Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The problem provides a geometric proof. We are given that $DB$ bisects $\angle ABC$ and $\angle A \c...

Geometric ProofCongruent TrianglesAngle BisectorAngle Congruence

Given that $CA$ bisects $\angle BAD$ and $CA$ bisects $\angle BCD$, prove that $\triangle ABC \cong ...

CongruenceTrianglesAngle BisectorASA Congruence

We are given that $\overline{CA}$ bisects $\angle BAD$ and $\angle BCD$. We want to prove that $\tri...

Triangle CongruenceAngle BisectorASA CongruenceGeometric Proof

We are given that $\overline{DB}$ bisects $\angle ABC$ and $\angle A \cong \angle C$. We need to pro...

Triangle CongruenceAngle BisectorAAS Congruence

We are given that $D$ is the midpoint of $\overline{AC}$, $\angle AED \cong \angle CFD$, and $\angle...

Triangle CongruenceAAS TheoremMidpoint

The problem gives us that $\angle B \cong \angle D$ and $\overline{AD} \parallel \overline{BC}$. We ...

Triangle CongruenceParallel LinesAlternate Interior AnglesAAS Congruence Theorem

We are given that $\overline{DC}$ bisects $\angle ACB$ and $\overline{AC} \cong \overline{BC}$. We w...

CongruenceTrianglesAngle BisectorSAS Congruence

Given that $AE \cong EC$ and $BE \cong ED$, we want to prove that $AB \cong DC$. We need to determin...

CongruenceTrianglesSAS CongruenceCPCTCVertical Angles

The problem states that line segment $CA$ bisects angle $BAD$ and angle $BCD$. We need to prove that...

CongruenceTrianglesAngle BisectorASA Congruence

We are asked to prove that $GH \cong WV$ using the flowchart given and information from the provided...

Triangle CongruenceAASCPCTCGeometric Proof

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