Answered: In ARST in Figure 4.17, M and N are the…

In ARST in Figure 4.17, M and N are the midpoints of RS and RT, respectively. a) If ST 12.7, find MN. b) If MN 15.8, find ST.

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

Section4.2: The Parallelogram And Kite

Problem 24E: In Exercise 19 to24, complete each proof. Given: MNPQ, with T the midpoint of MN and S the midpoint...

See similar textbooks

Related questions

Q: )Let ABC be an isosceles triangle with AB-AC Let D be the foot af the A to BC. ( Prove that AD…

A: NOTE- AS WE ARE ALLOWED TO ANSWER FIRST QUESTION IN ONE SESSION SO I HAVE ANSWERED FIRST ONE FOR…

Q: Determine if the two triangles are congruent. If they are, state how you know. O AAS Not enough…

Q: Suppose AQRS and ATUV are congruent right triangles such that ZR is a right angle and ZV = 35°. What…

A: Given △QRS and △TUV are congruent triangles such that ∠R is a right angle and ∠V=35°. To find: ∠T…

Q: The given diagram shows circle D inscribed in AABC. Points I, J, and H are located on the OD and DI…

A: Given problem:- The given diagram shows circle D inscribed in ΔABC. Points I, J, and H are such that…

Q: Which postulate can be used to prove that the following triangles are congruent. A ASA B SSS CSAS D…

Q: 1. Prove that the sum of the interior angles of triangle ABC is 180 degrees C B.

A: Consider the triangles ABC as shown below. Now draw a line through the point A of the triangle such…

Q: Which additional piece of information would be needed to prove that these triangles are congruent…

Q: Which postulate can be used to that the following triangles are congruent. E A ASA

A: 7. Two triangles △ABC and △DEF are given in the figure. From the figure, ∠B≅∠E AngleBC≅EF…

Q: Determine which congruence method can be used to prove that the given triangles are congruent. AA.…

A: 1) Given triangles ΔABC ≃ ΔPQR

Q: Which postulate would prove the two triangle congruent? D T E AAS SAS ASA SSS

A: Solve by triangle similarity

Q: Which postulate can be used to that the following triangles are congruent.

Q: Find the measure of one angle in a regular... a) Нехадon b) 21-gon

Q: Complete the explanation of how to map one triangle onto the other. 4 in. 8 in. First use (select) 7…

A: Consider the following figure.

Q: Given: AB | DC and E is the midpoint of AC. Prove: AABE ACDE.

Q: Which postulate can be used to prove that the following triangles are congruent. A) AS A B SSS c)…

A: The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle…

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

A: 5. Use ASA congruence rule to prove that two triangles are congruent . If two triangles are…

Q: Which theorem would show that the two right triangles are congruent? OA SAS Triangle Congruence…

A: Given:

Q: Determine if the two triangles are congruent by ASA, AAS, SSS, SAS, or not enough information. 9)…

A: Triangles are given we have to check congruent property.Note :If multiple question are given we have…

Q: O Find the sum of the measures of the interior angles of a convex 20-gon.

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

A: Congruence

Q: each drawing with a Triangle Congruence Postulate that can be used to prove the triangles are…

A: (a): (b)

Q: A. В. D.

Q: GIVEN: ARST [Figure 5.24(a)] with sides a, b, and c so that c2 = a² + b? PROVE: ARST is a right…

A: We have given triangle RST It is given that c2=a2+b2

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: e) In the given figure, AB = AC, ZADE = 35°, and ZBED = 70°, Prove that ADBE is a cyclic 35…

Q: Given the following infromation about tow triangles, CAT and DOG C=D CA=DO AT=OG CT=DG WHich…

Q: Let H denotes the orthocenter of AABC, and let P, Q, and R denote the midpoints of the segments…

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: There is not enough information to guarantee côngruen a) triangles. b) ARHO = ANDA because SSS c)…

A: Answer: (b) Δ RHO ≅ Δ NDA because ASA

Q: 12. Name the postulate, if possible, that makes the triangles congruent. D A[ O ASA O HL O AAS O SAS

Q: Which of the follawing stateIments is nol a Irug statemenit? O AEBC AEDC by AAA. O BC DC by CPCTC. O…

Q: In the glven figure, angle 1 and angle 3 are supplementary angles. Prove that al|6 by arranging the…

Q: Given the following information about two triangles, A CAT and A DOG : ZC = ZD CA DO AT OG CT - DG…

A: Given the following information about two triangles, △CAT and △DOG : ∠C≅∠DCA≅DOAT≅OGCT≅DG…

Q: Which statement is not used to prove that ALKM is similar to ANOM? K O Angle K is congruent to…

A: Given figure is

Q: In AABC, M and N are midpoints of AC and BC, respectively. If MN = 7.65, how long is AB?

Q: Given the following information about two triangles, A CAT and A DOG: ZC 설 LD CA DO AT OG CT DG…

Q: Determine whether the triangles are congruent by AA SSS ~, SAS , or not similar. 72 S 72° Choose.. -

Q: Use the following figure to prove the Pythagorean Theorem by first proving that the quadrilateral…

A: Pythagorean theorem states that in a right angled triangle, the square of the hypotenuse of the…

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: Decide whether enough information is given to prove the two triangles are congruent using the SAS…

Q: In the figure shown, AC || ED and point B lies on line segment AC. Which of the following would be a…

A: We can answer the question as below.

Q: If P is between A and B, prove that the segments AP and PB have only the point P in common.

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

A: Please refer to the image below

Q: GIven that ZA,2B, LC E{ angles } such tha F ZA and <B are complementary and that <A and 2 C are…

Q: Choose the correct answer below. O A. AABC - AHKG by the SAS - Theorem. O B. AABC - AHKG by the SSs…

Q: In AABC, D is a point on AB and E is a point on AC such that ED/ BC. If AD=6, BC=6, and DB is one…

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

Q: IN IN IN #1: AHEY is congruent to AMAN by What other parts of the triangles are congruent by CPCTC?…

Q: Prove that the math emtical ystem CZ , to) Is ce Phoup.

Q: V is a point on segment UW. If Uv=11.3 and VW=8.4, what is UW?

Question

In ARST in Figure 4.17, M and N are the midpoints of RS and RT, respectively.
a) If ST
12.7, find MN.
b) If MN
15.8, find ST.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In ABC, M and N are midpoints of AC and BC, respectively. If MN=7.65, how long is AB?
In the figure shown, CD bisects AB at point M so that AM=MB. Is it correct to conclude that CM=MD?
In Exercise 19 to24, complete each proof. Given: MNPQ, with T the midpoint of MN and S the midpoint of QP Prove: QMSNPT and MSPT is a
In Exercise 19 to24, complete each proof. Given: WXYZ with diagonals WY and XZ WMXYMZ Prove:
In the three-dimensional figure, CAAB and BEAB. Are CAandBE parallel to each other? Compare with Exercise 6.
In Exercise 5 to 12, plan and write the two-column proof for each problem. Given: P is the midpoint of both MR and NQ. Prove: MNPRQP
A carpenter has placed a square over an angle in such a manner that ABAC and BDCD. In the drawing, what can you conclude about the location of point D?
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._
In Exercises 19 and 20, the triangles to be proved congruent have been redrawn separately. Congruent parts are marked. a Name an additional pair of parts that are congruent by using the mason Identity. b Considering the congruent parts, state the reason why the triangles must be congruent. MNPMQP
In triangle ABC, line t is drawn through vertex A in such a way that tBC. aWhich pairs of s are ? bWhat is the sum of m1, m4, and m5 ? cWhat is the sum of measures of the s of ABC ?
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides m, r, and t.
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides e, f, and g.