Directions: Observe and notice the congruent sides and congruent angles shown in the illustration below. Write the reasons for the statements in the two- column proof. T Given: ATEM Prove: ET+EM > TM M Proof: Statements Reasons 1. ES = ET 2. ATSE is isosceles triangle. 3. LETS LTSE. 4. LTSELTSM. 5. LETS LTSM. 6. m/STM = m/STE + mLETM. 7. m/STM = m/TSM +mZETM. 8. m/STM>mTM). 10. ES+EM ISM. 11. ES+EM>TM 12. ET+EM>TM. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.

Q: Examine the following argument showing that the sum of the measures of the angles in any triangle is…

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Q: The proof below may or may not be correct. If the proof is incorrect, determine the first step…

A: step 6 is not correct.see below the answer and explanation

Q: e a two-column proof. 24. Given: ZP ZT, ZS ZQ TR= PR, RP=RQ, RTRS PQ = TS Prove: ΔPRQ = ΔTRS P. R T

A: The given data is: ∠P≅∠T∠S≅∠QTR¯≅PR¯RP¯≅RQ¯RT¯≅RS¯PQ¯≅TS¯  To prove: ∆PRQ≅∆TRS

Q: What is the value of u? B C U= 19 Submit 22 Not feeli Work it out ready vet? These can hel

A: To determine the value of u.

Q: 5. The shape shown below is made up of 8 equilateral triangles. Let TQ = u and SQ = v. T ū Write an…

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Q: 7. Given: LF = KF; LA = KA Prove: LJ = KJ a. List the key steps of a proof. b. Write a proof in…

A: We are given a figure where LF≅KF and LA≅KA. We have to prove LJ≅KJ

Q: Complete the proof by filling in the missing statements and reasons. * Given: A • Quadrilateral FAIR…

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Q: based on the diagram below? (Diagram is not to scale.) R S RS is a perpendicular bisector. RS is an…

A: Note : in the triangle, angle P = 90°  &, RS bisects the angle R.

Q: Write two different expressions that could you -1 and 9. Evaluate each expression.

A: We can calculate distance between two points on number line bi by just calculating the points by the…

Q: Proving the Sum of the Interior Angle Measures of a Triangle Is 180 Given: y || z Prove m5 + m/2 +…

A: Given :- y ∥ z To Prove :- m∠5 +m∠2 +m∠6 =180°

Q: Write a two-column or a paragraph proof. 7. Given: MQ = PQ M Z1 = L2 Prove: MN = PO Statements…

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Q: based on the diagram below? (Diagram is not to scale.) K J L I

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Q: Jentiais of Geometry FE Par.. Proof Post Attendoe- Zoom Given: AC EC and BC DC Prove: AACB = AECD…

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Q: State whether the triangles are simllar. If so, write a slmlarity statement and the postulate or…

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Q: Square ABCD is shown below. B Square ABCD is reflected about side BC. Which of the following…

A: Here the square ABCD is reflecting about the side BC. the reflection image can be represented as…

Q: Tennis balls are often packed in cyindrical canisters. The diagram below shows three balls in a…

A: The question mentions that the balls fit snugly in the canister. Thus, the diameter of the ball is…

Q: Given: AC and BD bisect each other. Prove: BC AD. Note: quadrilateral properties are not permitted…

A: Given bisect each other Given figure

Q: Examine the Proof below line by line. Determine if there are any errors. Proof: Label r, as shown in…

A: We have the following diagram We have given statement as 1)  m∠x+m∠y+m∠w=180°2)  m∠w+m∠z=180°3)…

Q: Use the figure at the right to answer questions #4 - 7. A 5. What angle is included between side WV…

A: Consider the triangle

Q: Part A Which statement is missing from step 4 of the proof above? A. KRV ~ KVR B. SVT ~ RPQ C.…

A: Que: Part A Which statement is missing from step 4 of the proof above?   A. KRV ~ KVR   B. SVT ~ RPQ…

Q: Reorder the steps of the proof to make sure that steps that are logically dependent on prior steps…

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Q: RIANGLE SIMILARITY Triangle Angle-Bisector Theorem If a segment bisects an angle of a triangle, then…

A: Here we have, In HD is ang;e bisector of ∠AHE⇒∠1=∠2 Prove:- DADE=AHEH