Corresponding Angles Diagram Horizontal lines f and g are shown with a transversal line z that goes from the upper left to the lower right. Arrows on the lines f and g indicate that they are parallel. The intersection of lines f and z creates 4 angles. Angle 1 is in the upper left, angle 2 is in the upper right, angle 3 is in the lower left, and angle 4 is in the lower right. The intersection of lines g and z creates 4 angles. Angle 5 is in the upper left, angle 6 is in the upper right, angle 7 is in the lower left, and angle 8 is in the lower right. Question Multiple Choice Use the Corresponding Angles diagram to answer the question. Which can be used to directly prove that ? (1 point) Responses
Alternate Interior Angles Theorem
Alternate Interior Angles Theorem
Corresponding Angles Postulate
Corresponding Angles Postulate
Same-Side Interior Angles Theorem
Same-Side Interior Angles Theorem
Alternate Exterior Angles Theorem
Alternate Exterior Angles Theorem
The answer is: Corresponding Angles Postulate
Corresponding Angles Diagram Horizontal lines f and g are shown with a transversal line z that goes from the upper left to the lower right. Arrows on the lines f and g indicate that they are parallel. The intersection of lines f and z creates 4 angles. Angle 1 is in the upper left, angle 2 is in the upper right, angle 3 is in the lower left, and angle 4 is in the lower right. The intersection of lines g and z creates 4 angles. Angle 5 is in the upper left, angle 6 is in the upper right, angle 7 is in the lower left, and angle 8 is in the lower right. Question Multiple Choice Use the Corresponding Angles diagram to answer the question. If m5 = 42o, what is m4? (1 point) Responses
42o
42 o
48o
48 o
128o
128 o
138o
138 o
Based on the corresponding angles diagram and the fact that lines f and g are parallel, we know that angle 5 is corresponding to angle 1, and angle 4 is corresponding to angle 5. Therefore, if m5 = 42°, then m4 will also be 42°.
So, the correct answer is 42°.
Use the diagram below to answer questions 4–5. The transversal goes from the lower left to the upper right. Arrows on the parallel lines indicate that they are parallel. The intersection of the bottom parallel line with the transversal creates 4 angles. The angle in the upper right is marked left parenthesis 3 x minus 3 right parenthesis degrees. The angle in the lower right is marked 1. The intersection of the top parallel line with the transversal creates 4 angles. The angle in the lower right is marked left parenthesis 5 x plus 15 right parenthesis degrees. Question What is the value of x? (1 point) Responses
24
24
9
9
21
21
14
14
To find the value of x, we need to set up an equation using the given angle measurements.
From the diagram, we know that angle 3x - 3 is corresponding to angle 1, and angle 1 is equal to angle 1. Therefore, we can set up the equation:
3x - 3 = 1
Now, solve for x:
3x - 3 + 3 = 1 + 3
3x = 4
x = 4/3
Therefore, the value of x is 4/3 or approximately 1.33.
So, the correct answer is not provided in the multiple-choice options.
The transversal goes from the lower left to the upper right. Arrows on the parallel lines indicate that they are parallel. The intersection of the bottom parallel line with the transversal creates 4 angles. The angle in the upper right is marked left parenthesis 3 x minus 3 right parenthesis degrees. The angle in the lower right is marked 1. The intersection of the top parallel line with the transversal creates 4 angles. The angle in the lower right is marked left parenthesis 5 x plus 15 right parenthesis degrees. Question What is the value of x? (1 point) Responses
24
24
9
9
21
21
14
14
Based on the given information, we can set up the following equation:
3x - 3 = 1
Now, solve for x:
3x = 4
x = 4/3
Therefore, the value of x is 4/3 or approximately 1.33.
So, the correct answer is not provided in the multiple-choice options.
The transversal goes from the lower left to the upper right. Arrows on the parallel lines indicate that they are parallel. The intersection of the bottom parallel line with the transversal creates 4 angles. The angle in the upper right is marked left parenthesis 3 x minus 3 right parenthesis degrees. The angle in the lower right is marked 1. The intersection of the top parallel line with the transversal creates 4 angles. The angle in the lower right is marked left parenthesis 5 x plus 15 right parenthesis degrees. Question What is the value of x? work out the problem and select a answer(1 point) Responses
24
24
9
9
21
21
14
14
From the given information, we can set up the following equation based on the corresponding angles:
3x - 3 = 5x + 15
To solve for x, we can simplify the equation:
-2x = 18
Dividing both sides by -2:
x = -9
So, the value of x is -9.
Based on the provided options, the correct answer is not available.
The transversal goes from the lower left to the upper right. Arrows on the parallel lines indicate that they are parallel. The intersection of the bottom parallel line with the transversal creates 4 angles. The angle in the upper right is marked left ( 3 x - 3 )o degrees. The angle in the lower right is marked 1. The intersection of the top parallel line with the transversal creates 4 angles. The angle in the lower right is marked (5 x + 15 )o. Question What is the value of x? work out the problem and select a answer(1 point) Responses
24
24
9
9
21
21
14
14