All Questions ⁺⁰237749 Questions

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+858

Geometry

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

cooIcooIcooI17 Dec 5, 2025

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+858

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

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+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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+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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+987

Geometry

The centroid of triangle ABC is G. Find BG.

booboo44 Dec 5, 2025

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+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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+987

Geometry

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

booboo44 Dec 5, 2025

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+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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+224

Geometry

I is the incenter of triangle ABC. Find DE.

BRAlNBOLT Dec 3, 2025

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+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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+295

Geometry

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

CInsbstnkng Dec 3, 2025

Dec 2, 2025

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+295

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

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+295

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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+295

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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+295

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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+295

Geometry

In rectangle ABCD, corner A is folded over crease DE to point F on BC. Find BC.

CInsbstnkng Dec 2, 2025

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+295

Geometry

If ST = 2, QS = 4, and PT = 5, find PQ.

CInsbstnkng Dec 2, 2025

Dec 1, 2025

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+1301

Geometry

Find length BC
AB = 13, AP = 12, BAC = 2*BPC, AC \perp BD

AnswerscorrectIy Dec 1, 2025

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+1301

Geometry

In the diagram, AB is parallel to CD. Select the two products of lengths that must be equal.
AO \cdot BO
BO \cdot CE
CO \cdot AB read more ..

AnswerscorrectIy Dec 1, 2025

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+1301

Geometry

Find the perimeter of triangle XYZ.
YZ = 10, YP = 6, XQ = 4, XP = 8, PQ = 7

AnswerscorrectIy Dec 1, 2025

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+1301

Geometry

Which of the following conditions ensures that triangles ABC and DEF are similar? Select all that apply.
(1) A = B, D = C, F = E, B = A, AB/AD = BC/BE
(2) A = D, AB/EF = BC/DE
(3) AB perp CD, DE perp AE, AB = DE read more ..

AnswerscorrectIy Dec 1, 2025

Nov 27, 2025

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+987

Geometry

In the diagram, ABCD is a rectangle, and BEFG is a square. Find AD.

booboo44 Nov 27, 2025

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+987

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.

booboo44 Nov 27, 2025

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+987

Geometry

In triangle ABC, AB = AC. Find angle BAC in degrees.
AD = 5
DE = 7
BE = 3 read more ..

booboo44 Nov 27, 2025

Nov 26, 2025

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+987

Geometry

Find AE
BE = 30, PE = 18, CP = 10

booboo44 Nov 26, 2025

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+987

Geometry

A straight line \ell divides a triangle \Delta into two congruent triangles. Select all the statements that must be true.
(a) If Delta is isoceles, then it is equilateral
(b) If Delta is right, then it is equilateral
(c) read more ..

booboo44 Nov 26, 2025

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+1761

Geometry

Triangles RST and XYZ are congruent. Point P lies on ST, and point W lies on XY. Select all the true statements.
(a) If RST is isosceles, then XYZ is isosceles.
(b) If ST = 6, then WY = 6
(c) If RP \perp ST, read more ..

parmen Nov 26, 2025

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+1761

Geometry

In the diagram, AD bisects BAC.
By adding one more condition, we can prove that triangles ABD and ACD are congruent. Which one of the following could be that condition? Select all that apply.
(a) BC read more ..

parmen Nov 26, 2025

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+1761

Geometry

Select the two triangles that must be congruent.
ABC
DEF
GHI read more ..

parmen Nov 26, 2025

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+1761

Geometry

FInd the value of x
Triangle with angles 50, 75, x

parmen Nov 26, 2025

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+1761

Geometry

Find angle x, in degrees.
the angles of a triangle are x, 80, and 88.
Note: We say that a line bisects an angle if it splits it into two equal parts.

parmen Nov 26, 2025

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+1761

Geometry

In pentagon ABCDE, \overline{AC} bisects \angle BCE and \overline{AD} bisects \angle CDA. If \angle CBD = 37^\circ and \angle CED = \angle ABC + 33^\circ, then find \angle BED, in degrees.

parmen Nov 26, 2025

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+1761

Geometry

In the diagram, \overline{BE} bisects \angle ABC, and \overline{CE} bisects \angle ACD. Compute \angle BAC, in degrees.

parmen Nov 26, 2025

Nov 25, 2025

Nov 24, 2025

Nov 19, 2025

Nov 18, 2025

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