment of a circle are equal and that an angle in a semicircle is $90^\circ$.

1. Let's start by stating the problem: We want to know the formulas for the area and perimeter of common geometric shapes. 2. For a rectangle:

1. The problem asks for the corresponding angles for angles N and P based on the image you sent. 2. Corresponding angles are pairs of angles that are in similar positions at each i

1. The problem is unclear as "corresponding angels" is ambiguous. Assuming you meant "corresponding angles" in geometry, which are equal angles formed when a transversal crosses tw

1. The problem asks to identify corresponding angles after a rotation and verify answers about transformations and congruence. 2. For the rotation of figure KOPQ to KLMN, correspon

1. **State the problem:** We are given a figure with points A, H, D, C, B and the following data: $m(\angle AHD) = m(\angle C)$, $AH = 14$ cm, $HD = 12$ cm, $CB = 15$ cm, and $DB =

1. The problem involves a right-angle triangle divided into four smaller triangular plates with given areas and front segment lengths. 2. We are given the areas in Marla and square

1. **State the problem:** We need to find the perimeter of an L-shaped polygon on a grid where each unit corresponds to 1 cm. 2. **Analyze the shape:** The L-shape consists of a ve

1. **State the problem:** We need to find the perimeter of an L-shaped polygon on a grid where each square is 1 cm by 1 cm. 2. **Analyze the shape:** The shape covers 3 cm horizont

1. **State the problem:** We need to find the perimeter of an "L" shaped figure on a 6x6 grid where each grid square side is 1 cm. 2. **Identify the lengths of each side:**

1. Statement 36: The perpendiculars drawn from the vertices of a triangle to the opposite sides are known as the altitudes of the triangle. Conclusion I: The line segments joining

1. نُعطى النقاط: ا=(3,2)، ب=(-2,5)، ج=(-7,5)، د=(6,0). 2. المطلوب: إثبات أن القطعتين اج وبد ينصف كل منهما الآخر، أي أن نقطة منتصف اج هي نفسها نقطة منتصف بد.

1. The problem states that an equilateral triangle with side length $s$ is inscribed in a circle, and we need to find the radius $r$ of the circle in terms of $s$. 2. In an equilat

1. **State the problem:** We need to find the values of angles $a$, $b$, $c$, and $d$ in the cyclic quadrilateral $WXYZ$ inscribed in a circle, given the other angles at points $X$

1. The problem asks to find the length of the shortest side of the triangle in millimetres and the size of the largest angle. 2. Since the largest angle is given as 124°, the short

1. The problem states that $r(180^\circ, O)(\triangle ABC) = \triangle A'B'C'$, meaning $\triangle ABC$ is rotated 180 degrees about the origin $O$ to get $\triangle A'B'C'$. We ne

1. The problem asks to create an image of 5 options arranged in a triangular shape. 2. To visualize this, imagine placing the options as points forming a triangle.

1. **Problem Statement:** Divide a triangular plate with sides 176 ft (front), 107 ft, and 102 ft into four parts using three straight lines such that three parts are equal in area