📐 geometry

1. **State the problem:** We are given a geometry figure with angles labeled 1 to 8 formed by two intersecting lines and a transversal. We need to find vertical angles, linear pair

1. **State the problem:** We have a composite shape consisting of a large rectangle with two notches: a rectangular notch on the upper-left and a semicircular notch on the upper-ri

1. **Problem Statement:** We have a hexagon with a circle inside it. The dashed segment from the top vertex to the center of the hexagon is $8.31$ dm, and a dashed side outside the

1. **Problem Statement:** We have three parallel lines $l$, $m$, and $n$ cut by a transversal $p$. Given that $\angle y + \angle z = 270\degree$, we need to find $\angle x$. 2. **K

1. You asked for complex construction problems to practice for your local O-Level exam. 2. Construction problems typically involve geometric constructions using compass and straigh

1. **Problem 3: Find the value of $x$ given two parallel lines and angles $145^\circ$ and $41^\circ$.** 2. When two lines are parallel, alternate interior angles or corresponding a

1. **State the problem:** We need to find the area of a trapezoid with vertices approximately at points $(19,88)$, $(62,86)$, $(61,81)$, and $(61,81)$ (the last two points seem rep

1. **Problem statement:** Find the value of the interior angle $a$ in a quadrilateral where three exterior angles are given as $62^\circ$, $53^\circ$, and $105^\circ$. 2. **Key fac

1. **Problem:** Work out the values of $a$, $b$, and $c$ in the angle diagram with angles $49^\circ$, $a^\circ$, $c^\circ$, $83^\circ$, and $b^\circ$. 2. **Formula and rules:** Ang

1. **Nyatakan masalah:**\nDiberi sebuah bulatan dengan jejari $r = 10$ cm yang dibahagikan kepada 4 sektor. Luas sektor-sektor ini membentuk janjang geometri (geometric progression

1. **مسألة الدائرة:** معادلة الدائرة المعطاة هي $$3x^2 + 3y^2 - 4x - 6y - 1 = 0$$ 2. **تبسيط المعادلة:** نقسم كل الحدود على 3 للحصول على الشكل القياسي:

1. **State the problem:** We need to find the cost of fencing Mr Rhulben's remaining land after parts shaped as triangle PQR and rectangle STUV are removed.

1. **Problem 1: Calculate the perimeter of the whole diagram with two overlapping squares of sides 8 cm and 2 cm.** 2. The perimeter of a square is given by the formula $$P = 4 \ti

1. The problem asks if angle $y$ is also $97$ degrees. 2. To determine this, we need to know the relationship between angle $y$ and the $97$ degrees angle mentioned.

1. **Problem Statement:** We analyze the top-left graph where two parallel horizontal lines $AB$ and $DE$ are cut by a transversal $CF$. The angles given are:

1. A square is a rectangle. - A rectangle is defined as a quadrilateral with four right angles.

1. **State the problem:** We need to find the value of $x$ given three angles around a point: $(x + 12)^\circ$, $100^\circ$, and $x^\circ$. 2. **Important rule:** The sum of angles

1. **Problem Statement:** We are given a quadrilateral with two diagonals intersecting at a right angle (90°). One angle formed between the base and a diagonal is 30°, and we need

1. The problem involves estimating the area of two blue parallelograms drawn on a square grid by counting the number of full and partial squares they cover.\n\n2. To estimate the a

1. **State the problem:** We need to find the image of triangle $\triangle ABC$ after a dilation centered at point $P$ with a scale factor of $\frac{1}{2}$.

1. **Problem Statement:** Understand the properties of parallelograms. 2. **Definition:** A parallelogram is a quadrilateral with both pairs of opposite sides parallel.