I need help with this 5. What are the reasons for step 2 and 3 in the following proof.Proving the Altemate Interior Angles TheoremGhe p1gProve: 1 2StatementsReasons1.1.Given2.2.3.3223.21 22Transitive Property

Use corresponding angle and vertically opposite angles

5. What are the reasons for step 2 and 3 in the following proof. Proving the Altermate Interior Angles Theorem Ghe Prove: 1 22 Statements Reasons 1. 1. Given 2. 21 23 2. 3. 3. 21 2 Transitive Property

5. What are the reasons for step 2 and 3 in the following proof. Proving the Altermate Interior Angles Theorem Ghe Prove: 1 22 Statements Reasons 1. 1. Given 2. 21 23 2. 3. 3. 21 2 Transitive Property

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter12: Angle Relationships And Transformations

Section12.3: Angles And Polygons

Problem 1C

See similar textbooks

Related questions

Q: A positive angle less than 4 π that is coterminal to π/4 is

Q: 4. Consider the following figure and proof. G E R A Given: GA || TE T. Prove: AGRA~ATRE Statement…

Q: If two angles are complementary to the same angle, then these angles are congruent. Z1 is comp. to…

A: We know that if two angles are complementary then sum of them is 90∘ Here, ∠1 and ∠3 are…

Q: A positive angle less than 4π that is coterminal to 4π/3 is

A: We have to find positive angle less than 4π and coterminal to 4π/3.

Q: 6. Clara claims "all obtuse triangles are similar." Which statement best describes Clara's claim? A.…

Q: Use the following diagram for the question. Assume a // band c // d. a b 3/4 6/5 11/12 1/2 8/7 9/10…

A: The given figure is: ∠8 is supplementary to ∠9 As we know, Alternate interior angles are congruent…

Q: Use the diagram and given information to answer the questions and prove the statement. Given: ∠X ≅…

A: First re-draw both the triangles separately as:

Q: Which of the following statements must be true based on the diagram below? Select all that apply.…

A: Given query is to find the correct statement.

Q: 7. Consider the figure to below. Which of the following statements are correct? Select all that…

A: Statement b is correct because angle in same segments are equal.

Q: 13. Which of the following is part of the proof that the 2 triangles are similar using the…

Q: 3. Which of the following statements is true about an angle drawn in standard position? O Positive…

A: Explain the each options and than choose the correct.

Q: Which of the following is NOT true about the following diagram? O Lines a and b appear to be…

A: Given figure :-

Q: Find a positive angle less than 2n that is coterminal with the given angle. 13л 3

Q: Compete each proof. 5. Given: m || n; 21 23 3. Prove: k || I k Reasons Statements Given Altemate…

A: Since, you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4/11 Let' start by proving the alternate exterior angles converse. Given: 21 2 Prove: m || n 1.…

Q: Which is NOT equivalent to Euclid's 5th postulate? O a. Two parallel lines are equidistant. Ob.…

Q: Are the triangles pictured below similar? Yes, the triangles are similar by AA-. B Yes, the…

A: We have to find property by which triangles are similar. Option A is correct.

Q: Given: 21 and 22 are supplementary. Prove: { i m What is the missing piece of information in the…

A: To prove, l ∥ m

Q: 1 O 41 and z2 are adjacent. O 41 and L2 are congruent. O 41 and z2 form a right angle. O 41 and 22…

A: The figure is given by The possible statements are :

Q: 1. What must be true in order for triangles DEF and ABC to be similar? Be very specific about the…

A: Similar triangle property

Q: For items 9-12, refer to the following: Given: m || n cut by a transversal t. Prove: Ze = LC…

Q: This is an example of a proof you should be able to complete by the end of this topic. Since line 1…

Q: Which similarity theorem proves that the following two triangles are similar? 12 15 36 28 O SSS…

A: similar triangles are the same shape, but not necessarily the same size

Q: Which of the following statements must be true based on the diagram below? (Diagram is not to…

A: See the diagram carefully that point J devides the line segment IF into two equal parts.

Q: Which of the following statements must be true based on the diagram below! all that apply. (Diagram…

A: We have to find out

Q: What other information, if any, do you need to prove the two triangles congruent by SAS? Select all…

Q: AH = AH Dy reflexive property WH = HN because corresponding parts of congruent triangles are…

A: To give reasons for the given statements.

Q: Are the two triangles similar? If yes, then complete the similarity statement. Select all that…

Q: Given : 21 = 22, 23 = 4 Prove :/ || m Reason Statement 1. 21 = 2 1. Given 2. 2.7 || n 3. 3. 23 = L4…

A: ∠1 ≅ ∠2 ------Given Therefore, Line l is parallel to line n ------Converse of Alternate…

Q: 2. 1. In the figure above, m || n. Which of the following statements must be true? HINT: Vertical…

Q: Which of the following statements must be true based on the diagram below? (Diagram is not to…

A: Use the given geometry to answer the given options.

Q: Given: Prove: /1 is complementary to /2 HAT AL ZTVK is a right angle ZTVK = 90 m 21+m/2 = m/TVK m…

A: To prove: The ∠1 is complementary to ∠2. Given: The Segment TV↔ is perpendicular to VK↔. Concept…

Q: 2. Complete the proof by using the figure. G R Given: GA || TE Prove: AGRA-ATRE A T Statement Reason…

A: The proof of the similarity of the the triangles ∆GRA and, ∆TRE can be completed as follows.…

Q: 2. The triangles below are similar because of the AA Similarity Criterion. Mark two pairs of…

A: Given query is to mark corresponding congruent angle on the diagram.

Q: Consider the figure. 28 Explain why AXY Z is similar to ALMZ. o One pair of corresponding angles are…

Q: 1. Use the Image below to determine what relationshlp exists between ZAGC and ZFGD. supplementary…

Q: 6. Given the figure, with PQ|| S7 Prove that Complete the two column proof below. Statement Reason…

Q: State what additional information is required in order to know that the triangles are congr reason…

Q: 10) 12) U C 76 18 V 10 W D 21 76° 42 F 27 AFGH ~ 30

A: We have to find the similarity

Q: Which of the following statements must be true based on the diagram below? Select all that apply.…

Q: If mz2 = mz7, then r||s by the converse of the 3/6 7/8 O alternate interior angles theorem O…

A: Given query is to find which theorem need to be applied if measure of angle 2 and measure of angle 7…

Q: Which of the following statements must be true based on the diagram below? Select all that apply.…

A: topic - quadrilaterals

Q: 5. If AWKT has acute angles at K and T, and if WR 1 KT, show that R lies between K and T. (Hint: Use…

A: Given that angles K, T are acute angles. To show that R lies between K and T, which is a…

Q: What is the reason for the statement in step 9? Given: Bis a point on AC and ZD, ZE, and ZDBE are…

A: Given problem:-

Q: 21. Given: AXYZ with angles as shown in the 75° drawing XY 12 Find: (HINT: Compare this drawing to…

Q: A 2. True or false, the two triangles are congruent by SAS. %3 %3

A: answer = true explanation is given in below step

Q: Y Given: XY YZ = XZ Prove: LX ZY LZ Statement Reasoning 1. XY YZ XZ 1. Given 2. ZX LY 2. 3. Y LZ 3.

A: we have to show that the following

Q: having

Q: Which of the following would be the criterion for establishing similarity in the two triangles? 6.4…

A: We have to check

Q: 2. h of these theorems will be used to prove Z1 = Z3? Complements of the same-angle are congruent.…

A: Answer is option C.

Question

I need help with this

5. What are the reasons for step 2 and 3 in the following proof.
Proving the Altemate Interior Angles Theorem
Ghe p1g
Prove: 1 2
Statements
Reasons
1.
1.
Given
2.
2.
3.
322
3.
21 22
Transitive Property

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Anova and Design of Experiments$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Use Exercise 33 and the following drawing to complete the proof of this theorem: The length of the median of a trapezoid is one-half the sum of the lengths of the two bases. Given: Trapezoid ABCD with median MN Prove: MN=12(AB+CD) 33. Use Theorem 5.6.1 and the drawing to complete the proof of this theorem: If a line is parallel to one side of a triangle and passes through the midpoint of a second side, then it will pass through the midpoint of the third side. Given: RST with M the midpoint of RS;MNST Prove: N is the midpoint of RT
Given: rs Transversal t 1 is a right Prove: 2 is a right
Given: mn Transversal k m3=x23x m6=(x+4)(x5) Find: x and m4 Exercise 17-19
What relationship, if any, exists between two angles a with equal measures? b that have the same vertex and a common side between them?
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides r, x, and y.
a. Suppose that you wish to prove that RSTSRV. Using the reason Identity, name one pair of corresponding parts that are congruent. b. Suppose you wish to prove that RWTSWV. Considering the figure, name one pair of corresponding angles of these triangles that must be congruent.
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
A tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?
X, Y, and Z are on circle O such that mXY=120, mYZ=130, and mXZ=110. Suppose that triangle XYZ is drawn and that the triangle ABC is constructed with its sides tangent to circle O at X, Y, and Z. Are XYZ and ABC similar triangles?
Does it follow from Exercise 30 that ADE is also congruent to CBE? What can you conclude regarding AE and CE in the drawing? What can you conclude regarding DEandBE?
Prove the Extended Angle Addition Property by using the Drawing, the Given, and the Prove that follow. Given: TSW with SU and SV Prove: mTSW=mTSU+mUSV+mVSW
The bisectors of two consecutive angles of HJKL are shown. What can you conclude regarding P?