📐 geometry

1. The problem asks to select the correct rephrased statement for Rebecca's proof that if the diagonals in a parallelogram are perpendicular, then it is a rhombus. 2. Recall the de

1. The problem is to understand the properties of a cube. 2. A cube is a three-dimensional solid object bounded by six square faces, with three meeting at each vertex.

1. The problem asks for the minimum amount of paper Sarah will need to wrap a package that measures 46 cm. We need to clarify what "46 cm" refers to (likely the perimeter or a dime

1. The problem asks for the coordinates, but it is unclear what specific coordinates are needed (e.g., of a point, vertex, intercept, etc.). 2. To find coordinates, we typically ne

1. **Determine the volume of the L-shaped prism (1a).** The shape can be divided into two rectangular prisms.

1. **State the problem:** We need to find the area of a triangle with sides 12 mm, 8.4 mm, and 19 mm. 2. **Formula used:** Since we know all three sides, we use Heron's formula for

1. **Problem Statement:** Determine the volume of the L-shaped rectangular prism with dimensions given: one part is 16 cm height, 24 cm length, 6 cm width; the other part is 16 cm

1. **State the problem:** We have a scale drawing where 1 cm represents 2 m in real life.

1. **State the problem:** We need to find the lengths of the parallel sides of a trapezium given its area, the ratio of the parallel sides, and the perpendicular distance between t

1. **State the problem:** Reflect trapezoid CDEF over the x-axis. 2. **Vertices of trapezoid CDEF:**

1. The problem is to find the missing side lengths of four right triangles using the Pythagorean theorem. 2. The Pythagorean theorem states that in a right triangle, the square of

1. The problem asks to find the length of the missing side (hypotenuse) of the triangle labeled "b" with legs 6 cm and 6 cm. 2. We use the Pythagorean theorem for right triangles:

1. **Problem statement:** We have 6 parallel lines cut by two transversals, creating segments with some missing lengths $x$, $y$, $z$, and $w$. We need to find these missing length

1. **Problem Statement:** We are given a circle with chords AB and CD. AB is 16 units long. CD is divided into two segments labeled $x$ and $2x$. The segment between points A and C

1. **Problem Statement:** We are given a circle with center C and points A, B, D, E, F on the circle. Inside the circle, triangle ABC has an angle at A measuring 109°.

1. **Stating the problem:** We are given a polygon with sides labeled $a$, $b$, and $c$, all greater than zero. We need to determine which of the given expressions is *not* equal t

1. Problem: Find the measures of angles $\alpha$, $\beta$, $\gamma$, and $\delta$ given the values: $\alpha = 138^\circ$

1. **Problem statement:** Given a circle with chords SN and MP intersecting at Q, tangent SR at S, and angles $\angle SRP=26^\circ$, $\angle QMS=52^\circ$, $\angle PQS=76^\circ$, f

1. The problem asks us to identify which two shapes are similar. 2. Similar shapes have the same shape but may differ in size. This means their corresponding angles are equal and t

1. **Problem statement:** Given points A(0,1), B(3,4), and C(1,3), we need to show that $\cos \angle ACB = -\frac{4}{5}$ and calculate the area of triangle $\triangle ABC$. 2. **To

1. **Problem:** Find the new equation of the line after a 90° clockwise rotation about the point (-2, 3) for the line $y=2x+2$. 2. **Formula and rules:**