📐 geometry

1. The problem asks to identify the two transformations that show figure ABCD is congruent to figure A'B'C'D'. 2. Given the coordinates:

1. **Problem statement:** Quadrilateral DEFG is a kite with angles at vertices E and G given as $55^\circ$ and $89^\circ$ respectively. We need to find the measure of angle $F$. 2.

1. **Problem statement:** Given kite GHJI with angles at vertices J and H as 76° and 98° respectively, find the measure of angle I. 2. **Recall kite properties:** In a kite, two pa

1. The problem is to find the missing angle in a triangle where two angles are given as 65° and 65°. 2. The sum of the interior angles in any triangle is always 180°. This is a fun

1. **Problem Statement:** We have a line segment with endpoints at $A(2,4)$ and $B(4,2)$. We want to perform a dilation on this segment and find the coordinates of the endpoints af

1. **State the problem:** Two cars start from the same point. One travels north 4 km, the other east 3 km. We want to find the straight-line distance between them. 2. **Formula use

1. **State the problem:** We have three people: Brody, Darrell, and Sandra. Darrell is directly behind Brody and directly left of Sandra. 2. **Given:**

1. **State the problem:** A hummingbird's nest is 12 meters high in a tree, and a flower is 9 meters away from the base of the tree on the ground. We need to find the distance the

1. **State the problem:** A bird is 12 feet from the base of a tree and flies 20 feet to the top of the tree. We need to find the height of the tree. 2. **Identify the right triang

1. **State the problem:** Albert's flour fills a cylindrical jar with diameter 4 inches and height 6 inches. We want to find which containers can hold the same volume of flour. 2.

1. **State the problem:** We need to find the radius $r$ of a cone given its volume $V = 150.72$ cubic millimeters and height $h = 9$ millimeters. 2. **Formula:** The volume of a c

1. **State the problem:** We are given the volume $V = 150.72$ cubic millimeters and height $h = 9$ millimeters of a cone, and we need to find its radius $r$ rounded to the nearest

1. **Problem Statement:** Given two parallel lines $p \parallel q$ cut by a transversal $r$, with $\angle s = 79^\circ$ on line $q$ and $\angle x = 101^\circ$ on line $p$. We need

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:**