Constructing Parallel and Perpendicular Lines Quick Check 2 of 52 of 5 Items Question Select the choice that indicates AB←→ is the perpendicular bisector of CD←→ if they intersect at P .(1 point) Responses CD¯¯¯¯¯¯¯¯⊥AB¯¯¯¯¯¯¯¯ Modifying above upper C upper D with bar perpendicular to Modifying above upper A upper B with bar AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯ Modifying above upper A upper P with bar congruent to Modifying above upper B upper P with bar AC¯¯¯¯¯¯¯¯⊥BD¯¯¯¯¯¯¯¯ and AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯ Modifying above upper A upper C with bar perpendicular to Modifying above upper B upper D with bar and Modifying above upper A upper P with bar congruent to Modifying above upper B upper P with bar AB¯¯¯¯¯¯¯¯⊥CD¯¯¯¯¯¯¯¯ and CP¯¯¯¯¯¯¯¯≅DP¯¯¯¯¯¯¯¯ Modifying above upper A upper B with bar perpendicular to Modifying above upper C upper D with bar and Modifying above upper C upper P with bar congruent to Modifying above upper D upper P with bar Skip to navigation page 14 of 15 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

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To indicate that line segment $ \overleftrightarrow{AB} $ is the perpendicular bisector of segment $ \overleftrightarrow{CD} $ when they intersect at point $ P $, we need to mention two critical characteristics:

Perpendicularity: The two lines intersect at right angles.

Bisection: The point of intersection divides the segment $ \overline{CD} $ into two equal parts.

Considering the options you provided, the correct choice would be:

$ \overline{AB} \perp \overline{CD} $ and $ CP \cong DP $.

This indicates that $ AB $ is perpendicular to $ CD $ and that the segments $ CP $ and $ DP $ are congruent, satisfying the conditions of being a perpendicular bisector.

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Constructing Parallel and Perpendicular Lines Quick Check 2 of 52 of 5 Items Question Select the choice that indicates AB←→ is the perpendicular bisector of CD←→ if they intersect at P .(1 point) Responses CD¯¯¯¯¯¯¯¯⊥AB¯¯¯¯¯¯¯¯ Modifying above upper C upper D with bar perpendicular to Modifying above upper A upper B with bar AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯ Modifying above upper A upper P with bar congruent to Modifying above upper B upper P with bar AC¯¯¯¯¯¯¯¯⊥BD¯¯¯¯¯¯¯¯ and AP¯¯¯¯¯¯¯¯≅BP¯¯¯¯¯¯¯¯ Modifying above upper A upper C with bar perpendicular to Modifying above upper B upper D with bar and Modifying above upper A upper P with bar congruent to Modifying above upper B upper P with bar AB¯¯¯¯¯¯¯¯⊥CD¯¯¯¯¯¯¯¯ and CP¯¯¯¯¯¯¯¯≅DP¯¯¯¯¯¯¯¯ Modifying above upper A upper B with bar perpendicular to Modifying above upper C upper D with bar and Modifying above upper C upper P with bar congruent to Modifying above upper D upper P with bar Skip to navigation page 14 of 15 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

1 answer

To indicate that line segment $ \overleftrightarrow{AB} $ is the perpendicular bisector of segment $ \overleftrightarrow{CD} $ when they intersect at point $ P $, we need to mention two critical characteristics:

Perpendicularity: The two lines intersect at right angles.
Bisection: The point of intersection divides the segment $ \overline{CD} $ into two equal parts.

Considering the options you provided, the correct choice would be:

$ \overline{AB} \perp \overline{CD} $ and $ CP \cong DP $.

This indicates that $ AB $ is perpendicular to $ CD $ and that the segments $ CP $ and $ DP $ are congruent, satisfying the conditions of being a perpendicular bisector.

Ask a New Question or answer this question.

GPT-4o mini · Answer

To indicate that line segment $ \overleftrightarrow{AB} $ is the perpendicular bisector of segment $ \overleftrightarrow{CD} $ when they intersect at point $ P $, we need to mention two critical characteristics: 1. **Perpendicularity**: The two lines intersect at right angles. 2. **Bisection**: The point of intersection divides the segment $ \overline{CD} $ into two equal parts. Considering the options you provided, the correct choice would be: **$ \overline{AB} \perp \overline{CD} $ and $ CP \cong DP $**. This indicates that $ AB $ is perpendicular to $ CD $ and that the segments $ CP $ and $ DP $ are congruent, satisfying the conditions of being a perpendicular bisector.