MA.912.G.3.4 Theorems Involving Quadrilaterals
Two-Dimensional
MA.912.G.1.1 Line Segments
MA.912.G.1.3 Parallel Line ∠s
MA.912.G.2.2 ∠ s of Polygons
MA.912.G.2.3 Prop of Polygons
MA.912.G.2.4 Transformations
MA.912.G.2.5 Perimeter & Area
MA.912.G.3.3 Prop of Quads
MA.912.G.3.4 Quad Theorems
MA.912.G.4.6 ~ & Triangles
MA.912.G.4.7 Inequality Theo
MA.912.G.5.4 Right Triangles
MA.912.G.6.5 Circle Measures
MA.912.G.6.6 Circle Equations
MA.912.G.8.4 Conjectures
Three-Dimensional
Trig & Discrete Math
In Your Text
Section 6-1; 389-397
Section 6-2; 399-407
Section 6-3; 409-417
Section 6-4; 419-425
Section 6-5; 426-434
Section 6-6; 435-444
Section 7-2; 465-473
What You Need To Know...
Theorems involving quadrilaterals.
- The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response) items.
- Items may require the use of relationships among quadrilaterals (square, rectangle, rhombus, parallelogram, trapezoid, and kite).
- Items may include proofs.
Example One
Figure ABCD is a rhombus. The length of
is (x + 5) units, and the length of
is (2x - 3) units.
Which statement best explains why the equation x + 5 = 2x - 3 can be used to solve for x?
- All four sides of a rhombus are congruent.
- Opposite sides of a rhombus are parallel.
- Diagonals of a rhombus are perpendicular.
- Diagonals of a rhombus bisect each other.
Example Two
Four students are choreographing their dance routine for the high school talent show. The stage is rectangular and measures 15 yards by 10 yards. The stage is represented by the coordinate grid below. Three of the students - Riley (R), Krista (K), and Julian (J) - graphed their starting positions, as shown below.
Let H represent Hannah's starting position on the stage. What should be the x-coordinate of point H so that RKJH is a parallelogram?
Additional Examples
