In Unit 1, Fundamentals, of Investigating Geometry Online ...



Directions: Complete the sentences below based on the Powerpoints Lesson 1-1 and Lesson 1-2, and the links:

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1-1 (e-zgeometry 1-2, regentsprep)

Undefined Terms: Undefined terms are terms that we d________________ but don’t really define. There are t________________ of them.

1. Point: A point has no l________________, width, thickness, size, shape, smell or taste. It is just a place in s________________.

2. Line: A line is s________________ and goes on f________________ in two opposite directions. It has no th________________.

3. Plane: A plane is a f________________ surface that goes on forever in all d________________. It has no thickness.

1-1 (e-zgeometry 1-2, regentsprep)

Definitions:

Collinear: Collinear objects are o________________ which lie on the same l________________.

Coplanar: Coplanar objects are o________________ which lie on the same p________________.

Intersection: The intersection of two objects is the p________________ in common to both objects. It consists of t________________ points where the two objects t________________.

Intersect: Two objects intersect if they have any points in c_______________. Two objects intersect if they t________________.

1-2 (e-zgeometry 1-4)

More Definitions:

Segment: A segment is a piece of a l________________. It is two points a________________ all of the points between t________________. The two p________________ are called endpoints.

Between: A point C is between two points A and B if A, B, and C are c________________ and C lies on the s_______________ [pic].

Congruent: Two segments are congruent if their l_______________ are equal.

1-2 (e-zgeometry 1-4)

Postulates: A postulate is a statement that we assume is true without proof.

The Ruler Postulate: TheRulerPostulate tells us we can use a r_______________ to measure the d_______________ between two points. It also tells us how to f______________ the distance.

The Segment Addition Postulate:

If C is between A and B, then AC + CB = AB.

If AC + CB = AB, then C is between A and B.

This just means, “p______________ + p_______________ = w_______________”

1-2 (Lesson 1-2 powerpoint)

More Postulates:

Through any two points there is exactly one l_______________.

Through any three non-collinear p_____________ there is exactly one p_____________.

If t_____________ planes intersect, then the i_______________ is a l_______________.

1-2 (e-zgeometry 1-5)

More Definitions:

Midpoint: A midpoint is a p_______________ that divides a segment into two c_______________ segments.

The midpoint of a s_______________ [pic] is the point M between A and B such t_______________ AM = MB.

Segment Bisector: A segment bisector is an o_______________ that divides a segment into t_______________ congruent segments.

1-2 (e-zgeometry 1-6, Lesson 1-2 powerpoint)

More Definitions:

Ray: A ray is a part of a l_______________ that has only one e_______________.

Opposite Rays: Opposite rays are two rays with the same endpoint that together form a line.

1-3 (e-zgeometry 3-3, Lesson 1-3 powerpoint)

More Definitions:

Slope: In a coordinate p______________, the slope of a l______________ is the ratio of its vertical rise o_______________ its horizontal run.

1-4 (e-zgeometry 1-6, Lesson 1-4 powerpoint)

More Definitions:

Slope: In a coordinate p______________, the slope of a l______________ is the ratio (fraction) of its rise o_______________ its run.

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