All Questions ⁺⁰237755 Questions

Dec 8, 2025

-1

1

3

+310

Geometry

ABCD is a parallelogram. Find DG.

CInsbstnkng Dec 8, 2025

0

1

1

+310

Geometry

In trapezoid PQRS, Base PQ is parallel to base RS. Let point X be the intersection of diagonals PR and QS. The area of triangle PQR is 4 and the area of triangle QRX is 4. Find the area of trapezoid PQRS

CInsbstnkng Dec 8, 2025

0

1

1

+310

Geometry

In trapezoid ABCD, \overline{AB} \parallel \overline{CD}. Find the area of the trapezoid.

CInsbstnkng Dec 8, 2025

0

1

1

+310

Geometry

Let WXYZ be a trapezoid with bases \overline{XY} and \overline{WZ}. In this trapezoid, \angle XWZ = 81, angle WXY = 62, and angle ZYW = 137. Find \angle YWZ, in degrees.

CInsbstnkng Dec 8, 2025

Dec 5, 2025

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2

+857

Geometry

The centroid of triangle ABC is G. Find x, in degrees.

cooIcooIcooI17 Dec 5, 2025

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1

+857

Geometry

Points $M$, $N$, and $O$ are the midpoints of sides $\overline{KL}$, $\overline{LJ}$, and $\overline{JK}$, respectively, of triangle $JKL$. Points $P$, $Q$, and $R$ are the midpoints of $\overline{NO}$, $\overline{OM}$, and $\overline{MN}$, respectively. read more ..

cooIcooIcooI17 Dec 5, 2025

0

1

1

+987

Geometry

In triangle ABC, M is the midpoint of \overline{BC}, E is the midpoint of \overline{AB}, and D is the midpoint of \overline{AM}. Point T is the intersection of \overline{BD} and \overline{ME}. Find the area of triangle XYZ if [ABC] = read more ..

booboo44 Dec 5, 2025

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1

1

+987

Geometry

In triangle ABC, the orthocenter H lies on altitude \overline{AD}. Find \frac{AH}{HD}.

booboo44 Dec 5, 2025

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1

1

+987

Geometry

The centroid of triangle ABC is G. Find BG.

booboo44 Dec 5, 2025

0

1

1

+987

Geometry

In triangle ABC, \angle A = 90^\circ. Altitude $\overline{AP},$ angle bisector $\overline{AQ},$ and median $\overline{AR}$ are drawn. If $PQ = 3$ and $QC = 4,$ find $AR.$

booboo44 Dec 5, 2025

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1

1

+987

Geometry

The incircle of triangle ABC is shown. Find x, in degrees.

booboo44 Dec 5, 2025

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1

1

+987

Geometry

Find the area of triangle ABC if AH=6, AQ=4, and CQ=11 in the diagram below.

booboo44 Dec 5, 2025

Dec 3, 2025

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2

+224

Geometry

I is the incenter of triangle ABC. Find DE.

BRAlNBOLT Dec 3, 2025

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2

+224

Geometry

Find the ratio of the area of the red region to the area of the yellow region. Enter your answer as a fraction.

BRAlNBOLT Dec 3, 2025

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1

2

+310

Geometry

Triangle ABC has circumcenter O. What is \angle AOC, in degrees?

CInsbstnkng Dec 3, 2025

Dec 2, 2025

0

1

1

+310

Geometry

Let XYZ be a triangle, and let XP, XQ, XR be the altitude, angle bisector, and median from X, respectively. If angle YQZ = 90^\circ and angle ZQX = 22^\circ, then what is the measure of angle RZP in degrees?

CInsbstnkng Dec 2, 2025

0

1

1

+310

Geometry

Find the side length of the equilateral triangle.
AB = 1, CP = 4, PQ = 5, DA = 3, EP = 2

CInsbstnkng Dec 2, 2025

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1

1

+310

Geometry

In the diagram, ABCD is a square with side length 2, and BEF is an equilateral triangle with side length 3. Find DF.

CInsbstnkng Dec 2, 2025

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1

1

+310

Geometry

In the diagram, ABCD and AEFG are squares with side length 1. Find the area of the green region.

CInsbstnkng Dec 2, 2025

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