Glencoe Geometry Chapter 1 Practice – Concepts and Procedures Flashcards

Flashcards cover construction basics (copying segments, perpendicular bisectors, angle copying and bisectors), basic line/plane concepts (coplanar, collinear), distance and midpoint formulas, sample coordinate problems, and visualization mappings from the lesson.

How do you construct a line segment congruent to a given segment?

Copy the segment using a compass and straightedge to transfer its length.

What construction yields all points equidistant from the endpoints of a segment?

The perpendicular bisector of the segment.

How do you construct a copy of a given angle?

Use a compass and straightedge to transfer the angle’s measure to a new vertex.

What is an angle bisector?

A ray that divides an angle into two congruent angles.

What is the notation for the line through points T and P?

Line TP (written as the line through T and P).

What term describes points that lie in the same plane?

Coplanar.

What term describes points that lie on the same straight line?

Collinear.

What is the distance formula for two points (x1,y1) and (x2,y2)?

Distance = sqrt[(x2−x1)^2 + (y2−y1)^2].

What is the midpoint formula for two points (x1,y1) and (x2,y2)?

Midpoint = ((x1+x2)/2, (y1+y2)/2).

What does it mean for two line segments to be congruent?

They have equal length.

Which geometric term models a car antenna in the visualization activity?

A line.

Which geometric term models a library card in the visualization activity?

A plane.

What is the distance between K(2,3) and F(4,4)?

√5.

What is the distance between C(-3,-1) and Q(-2,3)?

√17.

What is the distance between Y(2,0) and P(2,6)?

6.

What is the distance between W(-2,2) and R(5,2)?

7.

What is the midpoint of T(3,1) and U(5,3)?

(4, 2).

What is the midpoint of J(-4,2) and F(5,-2)?

(0.5, 0).

If P is the midpoint of NQ and N=(2,0), P=(5,2), what is Q?

Q=(8,4).

For AB with AC:CB = 2:3 and A(1,2), B(7,6), what are the coordinates of C?

(3.4, 3.6) or (17/5, 18/5).

What is the internal division formula for a point C on AB dividing AB in ratio m:n?

C = ((nxA + mxB)/(m+n), (nyA + myB)/(m+n)).

What is the midpoint on a number line for endpoints a and b?

The coordinate is (a + b)/2.