📐 geometry

1. **Problem Statement:** Identify which of the triangles labeled A, B, or C is a reflection of the original triangle with vertices approximately at $(1,4)$, $(3,3)$, and $(2,1)$.

1. **Problem statement:** We have a rectangle of length 9 cm and height 6 cm.

1. The problem asks to identify which image shows a reflection of the original triangle. 2. A reflection is a transformation producing a mirror image of a shape across a line, pres

1. **State the problem:** We are given two angles at point P, \(m\angle 1 = (x + 28)^\circ\) and \(m\angle 2 = (3x + 14)^\circ\), with lines \(MN \parallel PQ\) and \(NP\) a transv

1. **Problem statement:** We have a circle with a tangent line EDC touching the circle at point D. Angle between the tangent EDC and chord DB at point D is 29°.

1. **State the problem:** Two students build boxes: one a cube with edge 60 cm, the other a rectangular prism with width $w$ cm, height 30 cm, and depth 45 cm. Both boxes have the

1. **Problem Statement:** Calculate the area of the given trapezoid-like polygon with the following dimensions: - Left vertical height: 4 cm

1. **Problem statement:** We have a circle with center O and points H, J, K, L, M on its circumference. MK is a diameter and is parallel to chord HJ. Given MJ = JL and angle JMK =

1. **State the problem:** We have a net of a cube with edges labeled A, B, C, D, E, F, and X. We need to determine which edge joins with edge X when the net is folded into a cube.

1. The problem asks to identify the mathematical names of four given shapes labeled A, B, C, and D. 2. The shapes are described as follows:

1. **State the problem:** We have two identical, overlapping regular octagons (8-sided polygons) and need to find the size of the angle labeled $g$ formed at their intersection. 2.

1. **Problem statement:** We have two identical, overlapping regular nonagons (9-sided polygons). We need to calculate the size of the angle $f$ formed at the top vertex of the kit

1. **State the problem:** We need to find the size of angle $\angle EDC$ in the given polygon with known angles at points $A$, $B$, $C$, and $E$. 2. **Given angles:**

1. **Problem 1:** Calculate the size of angle $x$ in the cyclic quadrilateral $ABEC$ where angle $D$ is $136^\circ$. 2. **Key fact:** Opposite angles in a cyclic quadrilateral sum

1. **State the problem:** We have a parallelogram-based prism with volume 1430. The prism's base is a parallelogram with base length $b$ and height 11. The prism's length (height o

1. **State the problem:** Find the volume of a prism with a parallelogram base where the base has a height of 4 units and a base length of 6 units, and the prism length (depth) is

1. Задачата е да определим ъглите между правите в правоъгълен паралелепипед ABCDA1B1C1D1 с дадени размери $BC=2$ и $AA1=4$. Точка $P$ е на ръба $DD1$ с $DP=1$, точка $M$ е среда на

1. **State the problem:** We have two similar polygons, Polygon A and Polygon B.

1. **State the problem:** We have triangle \(\triangle ABC\) with vertices \(A(-2, 2)\), \(B(-8, 7)\), and \(C(-7, -2)\). We apply a sequence of transformations: rotate 90° about t

1. O problema pede para calcular o comprimento da diagonal BD do retângulo ABCD, onde os pontos A = (0,0), B = (1,4) e C = (3,6) são vértices consecutivos. 2. Primeiro, lembre-se q

1. **Stating the problem:** We have a right triangle $\triangle ABC$ with $m(\angle B) = 90^\circ$, $m(\angle C) = 60^\circ$, and side $BC = 4$ cm.