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NY-G.CO.9
GeometryCongruence60 target questions

Prove theorems about lines and angles: vertical angles are congruent; when a transversal crosses parallel lines alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector are equidistant from the segment's endpoints.

Sample Practice Questions (3)

1
In the diagram shown, line is parallel to line , and they are cut by transversal . If the measure of an alternate interior angle is and its corresponding alternate interior angle is , what is the value of ?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y l m t
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Multiple choice · diagramSee Answer + Explanation →
2
In the figure below, parallel lines and are intersected by transversal . If the measures of two consecutive interior angles are represented by and , find the value of .
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y p q r
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Multiple choice · diagramSee Answer + Explanation →
3
In the figure shown, line is parallel to line . A triangle is formed by two transversals. If the top angle of the triangle is and one of the alternate interior angles formed with is , what is the measure of the third interior angle of the triangle?
-5 -4 -3 -2 -1 1 2 3 4 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 x y L1 L2 t1 t2
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Multiple choice · diagramSee Answer + Explanation →
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More Geometry Standards

NY-G.CO.1Know precise definitions of angle circle perpendicular line parallel line and line segment based on the undefined notions of point line distance along a line and distance around a circular arc.→NY-G.CO.2Represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.→NY-G.CO.3Given a rectangle parallelogram trapezoid or regular polygon describe the rotations and reflections that carry it onto itself.→NY-G.CO.4Develop definitions of rotations reflections and translations in terms of angles circles perpendicular lines parallel lines and line segments.→
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