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Submit lest Geometry Section 09 - 10 - 2021 - 1206310-1206320 Question: 1-18 Complete the paragraph proof by filling in the blanks with the appropriate letter from the chart below. A. The definition of a B. The definition of a C. The definition of a D. The definition of parallelogram E. Opposite sides of a parallelogram are congruent J. SSS rhombus right angle perpendicular - lines I. F. Diagonals of a parallelogram bisect each other G. Opposite angles H. The reflexive of a parallelogram are congruent. L. ASA The transitive property of congruence property of congruence K. SAS М. HL N. AAS P. CPCTC Given: ABCD is a rhombus Prove: AC 1 BD B D ABCD is a rhombus. We know that AB BC by ABCD is a parallelogram and we know that AP PC because So, AAPB ACPB by ZAPB ZCPBby[ PB PB by ZAPB LCPB also form a linear pair and are supplementary. If two congruent angles are supplementary, they must each measure 90". Therefore, LAPB is a right angle by and AC I BD by Previous Pause

Submit lest Geometry Section 09 - 10 - 2021 - 1206310-1206320 Question: 1-18 Complete the paragraph proof by filling in the blanks with the appropriate letter from the chart below. A. The definition of a B. The definition of a C. The definition of a D. The definition of parallelogram E. Opposite sides of a parallelogram are congruent J. SSS rhombus right angle perpendicular - lines I. F. Diagonals of a parallelogram bisect each other G. Opposite angles H. The reflexive of a parallelogram are congruent. L. ASA The transitive property of congruence property of congruence K. SAS М. HL N. AAS P. CPCTC Given: ABCD is a rhombus Prove: AC 1 BD B D ABCD is a rhombus. We know that AB BC by ABCD is a parallelogram and we know that AP PC because So, AAPB ACPB by ZAPB ZCPBby[ PB PB by ZAPB LCPB also form a linear pair and are supplementary. If two congruent angles are supplementary, they must each measure 90". Therefore, LAPB is a right angle by and AC I BD by Previous Pause

Elementary Geometry For College Students, 7e
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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P Performance Matters Welcome, Christian Brodie! Connection Status: Good All changes saved Question 18 of 18 - Submit Test Geometry Section 09 - 10 - 2021 - 1206310-1206320 Question: 1-18 Complete the paragraph proof by filling in the blanks with the appropriate letter from the chart below. A. The definition of a B. The definition of a C. The definition of a parallelogram D. The definition of perpendicular lines E. Opposite sides of a parallelogram are congruent J. SSS rhombus right angle F. Diagonals of a parallelogram bisect each other G. Opposite angles of a parallelogram are congruent. L. ASA H. The reflexive I. The transitive property of congruence property of congruence K. SAS М. HL N. AAS Р. СРСТС Given: ABCD is a rhombus Prove: AC 1 BD B D ABCD is a rhombus. We know that AB = BC by ABCD is a parallelogram and we know that AP PC because ZAPBE ZCPB by PB PB by So, AAРВ ДСРВy congruent angles are supplementary, they must each measure 90". Therefore, ZAPB is a right angle by ZAPB LCPB also form a linear pair and are supplementary. If two and AC I BD by Previous Pause
Transcribed Image Text:P Performance Matters Welcome, Christian Brodie! Connection Status: Good All changes saved Question 18 of 18 - Submit Test Geometry Section 09 - 10 - 2021 - 1206310-1206320 Question: 1-18 Complete the paragraph proof by filling in the blanks with the appropriate letter from the chart below. A. The definition of a B. The definition of a C. The definition of a parallelogram D. The definition of perpendicular lines E. Opposite sides of a parallelogram are congruent J. SSS rhombus right angle F. Diagonals of a parallelogram bisect each other G. Opposite angles of a parallelogram are congruent. L. ASA H. The reflexive I. The transitive property of congruence property of congruence K. SAS М. HL N. AAS Р. СРСТС Given: ABCD is a rhombus Prove: AC 1 BD B D ABCD is a rhombus. We know that AB = BC by ABCD is a parallelogram and we know that AP PC because ZAPBE ZCPB by PB PB by So, AAРВ ДСРВy congruent angles are supplementary, they must each measure 90". Therefore, ZAPB is a right angle by ZAPB LCPB also form a linear pair and are supplementary. If two and AC I BD by Previous Pause
Expert Solution
Step 1 Definition

Rhombus consists of four equal sides.

Diagonals of parallelogram bisect each other.

Reflexive property of congruence states that any shape is congruent to itself.

From SSS congruence rule, if three sides of one triangle are equal to corresponding three sides of another triangle then two triangles are congruent.

According to CPCT theorem, if two triangles are congruent then corresponding angles and sides of the triangles are also congruent to each other.

Two lines are perpendicular when they meet at right angle.

 

 

 

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