siIviajendeukie

170 Questions
11 Answers

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Geometry

In the diagram below, we have \overline{MN}\parallel\overline{PQ}, and $PN = 24.$ Find $OP.$

siIviajendeukie Jan 4, 2025

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1

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Geometry

In rectangle $ABCD,$ $\frac{[AEP]}{[DFP]} = 5.$ Find the ratio of the area of the red region to the area of the yellow region. Enter your answer as a fraction.

siIviajendeukie Jan 4, 2025

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1

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+703

Geometry

A square is divided into five rectangles, and all the rectangles have the same area. Given that $AB = 1,$ find the side length of the square.

siIviajendeukie Jan 4, 2025

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1

+703

Geometry

Let WXYZ be a square. Let P be a point inside the square, so that triangle PWX is right isosceles. Compute \angle PYZ.

siIviajendeukie Jan 4, 2025

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1

+703

Geometry

Find the area of the region bounded by the lines y=5 and 5x+2y=10 and the coordinate axes.

siIviajendeukie Jan 1, 2025

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3

+703

Geometry

Two runners start at vertices A and B simultaneously and run clockwise around the perimeter of square ABCD at the same speed. A drone flies so that it is always at the midpoint of the two runners. What is the minimum distance between the two runners? read more ..

siIviajendeukie Jan 1, 2025

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+703

Geometry

Two points, A and B, are on the pavement 6 inches apart. Cassidy the caterpillar traces out a path walking along all the points that are equidistant to ${}A$ as from $B$. Cassidy has red paint on her feet, so she literally traces out the whole path! read more ..

siIviajendeukie Jan 1, 2025

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1

+703

Geometry

In rectangle ABCD, E is the midpoint of \overline{BC}, and $F$ is the midpoint of $\overline{CD}.$ Let $G$ be the intersection of $\overline{AE}$ and $\overline{BF}.$ Find $DG.$

siIviajendeukie Jan 1, 2025

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3

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+703

Geometry

D is on side \overline {AB} of \triangle ABC. We know $\triangle ABC \sim \triangle ACD.$ What is the length $AB?$

siIviajendeukie Dec 20, 2024

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+703

Geometry

E is a point on side \overline{CD} of square ABCD. The extensions of $\overline {AD}$ and $\overline {BE}$ intersect at $F.$ Find $DF.$

siIviajendeukie Dec 20, 2024