📐 geometry

1. The problem asks to select a type of shape and draw five or six examples of that type, ensuring each shape looks different. 2. Let's choose "triangles" as the type of shape.

1. **State the problem:** We need to find the area of a square with side length 8 cm. 2. **Formula:** The area $A$ of a square is given by the formula:

1. **Problem:** If \(\angle 1\) and \(\angle 2\) are vertical angles and \(m\angle 2 = 112^\circ\), find \(m\angle 1\). 2. **Formula and rule:** Vertical angles are congruent, mean

1. **State the problem:** We have a circle with a secant line passing through points H, G, and F, and a tangent line EF touching the circle at point E. We know the lengths HG = 8 a

1. Staðfesta verkefnið: Við þurfum að reikna flatarmál litaða svæðisins sem er innan fjögurra ferninga með hliðarlengd $x = 37$ cm, þar sem efri hægri ferningurinn hefur fjórðungs

1. Staðfesta vandamálið: Við höfum ferning með hliðarlengd $x = 18$ cm. 2. Reikna ummál ferningins: Ummál ferningur er gefið með formúlunni $$P = 4x$$

1. Staðfesta vandamálið: Við erum með keilu með geisla (radius) $r=4$ cm og horn $x=143^\circ$ sem lýsir hliðarflöt keilunnar. 2. Yfirborðsflatarmál keilu er summa grunnflatar (hri

1. **State the problem:** We have two similar shapes, A and B. We need to:

1. **Zadanie 1: Oblicz pole całkowite oraz objętość prostopadłościanu o wymiarach 4 x 5 x 6.** Formuły:

1. **Zadanie 1: Oblicz pole całkowite oraz objętość prostokątnorównoległościanu o wymiarach 4 x 5 x 6** Formuły:

1. **Problem statement:** Calculate the surface area of each object. 2. **Formula for surface area of a rectangular box:**

1. **State the problem:** Write the standard form equation of the circle given its center and radius. 2. **Recall the standard form of a circle's equation:**

1. The problem asks to write the standard form equation of each circle given its center and radius. 2. The standard form equation of a circle with center $(h, k)$ and radius $r$ is

1. The problem gives a rectangular scale drawing of a trampoline with width $w = 5$ inches and length $l = 8$ inches. 2. The scale is $1$ inch : $2$ feet, meaning each inch on the

1. **State the problem:** We are given two triangles, \(\triangle ABC\) and its dilation \(\triangle A'B'C'\), and we want to find the correct scale factor relating the two triangl

1. **State the problem:** Your friend claims the scale factor of a dilation centered at (0,0) is $\frac{7}{5}$. We need to find the correct scale factor and identify the likely mis

1. **Problem:** Find the surface area of a sphere with diameter 24.8 mm. 2. **Formula:** Surface area of a sphere is given by $$A = 4\pi r^2$$ where $r$ is the radius.

1. **State the problem:** We have a triangle with sides 7.8 mi, 7.8 mi, and 8 mi, which is almost equilateral but with a base of 8 mi. Inside the triangle, there is a circle with a

1. **State the problem:** We need to find the perimeter of the trapezoidal base of the prism. 2. **Identify the trapezoid sides:** The trapezoid has two parallel sides of length 12

1. The problem asks for the area of a rhombus-shaped window given the lengths of its diagonals. 2. The formula for the area of a rhombus is $$\text{Area} = \frac{1}{2} \times d_1 \

1. **State the problem:** Find the area of the given compound figure composed of two rectangles. 2. **Identify the shapes and dimensions:**