📐 geometry

1. The problem states that quadrilateral $ABCD$ has one pair of opposite sides $AB$ and $CD$ that are both congruent and parallel. 2. Alessandra wants to prove that $ABCD$ is a par

1. The problem is to select the correct rephrased statement that Vera can use to prove that any rectangle is also a parallelogram. 2. Recall the definitions:

1. The problem states that quadrilateral $ABCD$ has diagonals $AC$ and $BD$ that bisect each other at point $E$. 2. We want to prove that $\overline{AB} \parallel \overline{CD}$ by

1. The problem asks to select the correct rephrased statement for Kun's proof that if opposite sides of a quadrilateral are congruent, then it is a parallelogram. 2. The key proper

1. **Problem statement:** Alva wants to prove that opposite sides in a parallelogram are congruent by establishing the congruence of a single pair of triangles. 2. **Given:** Quadr

1. The problem is to prove that if the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. 2. Recall the definitions:

1. **Stating the problem:** We have a quadrilateral $ABCD$ with $AB \parallel CD$ and $\angle ADC = 90^\circ$. We need to determine which two statements among A, B, C, and D must b

1. The problem involves plotting points and understanding their positions on a coordinate plane. 2. We have two points: Kidnapper at $(1,3)$ and Victim at $(8,10)$.

1. **State the problem:** We need to calculate the volume of a cuboid with given dimensions: height = 4 cm, length = 19 cm, and a diagonal of one face = 21 cm. 2. **Recall the form

1. **State the problem:** We need to find the volume of a right-angled triangular prism with a triangular base having sides 21 m and 37 m at a right angle, and the prism length (de

1. প্রশ্ন: P(0,2) বিন্দুর গোলকের সমাধ্ববক নির্ণয় কর। 2. গোলকের সমাধ্ববক (radius) নির্ণয়ের সূত্র হলো:

1. **Stating the problem:** We have two lines meeting at point O with angles 68°, 124°, and 120° given. We need to determine which statement about the lines is true: whether they a

1. نبدأ ببيان المسألة: لدينا مثلث ABC مع نقاط M على AB وN على AC، وقطعتا مستقيم BC وMN متوازيتان. 2. المعطيات: AF=2، AC=8، AM=12، AB=16، AE=4، و(BC) // (MN).

1. **Stating the problem:** We are given two lines, MN and PO, and we need to determine the relationship between them: whether they are perpendicular, parallel, not parallel, or no

1. The problem asks to find the difference between angles $e$ and $f$ in the figure where two lines intersect forming four angles. 2. Given that one angle adjacent to $f$ is $124^\

1. Bài 1: Xem hình bên rồi chọn kí hiệu \(\in\) (thuộc), \(\notin\) (không thuộc) hoặc các từ "đi qua", "không đi qua" để điền vào chỗ trống sao cho hợp nghĩa. - a) \(C \in a\); \(

1. **بيان المسألة:** في التمرين الأول، نكمل الشكل الهندسي المعطى ونجيب عن الأسئلة المتعلقة بالنقاط والمسقط العمودي والعلاقات بين المستقيمات.

1. The problem asks for the area of a semicircle with a diameter of 6 units. 2. The formula for the area of a full circle is $$A = \pi r^2$$ where $r$ is the radius.

1. **State the problem:** We are given the volume of a sphere as $2400$ m³ and asked to find the diameter $d$. 2. **Recall the formula for the volume of a sphere:**

1. **Problem 1:** Find the radius $r$ of a cone with height $h=12$ km and volume $V=100\pi$ km³. The volume formula for a cone is:

1. The problem asks: Which of the following is a solid figure? 2. A solid figure is a three-dimensional shape that has length, width, and height.