Question: Complete the proof that when a transversal crosses parallel lines, corresponding angles are congruent. This proof uses the following theorem: When a transversal crosses parallel

Complete the proof that when a transversal crosses parallel lines, corresponding angles are congruent. This proof uses the following theorem: When a transversal crosses parallel lines, alternate interior angles are congruent. Statement Reason 1 AC | DF Given. 2 m/w+m/x - 180 These angles form a linear pair. 3 mzy+mZz -180 These angles form a linear pair. 4 m/w+ mzx V Substitution (2, 3). 5 mZx - mZy Alternate interior angles of parallel lines are congruent 6 myw+m/x Substitution (4, 5). 7 m/w = mzz Subtract myx from both sides of the equation (6)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

ABCD is a parallelogram Select the true statements used to prove that opposite angles of a parallelogram are congruent Select two A D a B Y 50 8 B C Za Zy because same side interior angles are...

Topic: Proving Lines Parallel or Perpendicular REF: Please please please answer it completely. Please Make sure your handwriting is legible. Please please please make it neat and understandable. Inx...

for help, Period: enVision Florida Name SawvarRealize Florida Standards Practice Week 4 Due Feb 4, 2022 These questions come from ch. 2 Answer 1. Use the following figure to answer 3. Based on the...

V. Activity Proper A. Directions: Put a check mark (V) on the space provided before each number if the given could be lengths of the sides of a triangle. If the lengths can't form a triangle, put an...

1. What are 5 properties of a parallelogram? 2. What is the Volume formula for each of the following? a. prism b. pyramid c. cylinder d. cone e. sphere 3. Draw a diagram for each that shows the...

D. If two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second, then the included angle of the...

Which of the following best completes the proof showing that AWXZ ~ AXYZ? X 12 We 16 9 Since XZ _ WY, angles WZX and XZY are both right angles and congruent. The proportion Postulate. shows the...

D Question 1 5.8 pts Which equation represents a line that is parallel to a line with the equation y - -z - 2? Oy = 35+6 Oy-4 - 50 Oy= =2+2 O y + 2 - -20 D Question 2 5.8 pts Suppose two lines are...

CHOOSE THE CORRECT ANSWER. D. 23 and 26 6. Which of the following statements is always true? A. All intersecting lines are parallel. B. Parallel lines are equidistant. C. Lines that intersect and...

CHOOSE THE CORRECT ANSWER. Pre-test Choose the letter of the correct answer. Write the chosen letter on a separate sheet of paper. 1. Which statement is not true? A. Perpendicular lines always form a...

Damien needs a new laptop, so he goes to the Laptop shop in the city. The salesperson tells Damien to buy the newest MacBook model as he can store all his work in the cloud rather than on the laptop....

For Problem 13.4 (a) Determine Es and Hs at the far field (b) Calculate the directivity of the dipole

A company acquires equipment by signing an interest - bearing note payable for $ 2 0 , 0 0 0 . The interest rate is realistic so the company will record ( Select all that apply. ) Multiple select...

2023 1040 form 1.Phillip and Claire are married and file a joint return. Phillip is self-employed as a real estate agent, and Claire is a flight attendant. Phillip and Claire have three dependent...