QUESTION IMAGE
Question
- list all information given by the marks on the diagram. // anota toda la información que dan las marcas del diagrama.
Brief Explanations
- Right Angles (Perpendicular Lines): The marks at \( \angle RUV \) and \( \angle UVT \) (assuming the intersection of the horizontal and vertical lines) indicate that \( RU \perp UV \) and \( UV \perp VT \), so \( \angle RUV = 90^\circ \) and \( \angle UVT = 90^\circ \). Also, the mark at \( \angle UT S \) (or the angle at \( T \) between the slant line and the vertical line) might indicate another right angle, so the slant line is perpendicular to the vertical line, meaning \( \angle UT S = 90^\circ \).
- Congruent Segments: The tick marks on the horizontal segment (between \( U \) and \( V \)) and the vertical segment (below \( T \)) indicate that the segments are divided into congruent parts. For the horizontal line, the segments between the ticks are congruent, and for the vertical line, the segments between the ticks (below \( T \)) are congruent. Also, the segment \( US \) (from \( U \) to \( S \) on the vertical line) – wait, actually, the tick marks on the horizontal line (between \( U \) and \( V \)): if there are two ticks, it means the segments are equal, so \( UV \) is divided into two congruent parts? Wait, looking at the diagram, the horizontal line has two ticks between \( U \) and \( V \), so the segments between the ticks are congruent. Similarly, the vertical line below \( T \) has three ticks, so the segments between those ticks are congruent. Also, the mark at \( R \) and the other point (maybe \( U \) to \( R \)) – no, \( R \) is a point on the horizontal line, \( U \) is another, so \( RU \) is a segment. Wait, maybe:
- The right angle marks: \( \angle RUV \) and \( \angle UVT \) are right angles (so \( RU \perp UV \) and \( UV \perp VT \), hence \( RU \parallel VT \) as both are perpendicular to \( UV \)). Also, the angle at \( T \) between the slant line and the vertical line is a right angle, so the slant line is perpendicular to the vertical line.
- Congruent segments: The tick marks on the horizontal line (between \( U \) and \( V \)): if there are two ticks, the segments are equal (e.g., \( U \) to the first tick, first to second, second to \( V \) – but maybe two ticks mean two congruent segments? Wait, standard tick marks: same number of ticks mean congruent segments. So the horizontal segment from \( U \) to \( V \) has two ticks, so the parts are congruent. The vertical segment below \( T \) has three ticks, so those parts are congruent. Also, the segment \( ST \): is \( S \) a point on the vertical line, so \( ST \) is a segment, but maybe the marks on the angles: the two right angle marks (at \( U \) and \( T \)) indicate that \( \angle RUV \cong \angle UT S \) (both right angles).
- Also, the slant line: from \( U \) to \( T \), so \( UT \) is a segment. The right angle at \( U \) ( \( \angle RUV \)) and at \( T \) ( \( \angle UT S \)) imply that \( RU \parallel ST \) (since both are perpendicular to \( UV \) and \( UT \) respectively? Wait, maybe better to list:
- \( \angle RUV = 90^\circ \) (right angle, so \( RU \perp UV \)).
- \( \angle UVT = 90^\circ \) (right angle, so \( UV \perp VT \)).
- \( \angle UT S = 90^\circ \) (right angle, so \( UT \perp ST \)).
- The tick marks on \( UV \) (horizontal) indicate that the segments between the ticks are congruent (e.g., if two ticks, two congruent segments).
- The tick marks on the vertical segment below \( T \) indicate that the segments between the ticks are congruent (three ticks, three congruent segments).
- Also, \( RU \) is a segment, \( UV \) is a segment, \( VT \) is a segment, \( ST \) is a seg…
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- \( \angle RUV \), \( \angle UVT \), and \( \angle UTS \) are right angles ( \( \angle RUV = 90^\circ \), \( \angle UVT = 90^\circ \), \( \angle UTS = 90^\circ \) ), so \( RU \perp UV \), \( UV \perp VT \), and \( UT \perp ST \).
- The tick marks on segment \( UV \) (horizontal) indicate its sub - segments are congruent.
- The tick marks on the vertical segment below \( T \) indicate its sub - segments are congruent.