📐 geometry

1. **State the problem:** We have a kite-shaped quadrilateral ABCD with given angles $\angle A = 76^\circ$ and $\angle C = 100^\circ$. We need to find the measure of $\angle B$. 2.

1. **Stating the problem:** We need to determine which figure is the reflection of Figure A and identify the axis of reflection. 2. **Understanding reflection:** A reflection acros

1. The problem is to find the surface area of a three-dimensional object. 2. The formula for surface area depends on the shape. For example, for a rectangular prism, surface area $

1. **Stating the problem:** We are given a vertical capsule (obround) shape with a total height of 17 m and a width of 15 m. The shape consists of two semicircles (top and bottom)

1. **Problem:** Find the area of the shaded trapezoid with a smaller quadrilateral cutout inside. 2. **Formula:** Area of trapezoid = $$\frac{1}{2} (b_1 + b_2) h$$ where $b_1$ and

1. **Stating the problem:** We need to identify pairs of corresponding angles formed when two parallel lines $L\!M\!N$ and $O\!P\!Q$ are cut by a transversal $K\!M\!P\!R$. 2. **Und

1. **Problem Statement:** Calculate the area of the square base of a pyramid with side length 6 inches. 2. **Formula:** The area of a square is given by $$A = s^2$$ where $s$ is th

1. **State the problem:** We need to find the area of a sand mandala shaped like a circle with radius $r = 0.5$ meters. 2. **Formula:** The area $A$ of a circle is given by the for

1. **State the problem:** We need to find the area of a sand mandala shaped like a circle with radius $r = 0.5$ meters. 2. **Formula:** The area $A$ of a circle is given by the for

1. The problem asks to find the measure of the given acute angle in degrees using a protractor. 2. The angle is formed by one ray extending horizontally to the right and the other

1. **State the problem:** Find the volume of the prism given that it has the same base and height as a pyramid, and the prism's volume is 3 times the volume of the pyramid. 2. **Re

1. **State the problem:** We need to find the volume of a cone with a slant height of 16.6 yd and a base radius of 12.5 yd. 2. **Formula for the volume of a cone:**

1. **Problem Statement:** Find the missing volume $V$ of Solid #2 given the surface areas and volume of Solid #1 and the surface area of Solid #2.

1. **State the problem:** We have an isosceles triangle with base $8$ mi, height $6.7$ mi, and two equal sides $7.8$ mi each. Inside it, a circle is inscribed with radius $4.6$ mi.

1. **State the problem:** We need to find the area of the base and the volume of two cylinders. 2. **Formula for the area of the base of a cylinder:** The base is a circle, so its

1. Gegeven: lijnen $a \parallel b$ en driehoek $\triangle AEB$ met tophoek $\hat{E}$ en bissectrice $e$ van hoek $\hat{CÂB}$. 2. Omdat $a \parallel b$ en $e$ de bissectrice is van

1. **State the problem:** We are given two parallel lines connected by two slanted segments forming a triangle-like shape with angles 100°, $x^\circ$, and 45°. We need to find the

1. **State the problem:** We have points A(1, -2) and B on a circle with center P. M(3, 1) is the midpoint of AB. Line l passes through M and P. We need to find: (a) The slope of l

1. **State the problem:** We have two similar triangles, and we need to find the missing side length $x$ using proportions. 2. **Recall the rule for similar triangles:** Correspond

1. **Stating the problem:** We have a square of side length 4 meters. Inside the square, a vertical line divides it into two equal parts (each 2 meters wide).

1. **Problem statement:** We have a colored cube with six faces each a different color: red, yellow, green, blue, black, and white. 2. **Question a:** Which color is opposite the r