16. FM and ĀE are thediagonals of the rhombusMORE. Which statement andits corresponding reason willcomplete the proof? *PROPERTY OFRHOMBUSSTATEMENTSREASONSDetaTHEOREMTheg f pA. 5. AFES = AMES | 5. SASCongruence TheoremB. 5. AFES = AMES | 5. LL RightTriangle Congruence TheoremC. 5. AFES = AMES | 5. ASACongruence TheoremD. 5. AFES = AMES | 5. SSSCongruence Theorem

Answered: Image /qna-images/answer/cb9d1040-3e74-42f6-96f8-0a300c544248.jpg

Answered: its corresponding reason will complete…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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n the image of the two right triangles shown, ∠D≅∠F and DG_≅FE_. Match each statement to its correct reason in the two-column proof for the right triangles
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[Geometry] How do you solve 9.2?
Example 3 Choosing a Congruence Postulate to Use Decide whether enough information is given in the diagram to prove that AWYZ = AZXW. If there is enough information, state the congruence postulate you would use. W Solution Paragraph Proof The marks on the diagram show that By the Alternate Interior Angles . By the Reflexive Property of and Postulate, Congruence, angle of AWYZ are congruent to the corresponding two sides and included angle of AZXW, you can use the Because two sides and the included to prove that the triangles are congruent.
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18. Pentagonal numbers п(Зп-1) a.) The formula for Pentagonal numbers is Pn Use the formula to find Ps, the fifth Pentagonal number. Show your work. b.) Pentagonal numbers can be drawn to look like pentagons, or like houses! Write the next pentagonal number and draw the corresponding picture. Make sure your picture matches what you found in part a! P1= 1 P2=5 P3= 12 P4= 22 P5 = c.) Show that the P2, P3 , P4 and Ps can be split into two shapes, a triangular number and a square number. Hint: the square is the bottom of the house and the triangle is the roof! Circle each part! The first one has been done for you. Ti Sz P2=5 P3= 12 P4= 22 P5 d.) Complete the table below. Pentagonal number | The same as adding the triangular and square numbers.... P2= 5 P3 = 12 Ti+ S2 P4 = 22 P5 = e.) Write the general formula, with the correct subscripts, using the variable, n. Pn = T? + S?
AFHJ is equilateral. Complete the proof that AHIJ = AHGF. G Statement Reason 1 AFHJ is equilateral Given 2 ZHJI ZGFH Given ZIHJ E ZFHG Additive Property of Angle Measure Additive Property of Length All right angles are congruent Angles forming a linear pair sum to 180° Definition of angle bisector Dafinitionfcailateral trianalk 4 HJ FH ΔΗI ΔHGF
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its corresponding reason will complete the proof? * PROPERTY OF RHOMBUS STATEMENTS REASONS THEOREN OPCTC A. 5. AFES = AMES | 5. SAS Congruence Theorem B. 5. AFES = AMES | 5. LL Right Triangle Congruence Theorem C. 5. AFES = AMES | 5. ASA