4. If HK is the perpendicular bisector of FE, which of the following statements is not true. F H. O FK = EK O FJ EJ O HJ JK O LFJK and ZEJK are right angles

Q: Marcus is trying to probe the alternate interior angles theorem. Given that b // c and line a is a…

A: We have to choose correct option.

Q: The Converse of the Corresponding Angles Theorem states that if twO coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

Q: 9. If ON bisects ZPQR and N is the midpoint of PR classify each triangle by its angles and sides. а.…

A: Consider the given figure. QN¯ bisects ∠PQR and N is the midpoint of PR¯. a. Consider the triangle…

Q: If two lines are parallel in a plane then the angle between them is O 25° O 90° O Not defined D 0°

A: Two parallels lines never intersect each other . So no angle is formed between them .

Q: 5. If two lines are cut by a transversal, which of the following conditions is necessary to say that…

A: When two lines are cut by a transversal, the angles which occupy the same relative position are…

Q: Consider the diagram of two intersecting lines and the angles that are formed. 2 1 3 4 Which…

A: Suppliments angles are two angles whose sum is 180° Use this concept to answer the question.

Q: Show that the pair of bisectors of the angles between the straight lines (ax+by)?=c(bx-ay)², c>0 are…

A:

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The theorem of converse of correspondingangles :   If two parallel lines are cut by a transversal,…

Q: Situation #5 For AJSE, the point O is on JS and the point F is on JE. OF is parallel to SE. Also, JS…

A:

Q: Which of the following is not true of a parallelogram? O I ts diagonals bisect each other O Its…

A: Solve the following

Q: Show that the distance betwesn the paintfixgyt and the live axtby C=0 is %D Ja?+b?

A: As per as our guideline i am supposed to answer only 1 question please repost remaining questions.

Q: 22. If JKLM is a rhombus, find each angle. MZJKL = K 36° MZMLK = MZJMK %3D MZMJL = M L MZKNL =

A: By using rhombus property, we calculate the all required angles.

Q: 4. Given: LORT = ZSTR; ZS = ZQ Prove: QRST is a parallelogram Statements Reasons

A:

Q: O D 6. If ADEF has the perpendicular bisectors DG, EH, and FI and circumcenter J, which statements…

A:

Q: Which of the following is not true of a parallelogram? O ts opposite angles are congruent O Its…

A: We are given a question which is based on the properties of a parallelogram and we need to choose…

Q: B Which of the following statements about the angles in this parallelogram are true? Select all that…

A: We are given a parallelogram and we have to select the correct options regarding the angles of a…

Q: Which of the following would be the criterion for establishing similarity in the two triangles? A)…

A: We have to check

Q: Answer the following statement with "always", "sometimes", "never", or "not enough information to…

A: We can answer the question as below.

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: Given: <C and <D are supplementary m< B = m<DProve: AB is congruent to CD (give reasons…

A:

Q: When two parallel lines are cut by a transversal, then. .. LA LB 1. The corresponding angles are 2.…

A: 1. The corresponding angles:       i ∠A and ∠E(ii) ∠B and ∠F(iii) ∠C and ∠G(iv) ∠D and ∠H     2. The…

Q: calculate the distance between the point P (2, 3) and the point Q (1,-2) 20 3 us O V25 4 jus O V26

A: The distance between two points (x1, y1) and (x2, y2) is                    d=(x2-x1)2+(y2-y1)2…

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

Q: You are shown ZOPQ below whose measure is 50°. Draw an angle bisector of ZOPQ by clicking a dragging…

A: An angle bisector is a line or ray that divides an angle into two congruent angles.

Q: 12. What information is needed to prove that CD is a perpendicular bisector for KM K L M D

A: We need to prove CD is a perpendicular bisector for KM. if CD is a perpendicular bisector for KM,…

Q: In AGHI, GI is extended through point I to point J, m/IGH = (r + 16)°, m/HIJ (4x - 12)°, and m/GHI =…

A: Given: In ∆GHI, GI¯ is extended through point I to point J. m∠IGH=(x+16)°m∠HIJ=(4x-12)°m∠GHI=(x+10)°…

Q: Prove that: If AD is the angle bisector of A (in triangle ABC), and if u = BD and v = CD, then ас U…

A: Given: AD is the angle bisector of angle A in triangle ABC.u=BD and v=CD To Find:  To prove that…

Q: If Adam CL. is perpendicular to Bertha Dr. and Charles St., what must be true? Dana La. Adam Ct. I…

A:

Q: Given: S is equidistant from E and D; V is equidistant from E and D. Prove: ŠV is the perpendicular…

A: Given figure:                                   Given:                      SE= SD [since both the…

Q: In AOPQ, PQ = 19, QO = 11, and OP = 20. Which statement about the angles of AOPQ %3D must be true?…

A: In a triangle order of angles remain same as order of opposite sides always.

Q: 2. If quadrilateral JKLM is inscribed in a circle and 2J and ZK are sup- plementary angles, then LJ:…

A: Given that, Quadrilateral JKLM is inscribed in a circle. ∠J and ∠K are Supplementary Angles. Hence,…

Q: If HK = u + 28 and JK = 5u, find the value of u in parallelogram GHIJ. %3D %3D K H. U = Submit

A: in the given parallelogram GHIJ diagonals intersect at K HK = u +28 JK = 5u

Q: Use the diagram below to answer the question. 1/2 3/4 87 6 5 Given Z1 5, which theorem proves the…

A: Given: ∠1≅∠5

Q: If PR bisects ZSRT and U is the midpoint of RT, classify each triangle by its angles and sides. 15.…

A: The triangles are drawn in the figure given in the problem. 15. △UQR The sides and angles of △UQR,…

Q: 7. If angles J and K are supplementary and adjacent, which statement about the two ar 2J and ZK form…

A:

Q: Let ABC be a triangle and let P be a point inside. Let X, Y, Z be the intersections of AP, BP, CP…

A: Using Ceva's Theorem:     CXXB·BZZA·AYYC=1 ⇒CX·BZ·AY=XB·ZA·YC

Q: Given the similarity statement AHIJ ~ AWXY, which side corresponds with IH ? A) ĪJ B) XY O C) XW D)…

A: We will solve the following

Q: When lines a and b are cut by transversal d, 22 and 27 are a pair of alternate exterior angles that…

A:

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

A:

Q: 28. Determine the relationship between QJLK and JKLR if AQRP is equilateral and J, K, and L are…

A: J is midpoint of QR so, QJ=JR.   QRP is equilateral so QR=RP=PQ K is the midpoint of QP, so QK=…

Q: 4. Given: m BD = 100°, m BA = 110°, and m DC = 80°. Find the following angles. (not multiple choice)…

A: The given diagram is, In this figure,  mBD⏜=100°, mBA⏜=110° and mDC⏜=80°To find: a)∠AEC…

Q: If line I and line m are perpendicular, what must be true about Zaand Z b? m A. La zb z a + z b =…

A:

Q: 8. Given: AKJM - AOPR, with angles as shown Find: * + y + z 60 40 R Ox+10) (0.3z-20) M 2]

A: Topic = Triangles

Q: ) Oppositely directed to v = (15, –18) and half the length of v. w = (?, ?)

A:

Q: If JK = 11 and MK = 21 and MJ = 10, which point is in between the other two? %3D

A: 4) We have given JK=11 and MK=21 and MJ=10To find which point is in between the other two.

Q: 1. List the pairs of congruent angles and the extended proportion that relates the corresponding…

A: If a polygon is similar to other polygons, then their corresponding angles are equal and the ratio…

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

A: In given figure  For ∆ADE &∆BEC 1) AD= BC ( opposite sides are parallelogram are equal and…

Q: Let ABC be a triangle and let X and Y be points on AB and AC, respectively. Let AX = 6AY = 3, XB=1,…

A: Given information: ABC be a triangle and let X and Y be points on AB and AC, respectively. AX=6,…

Q: Which of the following facts will not necessarily prove that two lines are parallel when cut by a…

A:

Q: 5. If LAMP and LBMC are right angles, AM = CM and LA = LC, prove that AP = CB. C A M В

A: # we are entitled to solve one question at a time ,please resubmit other question if you wish to get…

Statements and Logic

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