The image contains notes written in French about geometric transformations, specifically "glissement" which translates to "sliding" or "translation". The notes describe properties of translations related to angles, lines, and parallel lines. The questions/statements given are incomplete.
2025/4/1
1. Problem Description
The image contains notes written in French about geometric transformations, specifically "glissement" which translates to "sliding" or "translation". The notes describe properties of translations related to angles, lines, and parallel lines. The questions/statements given are incomplete.
2. Solution Steps
Statement 4 says: "Par un glissement, le correspondant d'un angle est un angle de même mesure."
Translation: "By a translation, the correspondent of an angle is an angle of the same measure."
Statement: "Le correspondant d'une droite par un glissement est une droite..."
Translation: "The correspondent of a line by a translation is a line..."
Statement: "A par un glissement et B par le même glissement alors (CD) est le correspondant de (AB) par ce glissement."
Translation: "A by a translation and B by the same translation then (CD) is the correspondent of (AB) by this translation." This means if we translate A to C and B to D by the same translation, the line segment AB is translated to line segment CD.
Statement 7: "Les correspondants par un glissement de deux droites parallèles sont deux droites parallèles."
Translation: "The correspondents by a translation of two parallel lines are two parallel lines."
Statement 8 is incomplete: "Les correspondants par un glissement de..."
Translation: "The correspondents by a translation of..."
Based on these statements about translations:
1. Translations preserve the measure of angles.
2. The image of a line under a translation is a line.
3. Translations map line segments to line segments.
4. Translations preserve parallelism.
3. Final Answer
The image describes properties of translations (glissements in French). It states that translations preserve angle measures, map lines to lines, map line segments to line segments, and preserve parallelism. Statement 8 is incomplete.