`Geometry Worksheet Congruent Triangles #3 Complete the proofs.Name:A 1. Given: AE CB , AB CD , and B is the midpoint of ED E Prove: AEB CBD BCD(Hint: Draw the information on the picture as you know it.) statements 1. AE CB , AB CD , and B is the midpoint of ED 2. EB 3. AEBDB. 1.reasons.2. CBD 3.A 2. Given: AB BE , DE BE , AC and &lt;BAC &lt;EDC Prove: ABC DEC .DC ,DC ,DB C reasons 1.Estatements 1. AB BE , DE BE , AC and &lt;BAC &lt;EDC 2. &lt;B and &lt;E are right angles 3. &lt;B 4. &lt;E DEC.2. 3. 4.ABC(over)G 3. Given: GK Prove: GKM statements 1. GK 2. MK 3. GKMML , &lt;GKMKML , &lt;GKM&lt;LMKLMK M . &lt;LMK 1. 2. 3. reasons L .MKLMKS4.Given: &lt;S Prove:&lt;R and XT bisects &lt;SXR RXTTXSXTR statements 1. &lt;S &lt;R and XT bisects &lt;SXR &lt;RXTXT. 1. 2. 3. 4.reasons.2. &lt;SXT 3. XT 4. SXTRXTT 5. Given: FT Prove: FTSFR and ST SRF FRSS Rstatements 1. FT 2. 3.FR and ST SR. 1.reasons.2. Reflexive Property 3.M 6. Given: H is the midpoint of MK and QD Prove: QMH statements 1. 2. MH 3. &lt;MHQ 4.KH and QH DHDDKH Q . 1. Given 2. 3. 4.H K reasons .&lt;KHDS7.Given: SQ bisects &lt;PSR and &lt;P Prove: SQP SQR&lt;R P . Q reasons 1. 2. Definition of bisect 3. Reflexive Property R .statements 1. SQ bisects &lt;PSR and &lt;P 2. 3. 4. SQP SQR &lt;R4.8.Given: RT bisects &lt;QRS, &lt;1 Prove: RTQ RTS&lt;2statements 1. RT bisects &lt;QRS, &lt;1 2. &lt;QRT 3. RT 4. RTQ &lt;SRTRT. &lt;2 1. 2. 3. 4.reasons.RTS(over)T A 9. Given: TP Prove: ATPAS , AP SPSSTP . 1. 2. 3. 4. P reasons .statements 1. TPAS , AP SP2. &lt;ATP and &lt;STP are right angles 3. ATP and STP are right trianglesTP4. TP 5. ATPSTP5.BE10.Given: BR and EV bisect each other Prove: BAE RAV V statements . 1. GivenRA and EAVAAR reasons.1. 2. BA 3. &lt;BAE 4. BAE2. 3. 4.&lt;RAV RAV11.Given: &lt;2 Prove: ABC, &lt;1&lt;4CDA . 1. 2. 3. reasons .statements 1. &lt;2 2. 3. , &lt;1 &lt;412.Given: &lt;D and &lt;B are right angles, AD Prove: ABC CDA .CBstatements 1. &lt;D and &lt;B are right angles, ADreasons 1. 2. 3..CB2. ABC and CDA are right triangles 3. 4. ABC CDA4.`

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