A partaly completed proot is shown. Cter: ACD ia a quadrilateral, ZBAC ZICA, ZB ZD, AB | CD Proee: AICDa a purallelogram. B D ntements Annsone AIGD Ia a quadrtlateral. Cien a. AC CA 4. AABC ACDA . AD CBk AB CD AIGD ts a parallelogram. Part A: What reason woud correcty juatiy statament 47 O Sidn Side Side Poshiate • Angle Side Angle Postulate O Sida Angla Side Posate O Angle Angle ide Theorem Part B: What reason wauld comecty justty statement 67 O Comresponding parts of congruent trianglas are congruent both pairs of opposile sides ara congruant, than the quadrlateral is a paralelogram. O Photh pains of opposite angies are congruant, then the quadrilatoral is a paralelogram. O Retaxve property of congrance

Q: Can the intersection of a plane and a triangular prism produce a rectangular cross section? Draw a…

A: Solve the following

Q: 7. Given: C is the Midpoint of AD, <A <D Prove: Triangle ABC is congruent to Triangle CDA D B C E A

A:

Q: Every lateral face in a prism is a triangle. O True O False

A: A prism is a 3-D shape with flat sides, it has 2 ends which are of same size and shape.

Q: 21) CA is congruent to what line of the segment?  a)CE  b)AE  c)RE  d)AC 22)<ACR is congruent to…

A: Congruent of triangles: Two triangles are congruent if all three corresponding sides are equal and…

Q: . Given: ZABC is supplementary to ZCBD BÉ bisects ZABC BÉ bisects ZCBD Prove: ZEBF is a right angle…

A:

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE sebment!…

A:

Q: Tis the midpoint of SU, SV N TW, and UW TV. Complete the proof that ASTV E ATUW. T. W Statement…

A: solution = T is the midpoint of SU = given  SV  ≅TW¯ = given UW ¯ ≅ TV¯ =given ST¯ ≅ TU¯ =…

Q: Note: Exercises preceded by an asterisk are of a more challenging nature For Exercises 1 to 10, use…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Given a triangle ABC with points D. E. and Fas midooints of sides AC AB, and BC respectively. If AB…

A:

Q: A quadrilateral with exactly two pair of consecutive, congruent sides is classified as a: Rectangle…

A:

Q: 1. If RS = 20, ST = 21, and RT = 29, is ARST a right triangle? Explain. %3D %3D

A:

Q: Which statement describes the construction being illu on the rectangle shown? E A G O A line segment…

A:

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: According to question given that ABCD is rectangle ∆CDP is an equilateral triangle∆BCQ is an…

Q: Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that AADW = ACDZ.…

A: For the given Kite A B C D and Isosceles trapezoid W X Y Z  It is given that  AC is parallel to W Z…

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: The given figure is: where ABCD is a rectangle and PCD and BCQ  are equilateral triangles.

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD. Let M and N be the midpoints of DA and BC,…

A:

Q: A figure is shown. Given: LA= MB, BL|| AM Which statement about quadrilateral LAMB is true? O…

A:

Q: If JKLM is a rhombus, MK = 30, NL = 13, and m/MKL = 41°, find each measure. %3D %3D

A: We have to find each measure using given information

Q: Afigure is shown. M Glvan: LA = MB, BL |AM Which statement about quadrilateral LAMBis true? O…

A:

Q: Given: C is the midpoint of BD and AE Piove ΔΑBC = ΔΕDC D STATEMENTS REASONS 1. Cis a midpoint of BD…

A: In the given ΔABC and ∆EDC C is the mid point of BD and AE

Q: 33) In quadrilateral RSTU, Es I ST and ŪT I diasgned If RS =6,ST = 8, and 12U = 15, find UT %3D

A: We can easily solve this problem by using Pythagoras Theorem in both the triangles (one by one).

Q: The diagonals of quadrilateral ABCD intersect at E. If EC = 4, BD = 12, AE = x, and BE = y, what…

A:

Q: If RS = 20, ST = 21, and RT = 29, is ARST a right triangle? Explain. %3D %3D

A: A triangle is right angle triangle if it obeys the Pythagoras theorem which says (Hypotenuse)²…

Q: In the diagram shown, BDEG is a rectangle and ABCD is a rhombus. Find the measure of the indicated…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given: CE bisects ZBCD. LA is a right angle. MZBCE = 45 Prove: ZA = ZBCD

A: It is given that →CEbisect LBCD . LA=90 degree LBCE=45 degree Now we have to prove…

Q: In quadrilateral RSTU, RT and su intersect at point M, so that RM = TM and RS is parallel to TU.…

A: Given RSTU is a quadrilateral .RM=TMRS is parallel to TU

Q: Complete the following statements. a. If AY SR= ANVD, then DV = ? and MZRYS =__? _ . b. If AB…

A:

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE sebment…

A:

Q: 2. Given: ABCD is a parallelogram, DE I AF, and CF 1 AF Prove: DE = CF D C Statement Reason A E

A:

Q: In the diagram, ACDE is a cyclic quadrilateral, Lines GAB and FEHC are paraliel, and line GAB is a…

A:

Q: What additional information would allow you to safely conclude that the quadrilateral below is a…

A: Given

Q: If JKLM is a rhombus, MK = 30, NL = 13, and ZMKL = 41°, find each measure. %3D %3D K NK = JL = angle…

A:

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE sebment…

A:

Q: EBCD is a parallelogram, EB = 16, ED = 25, BF = 11, EC = 34, m2 nd MZBCE = 24°, find each missing…

A: You have posted multiple subparts. As per the instruction, we will be answering only the first four…

Q: In the figure shown, MN PQ is a rhombus. The length of MP is 10 cm and the length of NQ is 24 cm.…

A:

Q: Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain?…

A: Given:

Q: Label a point D outside AABC so that AD WY and ZDAB ZYWX. Since WX AB, AWXY AABD by Now, let E be…

A:

Q: Consider the figure below. of If you were to make a quadrilateral by rotating ARST 180° about U,…

A:

Q: Complete the proof below by matching the correct reason to the statement in the table. Given: ZBAC =…

A: Given: ∠BAC≅∠EDC BC≅EC Since it is given that∠BAC≅∠EDC thus, the correct reason for their…

Q: In parallelogram ABCD, MLBAC = 23°, MZBCA = 42°, and AE = AD. The MZBDC is А B E D C (1) 46° (2)…

A:

Q: 7) Given: Parallelogram ABCD with diagonals AC and BD intersecting at E. Prove: AADE ACBE sement…

A:

Q: A figure is shown. L. A Given: LA MB, BL || AM Which statement about quadrilateral LAMB is true? O…

A:

Q: Identify the given parts of quadrilateral ABCD. 1. AD, BC A 2. AC, BD en 3. ZADC, ZABC 4. AD, AB 5.…

A: Since D and B are opposite vertices. Therfore, the given angles are opposite angles.

Q: Consider the figure below. Abraham cut regular pentagon ABCDE into quadrilateral BEGC. A E B G. C If…

A:

Q: In quadrilaterals ABCD and EFGH, AB || DC, EF || HG, ZA = LE, and LB = LF. a) Are quadrilaterals…

A: Given that, (i) In quadrilaterals ABCD and EFGH, AB is parallel to DC and EF is parallel to HG. (ii)…

Q: 15) Given: AE =CD;ZDBC = ZC;ZA=ZDBC Prove: Quadrilateral ABDE is a parallelogram.

A: Given: ∠DBC=∠C , ∠A=∠DBC , AE=CD To prove: ABDE is a parallelogram

Q: If AABC is an isosceles triangle, which statement explains whether there is enough information to…

A:

Q: Type SSS, SAS, ASA, SAA, or HL to justify why the two larger triangles are congruent. C A AC = EC AB…

A:

Q: A partially completed proof is shown. Given : ABCD is a quadrilateral, ZBAC= /DC A, ZBz ZD, AB || CD…

A: Here is the solution

Q: A figure is shown. L B M Given: LA MB, BL || AM 2) Which statement about quadrilateral LAM B is…

A: Topic:- geometry

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.