📐 geometry

1. **Problem Statement:** We have a right triangle $VXY$ with a right angle at $V$. Points $W$ and $Z$ are midpoints of segments $VX$ and $VY$ respectively. Given that $WZ = 10$, w

1. **State the problem:** We have a large right triangle VYX and a smaller triangle WZX inside it. W is the midpoint of VX, and Z is the midpoint of VY. Given that the length WZ =

1. **Problem statement:** Given triangle $\triangle UVX$ with $TW$ as a midsegment parallel to side $UX$, and $UV = 54$, find the length of $TW$. 2. **Key property:** A midsegment

1. **State the problem:** We are given triangle $\triangle QST$ with $RU$ as a midsegment. We know the length of side $ST = 8$, and we need to find the length of the midsegment $RU

1. **Problem statement:** Given triangle $PRS$ with $QT$ as the midsegment parallel to side $RS$, and $QT = 19$, find the length of $RS$. 2. **Formula and rule:** The midsegment th

1. **Problem Statement:** Given that SU is a midsegment of triangle \(\triangle RTV\) and \(RV = 10\), find the length of \(SU\). 2. **Key Concept:** A midsegment in a triangle con

1. **Problem Statement:** Given triangle RQT, S is the midpoint of segment RT, and U is the midpoint of segment QT. If the length of QR is 92, find the length of segment SU.

1. The problem asks to identify the term that describes the segment HJ in triangle HIG, given that it splits the angle at vertex H into two angles of 39° and 36°. 2. Important defi

1. The problem asks to identify the term that describes the segment $UW$ in triangle $VUT$ with point $W$ on side $VT$. 2. Definitions:

1. The problem states that \overline{UV} \cong \overline{VW}, meaning segments UV and VW are congruent. 2. We are asked to identify the term that describes \overline{XV} given the

1. The problem asks to identify the term that describes the segment VX in triangle UVW with point X inside such that angles UVX and WVX are both 32°. 2. Given that angles UVX and W

1. The problem states that \(\angle CED\) is a right angle, meaning it measures 90 degrees. 2. We are asked to identify which term describes segment \(CE\) given this information.

1. The problem asks to identify the term that describes segment WU in triangle WVT given the angles at vertex W. 2. Definitions:

1. **Problem Statement:** We are asked to identify the term that describes the line segment $\overline{SV}$ in the given polygon with vertices $R, V, U, S, T$. The polygon has a ri

1. The problem asks to identify the term that describes segment WY in triangle VUX with a right angle at W. 2. Given that WY is drawn from vertex W perpendicular to side UX, it for

1. **Problem Statement:** Given triangle with points P, T, Q, and S, where \(\angle PTQ\) is a right angle and segments \(ST \cong PT\). We need to identify which term best describ

1. The problem states that \(\angle HKI\) is a right angle, meaning it measures 90 degrees. 2. We are asked to identify which term describes the segment \(IK\) in the triangle with

1. The problem asks to identify which term describes the segment TR in the given triangle. 2. Let's define the terms:

1. The problem asks to identify the term that describes the line segment EG in the given triangle with vertices F, G, H, and E. 2. Let's review the definitions:

1. The problem asks to identify which term describes the line segment FH in the given geometric figure. 2. The options are median, perpendicular bisector, angle bisector, or none o

1. **Stating the problem:** We have a triangle VWY with point X on segment WY. The segment VX is drawn from vertex V to point X on the base WY. 2. **Given information:** The angles