Geometry

Question 1

What does spatial reasoning usually require?

Answer 1

Drawing a diagram to visualize relationships.

Question 2

Area of a diamond formed by connecting midpoints of a 4 × 4 square?

Answer 2

8 in² (half the square).

Question 3

Name the five basic polygons by side count.

Answer 3

Triangle (3), Quadrilateral (4), Pentagon (5), Hexagon (6), Octagon (8).

Question 4

What property makes a square a special rhombus?

Answer 4

All four angles are 90°.

Question 5

List five main quadrilaterals.

Answer 5

Parallelogram, Rectangle, Rhombus, Square, Trapezoid.

Question 6

How many faces, edges, vertices does a cube have?

Answer 6

6 faces, 12 edges, 8 vertices.

Question 7

Purpose of a straightedge vs. a compass?

Answer 7

Straightedge draws lines; compass draws arcs/circles.

Question 8

Composing vs. decomposing figures—why useful?

Answer 8

Makes complex area/volume calculations simpler by recombining known shapes.

Question 9

Sign pairs for the four quadrants?

Answer 9

I (+,+) II (–,+) III (–,–) IV (+,–)

Question 10

Steps to plot an ordered pair (x,y).

Answer 10

1 move on x-axis, 2 move on y-axis, 3 mark point.