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Zorluk: KolayLines and Angles

A drafter is reviewing a set of architectural plans. Connect each described geometric condition with its correct mathematical term.

  • Two angles whose sum is exactly 180∘180^\circSupplementary angles
  • Two angles whose sum is exactly 90∘90^\circComplementary angles
  • A pair of opposite, equal angles formed by two intersecting linesVertical angles
  • Two straight lines that intersect to form a right anglePerpendicular lines

Cevap

Two angles summing to 180∘180^\circ match with Supplementary angles; two angles summing to 90∘90^\circ match with Complementary angles; opposite equal angles match with Vertical angles; lines forming a right angle match with Perpendicular lines.
Each definition precisely matches the fundamental geometric axioms for angles and lines. Recognizing these definitions is essential for solving more complex geometry problems.

Adım Adım Çözüm

1
Identify the geometric term for two angles whose sum is exactly 180∘180^\circ.
Supplementary angles
By geometric definition, a pair of angles that add up to 180∘180^\circ (forming a straight line if adjacent) are supplementary.
2
Identify the geometric term for two angles whose sum is exactly 90∘90^\circ.
Complementary angles
By geometric definition, a pair of angles that add up to 90∘90^\circ (forming a right angle if adjacent) are complementary.
3
Identify the term for the opposite angles created when two lines intersect.
Vertical angles
Intersecting lines create two pairs of non-adjacent, opposite angles known as vertical angles, which are congruent.
4
Identify the term for straight lines that intersect to form a right angle.
Perpendicular lines
When lines intersect at exactly 90∘90^\circ, they are defined mathematically as perpendicular.

Anahtar Kavram

Basic terminology for angle relationships and line intersections
Tahmini Süre:45s
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Konular

Lines and Angles

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