📐 geometry

1. **State the problem:** We need to find the area of a parallelogram with base $8.4$ cm and height $5.2$ cm. 2. **Formula:** The area $A$ of a parallelogram is given by the formul

1. **State the problem:** We are given three vertices of a rectangle: $A(-1,4)$, $B(2,4)$, and $C(-1,-2)$. We need to find the coordinates of the fourth vertex $D$. 2. **Recall the

1. **State the problem:** We need to find the distance between the points $(-6, -4)$ and $(-6, 18)$. 2. **Formula used:** The distance $d$ between two points $(x_1, y_1)$ and $(x_2

1. **State the problem:** We need to find the area of a kite given the lengths of its diagonals. 2. **Formula for the area of a kite:** The area $A$ of a kite is given by

1. **State the problem:** We need to find the area of a kite given the lengths of its diagonals. 2. **Recall the formula for the area of a kite:**

1. **State the problem:** We have a circle with center $O$ and points $A$ and $C$ on the circumference. Line $BC$ is tangent to the circle at point $C$. Given that $\angle CAB = 29

1. **Problem:** Given a circle with center $O$, $\angle OAB = 40^\circ$, and $C$ is a point on the circle, find $\angle ACB$. 2. **Formula and Rule:** The angle subtended by a chor

1. **State the problem:** We need to find the measures of the two marked angles given by $(x+5)^\circ$ and $(9x-25)^\circ$ where the lines are parallel and cut by a transversal. 2.

1. **Problem statement:** Rectangle $Q$ has an area of $2$ square units. Thea drew a scaled version of Rectangle $Q$ and labeled it Rectangle $R$. We want the scale factor from Rec

1. **State the problem:** We need to find the measures of angles \(a\), \(b\), \(c + d\), \(e\), and \(2c + 3f\) in degrees based on the given figure with lines and angles. 2. **Gi

1. **State the problem:** We need to find the measure of angle $m\angle YCD$ given that $m\angle YCD = x + 58$, $m\angle BCY = x + 31$, and $m\angle BCD = 83\degree$. 2. **Understa

1. **State the problem:** We have a scale drawing where the scale is $$6 \text{ in.} : 30 \text{ yd}$$ and the east side length in the drawing is $$2 \text{ in.}$$. 2. **Understand

1. **State the problem:** We have a scale of $1$ inch representing $3$ feet. The blueprint shows a square room with side length $5$ inches and area $25$ in². We need to find the ac

1. **Problem Statement:** Calculate the surface area of each triangular pyramid given the base edges and slant heights. 2. **Formula:** The surface area $SA$ of a triangular pyrami

1. The problem asks for the formula to find the area of a triangle. 2. The area of a triangle is given by the formula:

1. **State the problem:** We have a scale drawing of a trampoline with width $w = 5$ inches and length $l = 8$ inches.

1. **State the problem:** We have a scale drawing of a trampoline with width $w = 5$ inches and length $l = 8$ inches.

1. **State the problem:** We have a scale drawing of a trampoline with width $w = 5$ inches and length $l = 8$ inches.

1. **State the problem:** We have a scale drawing of a trampoline with length $4$ inches and width $2$ inches. The scale is $1$ inch : $3$ feet. We want to find the actual length,

1. **State the problem:** We have a scale drawing of a trampoline with length $l = 4$ inches and width $w = 2$ inches. The scale is $1$ inch : $3$ feet. We want to find the actual

1. **State the problem:** We have a scale drawing of a trampoline with lengths given in inches, and a scale that relates inches in the drawing to feet in real life.