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 E. Opposite sides of parallelogram are congruent J. D. The definition of perpendicular lines rhombus right angle F. Diagonals of a parallelogram bisect each other G. Opposite angles of a H. The reflexive property of congruence I. The transitive SSS property of congruence parallelogram are congruent. L. ASA K. SAS М. HL N. AAS Р. СРСТС Given: ABCD is a rhombus B Prove: AC 1 BD ABCD is a rhombus. We know that AB BC by PB PB by ABCD is a parallelogram and we know that AP = PC because ZAPB ZCPB by So, AAPB ACPB by| ZAPB LCPB also form a linear pair and are supplementary. If two congruent angles are supplementary, they must each measure 90°. Therefore, ZAPB is a right angle by and AC 1 BD by

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 E. Opposite sides of parallelogram are congruent J. D. The definition of perpendicular lines rhombus right angle F. Diagonals of a parallelogram bisect each other G. Opposite angles of a H. The reflexive property of congruence I. The transitive SSS property of congruence parallelogram are congruent. L. ASA K. SAS М. HL N. AAS Р. СРСТС Given: ABCD is a rhombus B Prove: AC 1 BD ABCD is a rhombus. We know that AB BC by PB PB by ABCD is a parallelogram and we know that AP = PC because ZAPB ZCPB by So, AAPB ACPB by| ZAPB LCPB also form a linear pair and are supplementary. If two congruent angles are supplementary, they must each measure 90°. Therefore, ZAPB is a right angle by and AC 1 BD by

Name: Complete the paragraph proof by filling in the blanks with the appropr
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: Complete the paragraph proof by filling in the blanks with the appropriate letter from the chart below. Complete the paragraph proof by filling in the blanks with the appropriate letter from the chart below.E. Opposite sides ofa parallelogramare cong

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter4: Quadrilaterals

Section4.CT: Test

Problem 16CT: Complete the proof of the following theorem: The diagonals of an isosceles trapezoid are congruent....

See similar textbooks

Similar questions

Consider regular pentagon RSTVQ not shown. Given that diagonals QT and VR intersect at point F, show that VFFR=TFFQ.
Does it follow from Exercise 30 that ADE is also congruent to CBE? What can you conclude regarding AE and CE in the drawing? What can you conclude regarding DEandBE?
Assuming that mBmA in , which diagonal AC-orBD- would be longer?
In the drawing, ABDCEF with transversals l and m. If D and C are the midpoints of AE and BF, respectively, then is trapezoid ABCD similar to trapezoid DCFE?
In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._
Prove by the indirect method: Given: Scalene XYZ in which ZW bisects XZY point W lies on XY. Prove: ZW is not perpendicular to XY
Given the line AC and ray BD, suppose that BE bisects ABD and that BF bisects DBC. What type of angle is EBF?
In O, chord AB chord CD. Radius OE is perpendicular to AB and CD at points M and N, respectively. If OE=13, AB=24, and CD=10, then the distance from O to CD is greater than the distance from O to AB. Determine how much farther chord CD is from center O than chord AB is from center O; that is, find MN.
A tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?
Complete the proof of the following theorem: The diagonals of an isosceles trapezoid are congruent. Given: Trapezoid ABCD; ABDC and ADBC. Prove: ACBD PROOF Statements Reasons 1_________ 2. ADCBCD 3. DCDC 4. ADCBCD 5.__________ 1.______________ 2. Base s of an isosceles trapezoid are _______. 3._________ 4.____________ 5. CPCTC
In P, whose radius has length 8in., mAB=mBC=60. Because mAC=120 chord AC is longer than either of the congruent chords AB and BC. Determine how much longer AC is than AB; that is, find the exact value and the approximate value of ACAB.
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.