5) Identify the segment bisector of S a) x+ 12 Bx-2

Q: In the figure, QN¯¯¯¯¯¯¯¯ is the perpendicular bisector of LM¯¯¯¯¯¯¯¯¯.Which of the following can be…

A: Introduction: Congruency is a very significant property of a triangle. Two triangles are referred to…

Q: W Y

A: Solve for SAS

Q: Prove if a quadrilateral ABCD is cyclic, then its opposite angles are supplementary.

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Determine what additional pair of corresponding parts must be congruent to prove that the two…

A: We are given the following figure :

Q: 1. a) The perpendicular bisectors of each side of a particular quadrilateral ABCD are concur-rent…

A:

Q: Which of the following shows congruent triangles by the Side Side Side Postulate?

A: To find which of the following shows congruent triangles by the Side Side Side Postulate

Q: State the theorem that proves that the pair of triangles are congruent. 2. 1. 3. 4. 5.

A: We have to give the names of congruency with which the given triangles are congruent.

Q: A triangle has circumcenter with sides 170.4 m, 198.8 m, and 227.2 m. Determine the distance from…

A:

Q: 45. Prove: If the diagonals of a trapezoid are congru- ent, then it is an isosceles trapezoid.

A: Prove:- if the diagonals of a trapezoid are congruent, then it is an isosceless trapeziod Now given…

Q: The diagonals of parallelogram ABCD intersect at P. Which statements must be true?

A:

Q: 7. Given that a triangle is equilateral, prove that one of its angle bisectors bisects the triangle.

A:

Q: 13. IF THESE TRIANGLES ARE CONGRUENT, WHAT THEOREM PROVES THIS?

A: Given figure,  if the triangles are congruent. we have to tell what theorem prove this.

Q: A quadrilateral is defined as a parallelogram if it has two pairs of parallel sides. True O False

A: Using property of parallelogram,

Q: Given quadrilateral WXYZ with coordinates W(4, 5), X(9, 4), Y (8,0) and Z(3, 1). Prove or disprove…

A: Quadrilateral is parallelogram if diagonals bisect each other

Q: 12 6. 8. A.

A: In ∆ACB and ∆ECD    ACBC=CEDC     69=812      23=23∠ACB=∠ECD (Vertical Opposite angle)∴∆ACB ~∆ECD…

Q: B. Decide which postulate/theorem, SAS, SSS, ASA, AAS, HA, or HL. can be used to prove that the…

A: Congruence

Q: 5 Using the information given below, which set of triangles can not be proven similar?

A: Triangles can be proved similar by many properties such as:- (a) SSS Side Side Side ratio of…

Q: 4. Construct the perpendicular bisector of this segment.

A: Given problem:-

Q: What additional information would be necessary to prove that the two triangles, XBY and ZAY, are…

A: This is the required figure

Q: A regular polygon can be defined as a polygon that has regular number of sides. O True O False

A:

Q: Prove that if a Pythagorean Triangle has even sides, then its perimeter, P, divides its area, A.

A: We have to prove perimeter P divides area A.

Q: The circumecenter of triangle HJK is point p. point A lies on line HJ and AP is perpendicular to…

A: Follow 2nd step.

Q: 4. Decide whether enough information is given to prove that the triangles are com SAS Congruence…

A: Yes, Here given enough information to tell wheather triangle are congruent or not. To find…

Q: Which method can be used to prove that the triangles are congruent?

A: When two lines are intersecting then their opposite angle are equal by vertical opposite angle . Two…

Q: a. Draw any two segments, AC and BD, that bisect each other at O. Whatappears to be true of quad.…

A: a) Consider the obtained quadrilateral ABCD, Where AC and BD bisect each other at O. So the…

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. 丰

A:

Q: 7. GH = HI 12x + 16 13x + 10

A: Given: GH=HI GH=12x+16 HI=13x+10 To find: Value of x Length of GI, GH, HI

Q: Which two triangles are congruent by the AAS Theorem? Complete the congruence statement. Y W

A:

Q: What additional information is needed to prove the triangles congruent? What theorem of postulate…

A: We know that, RHS congruence theorem states that, if the hypotenuse and side of one right-​angled…

Q: 11. Can you prove this quadrilateral is a parallelogram? K

A: No, this quadrilateral can not be proved to be parallelogram due to insufficient condition.

Q: Given the quadrilateral RSTU with vertices R(5, -3), 5(9, 0), 7(3, 8),and U(-l, 5). a. Show that…

A: Given; Vertices of Quadrilateral R5,-3, S9,0, T3,8, U-1,5 The distance between the vertices R and S…

Q: (4) Prove that if two altitudes in a triangle are congruent, then the triangle is Isosceles.

A:

Q: II. State the additional information needed to prove each pair of triangles is congruent indicated…

A:

Q: Which two triangles are congruent by the SAS Theorem? Complete the congruence statement. E

A: Consider

Q: 1O Tmungic Oongiuence 1. State what additional information is required in order to know that the…

A:

Q: Are the triangles congruent by the HL Theorem? A

A:

Q: Is there an analog to the SSS triangle congruence theorem for quadrilaterals?

A: To show whether there is an analog to the SSS triangle congruence theorem for quadrilateral.

Q: 9. Let ABCD be any quadrilateral. Denote the midpoints of the sides by E, F, G, and H. Prove that…

A: use the property of parallel lines and midpoint theorem to prove EFGH is parallelegram

Q: 44. Prove: The diagonals of an isosceles trapezoid are congruent.

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Q: 5. B. CR LA Congruence Theorem

A:

Q: Which two triangles are congruent by the SSS Theorem? Complete the congruence statement. R

A: SSS Congruence: If all the three sides of a triangle are equal to all the three sides of another…

Q: A quadrilaterial with exactly one pair of opposite sides parallel is classified as Trapezoid…

A: Given that : A quadrilateral with exactly one pair of opposite sides parallel is classified as

Q: Consider any eight points such that no three are collinear.How many triangles are determined?

A: Given: Eight point such that no three are collinear, To determine: The number of triangle that can…

Q: Which two triangles are congruent by the ASA Theorem? Complete the congruence statement.

A: Please refer to the image below

Q: Prove that the segment that joins the midpoints of two sides of a triangle has a length equal to…

A: Given:  AM¯=BM¯ ________ (1) AN¯=CN¯ To prove: MN¯=12BC¯ Construction: Extend MN¯ to a point D and…

Q: In the figure, QN is the perpendicular bisector of LM. M Which of the following can be used to prove…

A: We can prove the given result by using SAS theorem  of congruence. SAS THEOREM : lf the two sides…

Q: Which type(s) of quadrilateral(s) is(are) necessarily cyclic? a) A square b) A parallelogram

A: A cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose all vertices lie on a…

Q: 25. Given: Quadrilateral PQST with midpoints A, B, C, and D of the sides Prove: ABCD is a O

A:

Q: Points must be collinear in order to use the segment addition postulate. O True O False

A: solution = point must be collinear in segment addition postulate .this addition apply on line…

Q: Suppose that A, B, C, D and A′, B′, C′, D′ (in those orders) form the vertices of convex…

A: Consider the given: Given:AB=A'B'In a parallelogram, parallel sides have equal length.In…