All Questions ⁺⁰237827 Questions

Dec 18, 2025

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+1837

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?

blackpanther Dec 18, 2025

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1

+1837

Geometry

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

blackpanther Dec 18, 2025

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1

+1837

Geometry

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

blackpanther Dec 18, 2025

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2

+1837

Geometry

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

blackpanther Dec 18, 2025

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+202

Geometry

Shown below is rectangle $EFGH$. Its diagonals meet at $Y$. Let $X$ be the foot if an altitude is dropped from $E$ to $\overline{FH}$. If $FY = 24$ and $HX = 28$ and $EF = 10$, find the perimeter of rectangle $EFGH$.

HumanBemg Dec 18, 2025

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+202

Geometry

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

HumanBemg Dec 18, 2025

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+202

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.

HumanBemg Dec 18, 2025

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1

+1317

Geometry

ABCD is a square. Find AM.

AnswerscorrectIy Dec 18, 2025

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1

+1317

Geometry

Trapezoid ABCD has bases AB and CD. Line segment EF, which is parallel to the bases, divides trapezoid ABCD into two trapezoids of equal perimeter. If AM = 10, and BN = 5, find the length EF.

AnswerscorrectIy Dec 18, 2025

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1

+1317

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.

AnswerscorrectIy Dec 18, 2025

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1

+1317

Geometry

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

AnswerscorrectIy Dec 18, 2025

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1

+33

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 ..

co1inqiu Dec 18, 2025

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+33

Geometry

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

co1inqiu Dec 18, 2025

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+33

Geometry

What kind of quadrilateral has the property that both pairs of opposite sides are parallel? Select all that apply.
What kind of quadrilateral has the property that all four sides are equal in length? Select all that apply.
What read more ..

co1inqiu Dec 18, 2025

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+125

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 ..

BlackoutMiIkshake Dec 18, 2025

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+125

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 ..

BlackoutMiIkshake Dec 18, 2025

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+125

Geometry

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

BlackoutMiIkshake Dec 18, 2025

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+125

Geometry

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

BlackoutMiIkshake Dec 18, 2025

Dec 17, 2025

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+507

Geometry

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

bIueb3rry Dec 17, 2025

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+507

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 ..

bIueb3rry Dec 17, 2025

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+1011

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] = 14. read more ..

gnistory Dec 17, 2025

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+1011

Geometry

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

gnistory Dec 17, 2025

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+1011

Geometry

The centroid of triangle ABC is G. Find BG.

gnistory Dec 17, 2025

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1

+1011

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 $AR.$

gnistory Dec 17, 2025

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+616

Geometry

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

onyuIee Dec 17, 2025

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