📐 geometry

1. The problem asks to determine which figures are quadrilaterals and to evaluate statements about a given figure. 2. A quadrilateral is a polygon with exactly four sides.

1. **State the problem:** We need to find the volume of a rectangular prism with dimensions 1.6 inches (height), 3 inches (width), and 2 inches (length). 2. **Formula for volume of

1. **State the problem:** Determine which pizza is the better buy by comparing the unit price per square inch for each pizza. 2. **Formula for area of a circle:**

1. **State the problem:** We need to find the value of $x$ given the angles around point $F$ where lines intersect. 2. **Analyze the figure and given information:**

1. **State the problem:** Find the area of the given irregular polygon with labeled side lengths in millimeters. 2. **Approach:** We can divide the polygon into simpler shapes (rec

1. **State the problem:** Find the area of the composite polygon with given side lengths. 2. **Analyze the figure:** The shape consists of a stepped left side with vertical segment

1. The problem asks: What are perpendicular lines and can we draw them? 2. Perpendicular lines are two lines that intersect at a right angle, which means they meet at an angle of 9

1. **State the problem:** Find the volume of a prism with base edges 7 cm and 10 cm, and a height $h$.

1. **Problem Statement:** Find the area of the composite figure consisting of a rectangle and a triangle on its right side. 2. **Formulae and Rules:**

1. The problem asks to find the angle in degrees of the shaded portion of a circle divided into 10 equal sectors, with 7 sectors shaded. 2. Each sector of the circle represents an

1. **State the problem:** We need to find the angle in degrees of the shaded portion of a circle divided into 10 equal sectors, with 7 sectors shaded. 2. **Formula and rules:** The

1. **State the problem:** Determine whether each statement about distances between points on a coordinate plane is true or false. 2. **Recall the distance formula for points on hor

1. **State the problem:** Determine if the park is 5 miles from the deli on the coordinate plane. 2. **Identify coordinates:** The deli is at $(-4, 2)$ and the park is at $(-4, -4)

1. **State the problem:** We need to find the total distance Adela walks from her home to the restaurant and then from the restaurant to the concert. 2. **Identify coordinates:**

1. **State the problem:** We have a right triangle with one angle measuring $57^\circ$ and another angle measuring $x^\circ$. We need to find the value of $x$. 2. **Recall the tria

1. **State the problem:** We have two intersecting lines forming four angles. One angle is given as 50° (bottom-left). We need to find the measures of the missing angles $b$ (top-r

1. **Problem statement:** Calculate the capacity of the chocolate filling inside the solid, which consists of a rectangular prism with a triangular prism on top. 2. **Understanding

1. **State the problem:** Calculate the total surface area of the chocolate painted object, which consists of a closed cylinder with an open hemisphere inside its top.

1. **State the problem:** We are given two similar triangles \(\triangle CGR \sim \triangle SDA\) with side lengths expressed as \(AD = -2x - 8\), \(GR = 6\), \(CR = 12\), and \(AS

1. **State the problem:** We are given two similar triangles \(\triangle AFP \sim \triangle HDG\) with side lengths \(AP = 15\), \(FP = 11\), \(DG = -8x - 7\), and \(GH = -6x + 4\)

1. Problem: Draw a line parallel to a given line so you can see what “parallel” means. 2. Key idea (parallel lines): Parallel lines have the same direction, so their slopes are equ