Answered: When writing a proof of the segment…

When writing a proof of the segment addition postulate where AB = 18, substitution can be used to replace the term AB in with the number 18 OTrue O False

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 23E: Prove the Extended Segment Addition Property by using the Drawing, the Given and the Prove that...

See similar textbooks

Related questions

Q: Using the Segment-Addition Postulate, state a conclusion regarding the accompanying figure. . A B

A: Using the segment-Addition Postulate, state a conclusion regarding the accompanying figure. ______

Q: Which of the following statements is false? OA. A square is a regular quadrilateral. OB. Opposite…

Q: A secant segment consists of an external secant segment and an internal secant segment. O True O…

A: The given statement is: The secant segment consists of an external secant segment and an internal…

Q: 9. Use the given plan to write a two-column proof of the Symmetric Property of Congruence. Given: AB…

A: This question is related to geometry. Solve in step 2.

Q: Which correctly completes the statement? In order to prove AABC APQR by ASA, you must show that ZA…

A: the given triangles ∆ABC and ∆PQR

Q: Given that AB DF, BC = FE and AE = CD. What do you think is the correct reason for the statement AC…

Q: which statements describes the construction being illustrated on the rectangle in the attached see…

A: Given

Q: In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into…

A: we have a given rectangle PQRS Rectangle has following properties 1)opposite sides are parallel…

Q: Suppose that a and b are two numbers with this property: for anv e va it is true that azb. Prove a =…

Q: Given that AB =4x+8 and BC=2x+3, and AC is 77. What is "x"? Only use number answer. Use the segment…

Q: In triangles DEF and OPQ, D = 20, 2F 2Q, and DE 00. Is this information sufficient to prove…

Q: Name the property of equality or congruence that justifies going from the first statement to the…

Q: Show that each conjecture is false by finding a counterexample. 2. For any integer n, n° > 0. 3.…

A: # 2) given statement is n 3 > 0 , for any integer n

Q: ATOM = AVER and mZT = 83, mZR=32, TM = 10, RE = 14.Complete the congruence statements and find the…

Q: A diagonal in a polygon is a line segment that is drawn from a vertex to a nonadjacent vertex. If n…

A: Polygon has n sides and therefore n vertices. So total possible lines we can make = nC2 Out of which…

Q: Prove the following both indirectly in paragraph form and also in a two column formal proof format:…

A: Let ABC be a triangle with sides AB, BC, and CA. Also, M is the mid-point of AB and mc is the median…

Q: Which theorem of triangle congruency can be used to prove that AABC = AADC? O A. Angle-Side-Angle O…

A: here option (D) is true.

Q: For numbers 21-22, consider oABCD.choose which condition justifies each given statement, which…

Q: The angle addition postulate can be used to demonstrate that AC = 16. %3D 11 O True O False

A: Given AB=5BC=11

Q: Given that NP bisects ZMNQ, state a conclusion involving mZMNP and mZPNQ. N

A: According to given figure if NP→ bisects ∠MNQ then m∠MNP=m∠PNQ

Q: The figure on the right shows three squares joined at their vertices to form a Siquare N right…

A: We have to solve given aptitude:

Q: Given that NP bisects ZMNQ, state a conclusion involving MZMNP and mZPNQ. M

A: Given figure is as shown below : Given, NP → bisects ∠MNQ This means NP → divides ∠MNQ in 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: The five leaves shown are all congruent,but one differs from the others. Whichone is different and…

A: Given that all are congruent. We shall number the leaves as follows.

Q: Write a two column proof. Given: PQRS is a rectangle Prove: AAEB= ADEC

Q: Use algebra to prove | (ka, kb)| = |k| • | (a, b)|.

A: To prove: |(ka , kb)| = |k|.|(a , b)| L.H.S = (ka , kb) = k(a, b) . .…

Q: 23. In the following figure we know that statement 1 and 2. If we want to prove that statement 4,…

Q: Given that AB =4x+8 and BC=2x+3, and AC is 77. What is "x"? Only use number answers. Use the segment…

A: Given, AB=4x+8, BC=2x+3 and AC=77 AB+BC=AC

Q: In ANOP, NP is extended through point P to point Q, mZOPQ = (6x – 15)°, m/PNO = (2x + 18)°, and…

A: We have to find x

Q: For numbers 1-5, consider o ABCD. Choose which condition justifies each given statement, which…

Q: The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the…

A: a) Given that, Interior angle = n-2180n As exterior angle is supplement of interior angle. Means…

Q: 4b) Sc) Glven MLABE = 120°, use the Angle Additlon Postulate to select select the true statement, E…

Q: Quadrilateral LMNO is reflected over the line as shown, resulting in quadrilateral CDAB. Given the…

A: Observing from given figure we have

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

Q: Prove that the sum of the interior angles of a convex n-gon is (n-2)-180°. (A convex n-gon is a…

Q: From the information given, can you prove the two triangles congruent using the SSS Congruence…

A: Here in 1st triangle MON and 2nd triangle RTS, Traingle MON ~ Traingle RTS because, Here side MO ~…

Q: Which of the following is FALSE about polygon? If the exterior angles of a regular exterior angles…

Q: Which statement correctly identifies the segment addition postulate for A, B, and C? A O AB + AC =…

Q: The triangle sum theorem states that every triangle contains three angles that each measure 180°. O…

Q: A midsegment in a triangle divides the triangle into two smaller triangles that are each similar to…

A: We have to identify the statement is true or false. For this we will use midpoint theorem and…

Q: 4. ΔΗΟΡ Η

A: Since we are given with the multiple number of question and answered according to the guideline.

Q: In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into…

Q: In ANOP, NP is extended through point P to point Q, mZNOP= (3x + 8)°, MZPNO = (2x + 9)°, and mZOPQ =…

A: To find the value of x

Q: In a parallelogram, both pairs of opposite sides are congruent. O True O False

Q: In A ABC, segment DC bisects Z C and divides AB into segment AD and BD. If CD = 6 units and AC =…

Q: If i and i are in R™, then –i is in span {ū, 3}. |

Q: If AFGH = AIJK, which segment is congruent to FG? HF O JK GH

Q: Can you prove these shapes are congruent? 139 139 419 419 41 139 139 True False

A: Check for the conference of both the shape.

Q: Brooke wants to prove that A PQT = A RQS by the Side-Angle-Side congruence postulate. In Brooke's…

A: Brooke wants to prove ∆PQT≅∆RQS by Side-Angle-Side congruence postulate. In Side-Angle-Side…

Question

When writing a proof of the segment addition postulate where AB = 18, substitution can be used to replace the term AB in with the number 18.
O True
O False
MacBook Air

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

The Segment-Addition Postulate can be generalized as follows: The length of a line segment equals the sum of the length of its parts. State a general conclusion regarding AE based on the following figure.
Prove the Extended Segment Addition Property by using the Drawing, the Given and the Prove that follow. Given: MNPQ on MQ Prove: MN+NP+PQ=MQ
In a right triangle, the sides that form the right angle are the legs; the longest side opposite the right angle is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that?
When can a theorem be cited as a reason reason in a proof?
Determine the length of C.
Which of the following statements would you prove by the indirect method? a If ACAB in ABC, then mBmC. b If AC=AB in ABC, then mB=mC. c If RSTV is not a square, then RSST. d An angle has exactly one bisector.
In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove: 2 is acute PROOF Statements Reasons 1. 1 and 2 are complementary 1. ? 1 2. m1+m2=90 2. ? 3. 1 is acute 3. ? 3 4. Where m1=x, 0x90 4. ? 2 5. x+m2=90 5. ? 5 6. m2=90x 6. ? 4 7. x090x 7. ? 7 8. 90x90180x 8. ? 7, 8 9. 090x90 9. ? 6, 9 10. 0m/290 10. ? 10 11. 2 is acute 11. ?
To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof should read: Suppose that ___________ is true.
In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove: 2 is also acute PROOF Statements Reasons 1. 1 and 2 are complementary 1. ? 1 2. m1+m2=90 2. ? 3. 1 is acute 3. ? 3 4. Where m1=x, 0x90 4. ? 2 5. x+m2=90 5. ? 5 6. m2=90x 6. ? 4 7. x090x 7. ? 7 8. 90x90180x 8. ? 7, 8 9. 090x90 9. ? 6, 9 10. 0m/290 10. ? 10 11. 2 is acute 11. ?