📐 geometry

1. **Problem Statement:** We have an isosceles trapezoid WXYZ with line $t$ intersecting it, creating several numbered angles. Given are two angle measures: $82^\circ$ at vertex W

1. **State the problem:** We have a right triangle with one side length of 24 cm. We need to determine which pair of lengths from the options can be the other two sides of the tria

1. **State the problem:** We have a right triangle on a coordinate plane with a height of 6 units and a base with endpoints at (1, -3) and (8, -3). We need to find the length of th

1. **Problem statement:** Given rectangle STUV with angles at S and U expressed as $(x-4)^\circ$ and $(3x-22)^\circ$ respectively, find the measure of angle $\angle SUT$. 2. **Reca

1. **State the problem:** We need to find the area of an L-shaped polygon with given side lengths. 2. **Split the figure into two rectangles:**

1. **State the problem:** Find the area of the L-shaped figure given the dimensions. 2. **Break down the figure:** The figure can be divided into two rectangles:

1. **State the problem:** We need to find the area of a parallelogram with a base of 6 cm and a height of 4.5 cm. 2. **Formula for area of a parallelogram:**

1. **State the problem:** We need to find which two figures have the same area in square centimeters. 2. **Recall the area formulas:**

1. The problem asks to identify which sets of three side lengths form a right triangle. 2. Recall the Pythagorean theorem: for a right triangle with sides $a$, $b$, and hypotenuse

1. **Problem statement:** We have two circles E and F with a common tangent line AC touching circle E at C and circle F at B. Given lengths DE = 15 and FB = 7, we need to find the

1. **State the problem:** Find the distance between points $C(-9, 2)$ and $D(-7, 5)$ on the Cartesian plane. 2. **Formula used:** The distance $d$ between two points $(x_1, y_1)$ a

1. **State the problem:** Find the missing height $h$ of a triangular prism given the surface area and dimensions of the base.

1. **Problem statement:** Find the measure of angle 2 ($m\angle 2$) in the rhombus WUTV where angles at vertices V and W are each 28°. 2. **Properties of a rhombus:**

1. **Stating the problem:** We are given a rectangle and two triangles with areas 8 square meters, 4 square meters, and 4 square meters respectively. We need to find the total area

1. The problem involves finding the area of a driveway represented on a grid where each small square is 1 meter by 1 meter. 2. The driveway is composed of one large rectangle and t

1. The problem asks to draw the side elevation of a 3D stepped rectangular block starting from the point marked with a green dot at the bottom front corner of the base prism. 2. Th

1. **State the problem:** We need to find the area of triangle ABC where the right angle is at vertex A. 2. **Identify the sides:** Given that AB is vertical with length $\sqrt{3}$

1. The problem states that the sum of the angles in a triangle is 180 degrees. 2. The angles given are $32c + 5$, $24c$, and $c + 32$ degrees.

1. **Problem statement:** Find the length of diagonal $BE$ in cuboid $ABCDEFGH$ with dimensions $AB=11$ cm, $AD=6.1$ cm, and $AE=4.2$ cm. 2. **Formula:** The length of a space diag

1. The problem asks to name the angle pairs formed by two parallel lines cut by a transversal and to type the 4-letter code in ALL CAPS with no spaces. 2. Important angle pair type

1. **State the problem:** We need to find the surface area of a right circular cylinder with height $h=19$ in and diameter $d=13$ in, using $\pi=3.14$.