How Do You Use the Diagonals of a Rectangle to Find the Value of a Variable?

How Do You Use the Diagonals of a Rectangle to Find the Value of a Variable?

Note:

When you make diagonals inside a rectangle, those diagonals are congruent. With this information, you can find the value of a variable that's part of a measurement of a diagonal. This tutorial shows you the steps.

Keywords:

  • problem
  • quadrilateral
  • diagonals
  • rectangle
  • variable
  • equation

Background Tutorials

  • Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides

  • Determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint

      • What Does Congruent Mean?What Does Congruent Mean?

      What Does Congruent Mean?

      If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!

  • Investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools

      • What is a Rectangle?What is a Rectangle?

      What is a Rectangle?

      A rectangle is one of the many fundamental shapes you'll see in math. Rectangles have special properties that can be very useful in helping you solve a problem. This tutorial introduces you to rectangles and explains their interesting qualities!

  • Prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals and apply these relationships to solve problems

      • What is a Parallelogram?What is a Parallelogram?

      What is a Parallelogram?

      A parallelogram is a special type of quadrilateral with some special properties. In this tutorial, take a look at parallelograms and learn what kinds of quadrilaterals can also be called parallelograms!