Answered: B B. Use the Perpendicular Bisector…

B B. Use the Perpendicular Bisector Theorem to find the measure of the following. Given: BD is the perpendicular bisector of AC. 4. If AD = 2x+ 10, CD x+20, find CD. A C %3D D

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter2: Parallel Lines

Section2.5: Convex Polygons

Problem 49E: For concave hexagon HJKLMN, mH=y and the measure of reflex angle at N is 2(y+10). Find the measure...

See similar textbooks

Related questions

Q: . If OT is the perpendicular bisector of PR, find each measure. Sy- 31 y = 6x-2y PQ = 2y +5 QR = %3D…

A: From figure PS=SR 4x+ 4 = 7x-17 7x- 4x = 17 + 4 3x = 21 X= 7 Consider triangle PTQ and RTQ PT =RT…

Q: I and W are the midpoints of the legs, SU and RV, of trapezoid RSUV. If RS = 10p - 98, TW = p + 50,…

Q: Quadrilateral UVWX is an isosceles trapezoid, UW = 2s, and VX = 3s 53. What is the value %3D %3D of…

A: For isosceles trapezoid, the diagonals are of equal length

Q: In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint of VWIIF XY = 54 -…

A: Since , X & Y are midpointsof UV¯ & VW¯ respectivelythen XY = 12UW

Q: Given EP = FP and GQ = FQ, what is the perimeter of AEFG? F 2x Зх— 1 P x + 2y 4y + 4 4y + 2/ E…

A: Two triangles are said to be similar if the shape of both triangles is the same. Similar triangles…

Q: Given: D is the midpoint of AC АС — ВС A CD 2х + 5 ВС — х + 28 Find: АС

A: Given: D is the midpoint of AC. AC=BC CD=2x+5 BC=x+28

Q: in the figure below, allbllcand B is the midpoint of AC and E is the midpoint of DF. If B = 2x + 3y,…

Q: For #35 to #37; Given: Trapezoid ABCD with median FC where AD= 5x, BG= 3x, AB= 4 cm., DC= ocm A В F…

A: (35) As F is the midpoint of AD, we have FD=12AD=125x=2.5x So (c) is the correct option.

Q: or #11 to #20: GOLD is a parallelogram with ZL=90° L.

A: A parallelogram with one right angle is a rectangle and a rectangle is quadrilateral with four right…

Q: In the diagram below of triangle GHJ, K is a midpoint of GH and L is a midpoint of HJ. If KL = 43 –…

A: Given : K is a midpoint of GH and Lis a midpoint of HJ.

Q: brianly ABC, D is a midpoint of AB and E is a midpoint of BC. if DE = 64 - 7x and AC = 48 - 4x what…

Q: W and T are the midpoints of the legs, RV and SU, of trapezoid RSUV. If UV = 41 and TW = 66, what is…

Q: c) ABC is a right-angled triangle with ZPQR = 90. S is a point on PQ and ST is perpendicular to PR,…

A: Given triangle is Solution 1: In ∆PQR and ∆PTS ∠PQR=∠PTS=90°∠QPR=∠SPT {common angle} Since…

Q: 2. Given: CE is the perpendicular bisector of FG. F 8 D

A: Consider the following figure: GD¯=9 unit

Q: Determine the length of the diagonals of the isosceles trapezoid below when KL = h +7 and UE =…

Q: 19. a) Find the length of AD, if BD is a perpendicular bisector of AC. 4x + 6 BE 2x + 18 A b) What…

A: i have used pythagorus theorem for right angle triangles that is square of length of hypotanious…

Q: B is the midpoint of AC. If AB = x+5 and BC = 2x - 11, find the measure of AB. %3D A B 16 C 21 42

A: Given : AB=x+5BC=2x-11

Q: U and R are the midpoints of the legs, PT and QS, of trapezoid PQST. If PQ = -z + 70, RU = -z + 83,…

A: The solution is given below:

Q: The diagonals of parallelogram WXYZ intersect at P. Which statement must be true? Select all that…

A: Given:

Q: In the diagram below of triangle TUV,W is a midpoint of TU and X is a midpoint of UV. If W X = 26 –…

Q: What value of x would make RS the perpendicular bisector of PQ? 10 4x-10 7. 2х- 3 S

A: We need to find the value of x so that RS becomes perpendicular bisector of PQ in the following…

Q: -2 12 10 10 10 2 0 D=(2, 10) d A=(1-1)- a U C=(8,6) b B=(6,2) OD 10 12 X 14 16

A: We have to find out perimeter

Q: RU is the midsegment of the trapezoid STVW. If VW = 25 and ST = 39, what is RU? %3D R W V U RU =

A: RU = 32

Q: C'alculate | (ydæ – xdy)] wherein y(t) (2cos(t), 2sin(t)), 0 < t < 27, is an circumference that…

Q: Given the following trapezoid, determine the value of y. 4x 1 - 60 6х + 11 у -1 93 0.95 O 80 O 90

Q: 6. A quadrilateral FGHI is similar to quadrilateral F'G'H'T'. G G' H' 48 cm2 ?? cm? 12 cm 8 cm Given…

Q: 23. M is the midpoint of RS, RM = 3x + 1 and MS = 4x -2. What is RS? %3D %3D

Q: UX is the midsegment of the trapezoid STVW. If ST = 2z -99, UX = 2z - 85, and VW = z, what is the…

A: We are given that UX is the mid-segment of the trapezoid STVW. By the property of…

Q: The quadrilaterals JKLM and PQRS are similar. Find the length x of QR. S R 3.6 2.7 K 7 6.3 2.

Q: Given P (8, 0) and Q (0, -6). The perpendicular bisector of PQ meets the axis of the axis at A and…

A: The points are P(8,0) and Q(0,-6)

Q: B 150m 86° 120m G

Q: Given isosceles trapezoid PAGE. G T B. If PE = 3x - 5, AG x+ 7 and TD 26, find 1. X= 2. AG 3. PE= E.…

A: Topic =Geometry

Q: Given EP = FP and GQ = FQ, what is the perimeter of AEFG? %3D %3D 2x Зх- 1 x+ 2y 4y+2/ 4y+4 G.

A: Here we have given a triangle. We have EP = FP And GQ = FQ From these we can write 2x = 4y + 2…

Q: 2. Given that the following figures are parallelograms, find the value of x and of y. (a) A (2y- 9)°…

Q: In the diagram below of triangle V W X,Y is a midpoint of V W and Z is a midpoint of W X. If Y Z =…

A: According to mid point theorem, the line segment in a triangle joining the mid point of two sides of…

Q: Which represents the distance between the point P(x, y) and the origin? O A. d%D A. d= /y2 - x? O B.…

Q: If QT is the perpendicular bisector of PR, find each measure. 5y - 31 y =. PQ = %3D 6x-2y 2y +5 QR =…

A: In the following figureGiven PS = SRand QT is the perpendicular bisector of PR. If QT is…

Q: Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE = 2x, BE =y+ 10, CE = x + 2…

A: From given data, parallelogram ABCD can be drawn as,

Q: If |(3d + b) x (a+ b)| = 24, then the area of the parallelogram determined by ā and b is O A. 4 о в.…

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Determine the length of the diagonals of the isosceles trapezoid below when KL = h+7 and UE = 4h-…

A: Given in question Diagonals KL= h+7 UE = 4h-25 We know that in isosceles trapezoid the length of…

Q: Given EP = FP and GQ = FQ, what is the perimeter of AEFG? F 2x Зх — 1 x + 2y 4y + 2) 4y + 4 E…

Q: Given: XY bisects RS Conclusion: What do you know to be true? M R

Q: SV is the midsegment of the trapezoid TUWX. If SV = 17 and WX = 20, what is TU? %3D W T. V TU =

Q: 2. In AJKM, JN is the perpendicular bisector of MKR. Find: .K 5x + 8 a. MN b. The value of x 35 C.…

A: I am attaching image so that you understand each and every step.

Q: C. 3x +4 E. 9+x %3D DE is a midsegment of triangle ABC. If DE = x + 6 and BC = 3x + 4, what does x =…

Q: For what values of a is the distance between P(a, 3) and Q(5, 2a) greater than v26?

A: Given: P a, 3, Q5, 2a To find: The values of 'a' in which the distance between points P and Q is…

Q: A B M "The length of the median of a trapezoid is one-half the sum of the lengths of the D C two…

A: If two lines intersect each other, then the vertically opposite angles are equal. Alternate interior…

Q: F is the measure of ZDGH? 5.

A: Given , The diagonals of square DEFG intersect at point H We hace to the measure of ∠DGH

Question

B
B. Use the Perpendicular Bisector Theorem to find the measure of the following.
Given: BD is the perpendicular bisector of AC.
4. If AD = 2x + 10, CD x+ 20, find CD.
A
D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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._
Given: Tangents AB,BC,andACtoO at points M, N, and P, respectively. AB=14,BC=16,AC=12 Find: AM, PC, and BN
Use the result of Exercise 13 to do the following problem. In MNPQ, QP=12 and QM=9. The length of altitude QR to side MN is 6. Find the length of altitude QS from Q to PN.
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
Let AB=a and BC=b. Point M is the midpoint of BC. If AN=23(AB), find the length of NM in terms of a and b.
For concave hexagon HJKLMN, mH=y and the measure of reflex angle at N is 2(y+10). Find the measure of the interior angle sat vertex N. HINT: Note congurences in the figure
Given: D is the midpoint of AC ACBC CD=2x+5 BC=x+28 Find: AC
Which formula would you use to establish each of the following claims? a The coordinates of X are d,c. b mVT-=0 c VT-RS- d The length of RV- is 2d2+c2 Trapezoid RSTV; X is the midpoint of RV-.
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?
Given: RST, with XYRT and YZRS Prove: RXXS=ZTRZ