📐 geometry

1. **State the problem:** Complete the proof that $\angle V \cong \angle TWX$.\n\n2. **Given:** $\overline{TW} \parallel \overline{UV}$ and $\angle WTX \cong \angle U$.\n\n3. **Ste

1. **State the problem:** We are given that line $FH \parallel QS$ and line $TV \parallel FH$. We need to prove that $\angle PRS \cong \angle TUW$. 2. **Given statements:**

1. **Problem 4: Identify three collinear points.** Collinear points lie on the same straight line.

1. **State the problem:** We are given four angles around point $B$ formed by two intersecting lines and a diagonal line. The angles are $75^\circ$, $(2x - 5)^\circ$, $y^\circ$, an

1. **State the problem:** We are given three angles around point B formed by two intersecting lines: $75^\circ$, $(2x - 5)^\circ$, and $y^\circ$. We need to find $x$, $y$, and the

1. **State the problem:** We need to find the exact surface area of a cylindrical sector with radius $6$ cm, central angle $240^\circ$, and height $10$ cm.

1. **State the problem:** We need to find the total surface area of a frustum of a cone with given dimensions: top diameter $12$ cm, bottom diameter $36$ cm, slant height $30$ cm,

1. **Problem Statement:** Understand what a unit circle is. 2. **Definition:** A unit circle is a circle with a radius of exactly $1$ unit.

1. **State the problem:** We need to find the length of side $AC$ in triangle $ABC$ where $AB = 2\sqrt{3}$, $\angle A = 15^\circ$, and $\angle B = 45^\circ$. 2. **Find the missing

1. **State the problem:** Determine if triangles △BCD and △KLB are similar, and if so, identify the similarity criterion and complete the similarity statement. 2. **Given informati

1. The problem asks to name the figure shown, which is a line passing through points $C$, $Y$, and $B$. 2. A line passing through three points can be named by any two of those poin

1. The problem asks us to name the figure shown, which is a ray with endpoint $V$ passing through points $H$ and $J$, extending downward-right. 2. A ray is named by its endpoint fo

1. **State the problem:** We need to find the measure of $\angle BEF$ given the angles around points $B$ and $E$ with expressions involving $x$ and $y$. 2. **Analyze the angles at

1. **State the problem:** We need to find the measure of $\angle ABC$ given the angles around point $B$ formed by intersecting lines. 2. **Analyze the figure and given angles:** Th

1. **State the problem:** We need to find which point on the line segment $KL$ is closest to the point $M$. 2. **Identify points:** Given points are $K(-10,-1)$, $L(6,-5)$, and $M(

1. **State the problem:** We want to find which point among $(2,-4)$, $(4,2)$, $(3,-1)$, and $(1,-7)$ on the line segment $DE$ is the shortest distance from point $F(-8,2)$. 2. **F

1. The problem asks to complete the statement: "If two lines form ___ interior angles on the same side of the transversal, then the lines are parallel." 2. This is a geometry probl

1. The problem asks to complete the sentence about interior angles on the same side of a transversal cutting parallel lines. 2. Recall the rule: When a transversal cuts two paralle

1. **State the problem:** We need to find the volume of a triangular prism with a triangular base having base $9$ cm and height $6$ cm, and the prism's length (height of the prism)

1. **State the problem:** We need to find the volume of a triangular prism with a triangular cross-section base of $2.4$ m, height $1.9$ m, and prism length $3$ m. 2. **Formula for

1. **State the problem:** We are given two similar triangles, ΔA'B'C' (larger) and ΔABC (smaller), where ΔA'B'C' is the image of ΔABC under a dilation. We need to find the scale fa