📐 geometry

1. **Problem Statement:** List all the lines in the given figure with points G, C, L, B, I, and the slanting line through points 13, 17, and k. 2. **Lines Definition:** A line exte

1. **Stating the problem:** We are given three triangles with side lengths: - Top triangle: 7, 7, 25

1. نبدأ ببيان المسألة: لدينا مثلث قائم الزاوية مع زوايا 30 و60 و90 درجات، وطول أحد الأضلاع المقابلة للزاوية 30 هو 3. 2. القاعدة المهمة في مثلث 30-60-90 هي أن أطوال الأضلاع تتناسب ك

1. **Problem statement:** Given a right triangle أ د ج with a right angle at د and side lengths ٤ and ٤, find the length of the hypotenuse أ ج and verify the length of segment ه ج

1. The problem is to understand the triangle congruence postulates SSS, SAS, and ASA and see examples for each. 2. Triangle congruence postulates are rules that allow us to determi

1. **Problem statement:** Given a circle with center $C$, points $A$, $B$, and $D$ on the circumference, and $\angle ABD = 38^\circ$, find the measure of $\angle CAD$ in triangle $

1. **Problem statement:** We have a circle with center $C$ and radius 8 cm. The angle $\angle FEG = 45^\circ$ is given.

1. **State the problem:** Prove that point E bisects both diagonals AC and BD in a parallelogram ABCD. 2. **Given:** AB || CD and AD || BC (definition of a parallelogram).

1. The problem asks to select the correct rephrased statement for Rebecca's proof that if the diagonals in a parallelogram are perpendicular, then it is a rhombus. 2. Recall the de

1. The problem is to understand the properties of a cube. 2. A cube is a three-dimensional solid object bounded by six square faces, with three meeting at each vertex.

1. The problem asks for the minimum amount of paper Sarah will need to wrap a package that measures 46 cm. We need to clarify what "46 cm" refers to (likely the perimeter or a dime

1. The problem asks for the coordinates, but it is unclear what specific coordinates are needed (e.g., of a point, vertex, intercept, etc.). 2. To find coordinates, we typically ne

1. **Determine the volume of the L-shaped prism (1a).** The shape can be divided into two rectangular prisms.

1. **State the problem:** We need to find the area of a triangle with sides 12 mm, 8.4 mm, and 19 mm. 2. **Formula used:** Since we know all three sides, we use Heron's formula for

1. **Problem Statement:** Determine the volume of the L-shaped rectangular prism with dimensions given: one part is 16 cm height, 24 cm length, 6 cm width; the other part is 16 cm

1. **State the problem:** We have a scale drawing where 1 cm represents 2 m in real life.

1. **State the problem:** We need to find the lengths of the parallel sides of a trapezium given its area, the ratio of the parallel sides, and the perpendicular distance between t

1. **State the problem:** Reflect trapezoid CDEF over the x-axis. 2. **Vertices of trapezoid CDEF:**

1. The problem is to find the missing side lengths of four right triangles using the Pythagorean theorem. 2. The Pythagorean theorem states that in a right triangle, the square of

1. The problem asks to find the length of the missing side (hypotenuse) of the triangle labeled "b" with legs 6 cm and 6 cm. 2. We use the Pythagorean theorem for right triangles:

1. **Problem statement:** We have 6 parallel lines cut by two transversals, creating segments with some missing lengths $x$, $y$, $z$, and $w$. We need to find these missing length