📐 geometry

1. The problem states that the shaded area is a right triangle inside a square, and its area is 11 m². 2. The diagonal of the square divides it into two congruent right triangles,

1. **Complete the sentences:** 1.1 A parallelogram can be defined as a quadrilateral with both pairs of opposite sides parallel.

1. Problem: Find the height of a cone with radius 6 cm and volume 301.44 cm³. The volume formula for a cone is $$V=\frac{1}{3}\pi r^2 h$$.

1. The problem asks for the new coordinates of the point $(2,3)$ after a transformation or change, but the specific transformation is not given. 2. To find the new coordinates, we

1. State the problem: Prepare a 20-question worksheet on circles for grade 10. 2. Understand the requirements: Questions should carry marks 1, 2, 3, 4, 5.

1. **State the problem:** Given triangle $\triangle PQR$ with vertices $P(1,3)$, $Q(4,1)$, and $R(6,y)$, and $RQ \perp PQ$, solve the following: 2.1 Find the gradient of $PQ$.

1. **Stating the problem:** We have a wooden hanging bookshelf shaped like a house. The top part is a triangle with height 12 cm and side lengths 35 cm. Below it are two rectangula

1. **State the problem:** We have a right-angled triangle with base length $x$ cm and height $(x - 1)$ cm. The area is given as 15 cm$^2$. 2. **Recall the formula for the area of a

1. **State the problem:** We have a figure made from intersecting semicircles each with diameter $\frac{1}{2}$. We need to find the exact area of the shaded portion formed by these

1. **State the problem:** We have two congruent circles with centers $P$ and $Q$. Points $R$, $P$, $Q$, and $S$ lie on a horizontal line such that $RP = QS = 1$. The circles inters

1. Problem: We are given the formula for the area of a parallelogram as $$A = g \cdot h$$, where $A$ is the area, $g$ is the base, and $h$ is the height. 2. We want to express the

1. The problem states that the shape has vertices with values 2 (top-left), 1 (top-right), and 3 (bottom-right), and the equation given is $S_3 = 24$. 2. We interpret $S_3$ as the

1. **Problem statement:** We have a circle with center O and a quadrilateral inscribed in it. We know one angle on the circumference is 25°. We need to find the values of the lette

1. **Problem 2.1:** Prove that when two triangles have their sides in proportion, they are equiangular. 2. **Step 1:** Suppose triangles $\triangle ABC$ and $\triangle STU$ have si

1. **Problem Statement:** Complete the table about Van Hiele levels of geometric knowledge and understanding, state differences between inductive and deductive reasoning in Geometr

1. The problem states that there are 3 triangles. 2. To analyze or solve any problem involving these triangles, we need more information such as their dimensions, angles, or relati

1. The problem is to calculate the total area of the three shapes formed on the grid. 2. The two small right triangles at the top left and top right corners each occupy a 2x2 squar

1. The problem is to calculate the total area of the composite shape formed by a right triangle and two squares arranged in a stepped pattern. 2. Identify the dimensions of each sh

1. **Stating the problem:** We need to find the volume of concrete required for a slab with thickness 7 cm (0.07 m) and the given stepped rectangular shape with dimensions as descr

1. **State the problem:** We are given the endpoints of the diameter of a circle as $(-23, 15)$ and $(1, -55)$. We need to find the equation of the circle. 2. **Find the center of

1. The problem asks to reflect a right-angled triangle with vertices A, B, and C across a diagonal line passing from bottom-left to top-right on a coordinate grid. 2. This diagonal