📐 geometry

1. **State the problem:** We need to find the perimeter and area of a parallelogram-shaped cookie cutter with vertices at points $A(3,2)$, $B(4,4)$, $C(6,4)$, and $D(5,2)$ on a coo

1. **State the problem:** We need to find the area and perimeter of a parallelogram with vertices A(-8,0), B(5,5), C(9,0), and D(-4,-5). Each unit on the graph corresponds to 5 met

1. The problem is to measure the bearing of point L from point M using a protractor. 2. A bearing is the angle measured clockwise from the north direction at point M to the line se

1. **State the problem:** We need to find the total area of the two shaded faces of a cuboid. The cuboid has dimensions: height = 9 cm, width = 6 cm, and length = 11 cm. The shaded

1. **State the problem:** We need to find the perimeter of a right-angled triangle with sides 8 cm, 2 cm, and 15 cm given. 2. **Identify the sides:** The triangle has a vertical si

1. The problem asks to identify which labeled angles on the triangular prisms are right angles. 2. A right angle is an angle of exactly 90 degrees.

1. **State the problem:** We need to find the size of angle $x^\circ$ in a right triangle where the side opposite to angle $x$ is 16 and the adjacent side is 13. 2. **Formula used:

1. **Problem statement:** We have a right triangle ABC with vertical side AB = 2 m, horizontal side BC = 3 m, and hypotenuse AC. We need to find:

1. **State the problem:** We need to find the total surface area of a cylinder given its net. 2. **Identify the parts of the net:** The net consists of a rectangle and two circles.

1. **State the problem:** We are given a cylinder with a top face area of $14\pi$ cm² and a curved surface area of $29\pi$ cm². We need to find the total surface area of the cylind

1. **State the problem:** We have a circle with center $O$ and two chords inside it. We need to find the lengths $a$ and $b$ of parts of these chords.

1. **State the problem:** We have a right triangle with a hypotenuse of length 29 inches and a vertical side (height) of 14 inches. We need to find the length of the horizontal sid

1. **State the problem:** We need to find the coordinates of the centre of enlargement that maps shape A onto shape B. 2. **Understanding centre of enlargement:** The centre of enl

1. **State the problem:** We are given two intersecting lines forming four angles. One angle is 89° at the top, and at the bottom right, there is an angle of 22° adjacent to angle

1. Planteamos el problema: Tenemos una valla que actúa como hipotenusa de un triángulo rectángulo con longitud $\sqrt{200}$ metros. Queremos encontrar las medidas de los otros dos

1. **State the problem:** We need to find the angle $c$ in a triangle or geometric figure. 2. **Identify the known information:** Since the problem is brief, we assume we have a tr

1. **State the problem:** We need to find the size of angle $c$ in a triangle where two sides are equal, and two angles are given as $30^\circ$ and $51^\circ$. 2. **Recall the prop

1. **State the problem:** We are given the line equation $y = -\frac{4}{3}x + 4$ and need to:

1. **Stating the problem:** We have two parallel lines \(\overline{HE}\) and \(\overline{AD}\) intersected by a transversal \(\overline{BF}\) at points \(G\) and \(C\). Given \(m\a

1. **State the problem:** We have two satellites orbiting Earth. The first satellite's orbit is a circle with equation $x^2 + y^2 = 56250000$. The second satellite's orbit is 200 k

1. **State the problem:** We need to find the area of a square room with side length $2 \frac{1}{5}$ meters. 2. **Formula:** The area $A$ of a square is given by: