📐 geometry

1. The problem asks to identify the term for a line, segment, or ray that divides an angle into two equal parts. 2. The key concept here is the "Angle Bisector." An angle bisector

1. **State the problem:** We need to find the measure of angle QA in the triangle with angles expressed as $x+4$ and $2x-7$ at vertex O. 2. **Recall the triangle angle sum rule:**

1. **Problem Statement:** Given triangle PQS with sides PQ = $z$, PS = 127, and QS = $x$, angles at Q and S are equal, and angle at P is split into two angles $y$ and $p$. The inte

1. **Problem Statement:** Find the volume of a cone with height $h=15$ meters and radius $r=7$ meters. 2. **Formula:** The volume $V$ of a cone is given by

1. **State the problem:** We need to find the volume of a rectangular pyramid with a base length of 8 yards, base width of 3 yards, and height of 7 yards. 2. **Formula for the volu

1. **State the problem:** Find the distance between the points $(0,4)$ and $(5,0)$ in the coordinate plane. 2. **Formula used:** The distance $d$ between two points $(x_1,y_1)$ and

1. The user mentioned "perpendicular nhi dia hai," which means "perpendicular is not given." 2. In geometry and algebra, when two lines are perpendicular, their slopes satisfy the

1. **State the problem:** Find the distance between the points $(2,5)$ and $(5,9)$.\n\n2. **Formula used:** The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ in the p

1. **State the problem:** Find the distance between the points $(2,3)$ and $(5,-5)$ in the coordinate plane. 2. **Formula used:** The distance $d$ between two points $(x_1,y_1)$ an

1. **Problem statement:** We have a roof support made of four wooden lengths: AB, AC, BC, and MC. Given:

1. Նշված է, որ $AO = OC$ և $\angle 1 = \angle 2$. 2. $AO = OC$ նշանակում է, որ $O$ կետը հատվածի $AC$ մեջտեղում է, այսինքն $O$-ն միջնակետ է։

1. Դու խնդրում ես օգնություն երկրաչափության առաջադրանքներով։ 2. Խնդրում եմ, ներկայացրու կոնկրետ առաջադրանքը, որպեսզի կարողանամ օգնել։

1. **State the problem:** We have a triangle RST with sides labeled as follows: RS = $x$, RT = $x + 50$, ST = $3x + 146$. Points P and Q lie on sides RS and RT respectively, with s

1. **Stating the problem:** We have a triangle PQR with PR = QR (isosceles triangle) and a point T on the extension of side PQ. We want to find the lengths of segments RS, TQ, and

1. Сформулюємо задачу: знайти нормальний вектор та рівняння площини, заданої рівнянням $x + 2y + 2z = 4$. 2. Формула площини у векторній формі: $Ax + By + Cz = D$, де $(A, B, C)$ —

1. Problem 15 asks: In rectangle ABCD, diagonals AC and BD intersect at O. Given \(\angle CDB = 54^\circ\), find \(\angle OAB\). 2. Important properties:

1. The problem asks to complete the congruence statement for the triangles shown in the figure. 2. Given triangles are \(\triangle YXW\) and \(\triangle ?\) with shared vertex \(W\

1. The problem asks to complete the congruence statement for the triangles in the rectangle DEFG, where \(\triangle DEG \cong \triangle ???\). 2. Given the rectangle DEFG with vert

1. The problem states that triangles \(\triangle TJM \cong \triangle PHS\). This means all corresponding angles and sides are congruent. 2. Since \(\triangle TJM \cong \triangle PH

1. **State the problem:** Given that triangles $\triangle TJM$ and $\triangle PHS$ are congruent, complete the statements about their corresponding angles and sides. 2. **Recall th

1. **State the problem:** We have a point $A(-6,3)$ and a translation rule $(x,y) \to (x+5, y-9)$. We want to find the coordinates of the image point $A'$ after applying this trans