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2026 Statistics
Key Facts: Castilla-La Mancha PAU Technical Drawing II (Dibujo Técnico II - UCLM 2026) Exam
90 min
Official PAU Technical Drawing II exam duration
Tribunal PAU Universidad de Castilla-La Mancha
0–10
Grading scale (minimum 4.0 to be weighted)
Normativa Académica UCLM
52.99 €
Base registration fee for the UCLM Access Phase
UCLM 2026
100
Practice questions in this assessment bank
OpenExamPrep
Prepare for the UCLM 2026 PAU Technical Drawing II exam with 100 high-quality practice questions covering plane geometry, dihedral projections, axonometric views, and technical normalization standards. This English-language multiple-choice bank is a study adaptation of the official written PAU paper, not a replica of it.
Sample Castilla-La Mancha PAU Technical Drawing II (Dibujo Técnico II - UCLM 2026) Practice Questions
Try these sample questions to test your Castilla-La Mancha PAU Technical Drawing II (Dibujo Técnico II - UCLM 2026) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1What is the intersection point of the three perpendicular bisectors of the sides of a triangle called?
A.Circumcenter.
B.Incenter.
C.Orthocenter.
D.Centroid.
Explanation: The circumcenter is the point where the three perpendicular bisectors of the sides of a triangle intersect, and it is the center of the circumscribed circle (circumcircle).
2What geometric property characterizes the points belonging to an arc of a constant angle α (arc capable of angle α) subtended by a segment AB?
A.The sum of the distances from any point on the arc to A and B is constant.
B.From any point on the arc, segment AB is viewed under the same angle α.
C.The product of the distances from any point on the arc to A and B is constant.
D.From any point on the arc, segment AB is viewed under an angle of 90° - α.
Explanation: By definition, the arc of a constant angle α (arc capable) for a segment AB is the locus of points from which segment AB is subtended under a constant angle α.
3In a plane homology transformation defined by center O, axis e, and a pair of homologous points A and A', what happens to two parallel lines r and s?
A.They always transform into two parallel lines.
B.Their homologous lines r' and s' intersect at a point located on the vanishing line (línea límite).
C.They transform into two concentric circles.
D.Their homologous lines intersect at a point located on axis e.
Explanation: In plane homology, parallel lines intersect at a point at infinity, whose homologous image is a point on the vanishing line. Therefore, their homologous lines intersect at that point on the vanishing line.
4In a plane homothety with center O and scale factor k = -2, how does the resulting figure compare to the original figure?
A.It is smaller and maintains the same orientation.
B.It is twice as large, rotated 90°, and inverted.
C.It is twice as large and inverted (rotated 180°) with respect to the center O.
D.It preserves the exact same size and orientation.
Explanation: Since the scale factor k is negative (|k| = 2), distances are multiplied by 2 and homologous points lie on opposite sides of center O, resulting in an inverted figure (rotated 180°).
5What is the radical axis of two non-concentric circles?
A.The locus of points in the plane that have equal power with respect to both circles.
B.The straight line connecting the centers of both circles.
C.A circle whose radius is the geometric mean of the radii of both circles.
D.The straight line that divides both circles into regions of equal area.
Explanation: The radical axis is defined as the locus of points in the plane having equal power with respect to two given circles. It is always a straight line perpendicular to the line connecting their centers.
6How many radical axes intersect to determine the radical center of three non-collinear circles?
A.One.
B.Three radical axes that concur at a single point.
C.Four radical axes.
D.Two exterior tangent lines.
Explanation: The three radical axes formed by considering the circles in pairs concur at a single point known as the radical center.
7What is the definition of the locus of points that forms an ellipse?
A.Points whose difference of distances to two fixed points (foci) is constant.
B.Points whose distance to a fixed point (focus) equals their distance to a fixed line (directrix).
C.Points whose sum of distances to two fixed points (foci) is constant and equal to 2a.
D.Points whose product of distances to two foci is a given constant.
Explanation: An ellipse is the locus of points P in the plane such that the sum of their distances to two fixed points F and F' (foci) is constant and equal to the length of the major axis (2a).
8What is the eccentricity e of a parabola?
A.e = 0.
B.0 < e < 1.
C.e = 1.
D.e > 1.
Explanation: By the focal definition of a conic, the eccentricity of a parabola is exactly e = 1, since any point on it is equidistant from the focus and the directrix (d(P,F)/d(P,d) = 1).
9In dividing a segment AB in extreme and mean ratio (golden section), what is the approximate numerical value of the golden ratio Φ?
A.1.414.
B.1.732.
C.2.718.
D.1.618.
Explanation: The golden ratio is mathematically expressed as Φ = (1 + √5) / 2 ≈ 1.61803398...
10In any triangle, the sum of interior angles is 180°. How are the orthocenter and circumcenter located in an obtuse triangle?
A.Both points lie outside the triangle.
B.The orthocenter lies inside and the circumcenter lies outside.
C.The circumcenter lies on the hypotenuse and the orthocenter at the vertex of the obtuse angle.
D.Both points lie exactly at the midpoint of the longest side.
Explanation: In an obtuse triangle, both the orthocenter and the circumcenter lie outside the region of the triangle: the circumcenter lies outside facing the obtuse angle, and the orthocenter lies outside behind the vertex of the obtuse angle.
About the Castilla-La Mancha PAU Technical Drawing II (Dibujo Técnico II - UCLM 2026) Practice Questions
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