Geometric rules

Description

Includes rules for angles, lines, triangles, polygons and circles.
hannah.ingram14
Flashcards by hannah.ingram14, updated more than 1 year ago
hannah.ingram14
Created by hannah.ingram14 almost 8 years ago
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Resource summary

Question Answer
What is the geometric reason? Vertically opposite angles are equal.
What geometric rule is this? Adjacent angles on a straight line add to 180°.
Identify the geometric rule Angles at a point add to 360°.
What is the geometric reason? Corresponding angles on parallel lines are equal.
What is the geometric rule for this image? Alternate angles on parallel lines are equal.
Identify the rule for the image below. Co-interior angles on parallel lines add to 180°.
What is the geometric reason for this triangle? Angles in a triangle add to 180°.
Identify the rule for this triangle. The base angles of an isosceles triangle are equal.
Identify the geometric rule for this triangle. Each angle in an equilateral triangle is 60°.
What is the rule for this triangle? The exterior angle of a triangle equals the sum of the two interior opposite angles.
What is the geometric rule? Interior angles in a quadrilateral add up to 360°.
What is the geometric rule for the interior angles of this image? The interior angles of a polygon: Sum = 180(n-2)°, where n is the number of sides.
What is the rule for the exterior angles of this polygon? The exterior angles of a polygon add to 360°.
What is the rule? Base angles of an isosceles triangle formed from the radii of a circle are equal.
What is the geometric rule for this image? The angle at the centre is twice the angle at the circumference on the same arc.
What is the geometric rule? The angle in a semi-circle is a right angle (90°)
Identify the geometric rule for this image. Angles on the same arc are equal.
What is the geometric rule? Opposite angles of a cyclic quadrilateral add to 180°.
What is the rule for this image? The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.
Identify the rule for this image. The angle where the radius meets the tangent is 90°.
What is the geometric reason for this image? Tangents from a point to a circle are the same length.
Identify this geometric rule. The perpendicular from the centre to the chord bisects the chord.
What is the geometric reason for this image? The angle between a chord and a tangent is equal to the angle in the alternate (opposite) segment.
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