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Which statement is true? # B F H G

Which statement is true? # B F H G

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
Problem 13PS
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**Question:** Which statement is true? **Diagram Description:** The image contains a diagram of two intersecting lines forming eight angles around the point of intersection, which is labeled as point E. The lines are not labeled specifically, but the points on them are labeled as follows: - Points A, B, E, F, and G are aligned along one line. - Points H, B, E, C, and D are aligned along the other line extending upwards. **Question Options:** - **Option 1:** ⃞ ∠FEG and ∠DEB are same-side interior angles. - **Option 2:** ⃞ ∠CBE and ∠DEB are same-side interior angles. - **Option 3:** ⃞ ∠CBE and ∠DEB are alternate angles. - **Option 4:** ⃞ ∠FEG and ∠CBE are alternate angles. **Explanation of Angles:** In the diagram: - Angles that share the same side and lie on the inside of the lines are referred to as same-side interior angles. - Angles that are on opposite sides of the transversal and lie on the inside of the lines are referred to as alternate interior angles. **Correct Answer:** Option 2: ∠CBE and ∠DEB are same-side interior angles. Explanation: - ∠CBE and ∠DEB lie on the same side of the line intersecting the parallel lines and are on the interior side of these lines, making them same-side interior angles.
Transcribed Image Text:**Question:** Which statement is true? **Diagram Description:** The image contains a diagram of two intersecting lines forming eight angles around the point of intersection, which is labeled as point E. The lines are not labeled specifically, but the points on them are labeled as follows: - Points A, B, E, F, and G are aligned along one line. - Points H, B, E, C, and D are aligned along the other line extending upwards. **Question Options:** - **Option 1:** ⃞ ∠FEG and ∠DEB are same-side interior angles. - **Option 2:** ⃞ ∠CBE and ∠DEB are same-side interior angles. - **Option 3:** ⃞ ∠CBE and ∠DEB are alternate angles. - **Option 4:** ⃞ ∠FEG and ∠CBE are alternate angles. **Explanation of Angles:** In the diagram: - Angles that share the same side and lie on the inside of the lines are referred to as same-side interior angles. - Angles that are on opposite sides of the transversal and lie on the inside of the lines are referred to as alternate interior angles. **Correct Answer:** Option 2: ∠CBE and ∠DEB are same-side interior angles. Explanation: - ∠CBE and ∠DEB lie on the same side of the line intersecting the parallel lines and are on the interior side of these lines, making them same-side interior angles.
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