Unit 2D Day 3 Notes
EQ:
**Rectangles, rhombuses, and squares are sometimes referred to as ________________________________________
Rectangle: A quadrilateral with 4 ________________________ angles
When you are given a
parallelogram with certain
properties, you can use these
theorems to determine
whether the parallelogram is a
rectangle.
Example 1: A woodworker constructs a rectangular picture frame so that JK = 50 cm and JL
= 86 cm. Find HM.
Example 2: The rectangular gate has diagonal braces.
A. Find HJ
B. Find HK
Rhombus: A quadrilateral with 4 ________________________ sides
These are some
conditions you can use to
determine whether a
parallelogram is a
rhombus.
Example 3: TVWX is a rhombus.
A. Find TV.
B. Find mVTZ.
Example 4: CDFG is a rhombus.
A. Find CD
B. Find mGCH if mGCD = (b + 3)and mCDF = (6b – 40)°
Square: a quadrilateral with four _______ angles and four ____________ sides. In the exercises,
you will show that a square is a parallelogram, a rectangle, and a rhombus. So a square has
the properties of all three.
Example 5: Show that the diagonals of square EFGH are congruent perpendicular
bisectors of each other.
Example 6: The vertices of square STVW are S(–5, –4), T(0, 2), V(6, –3) , and W(1, –9).
Show that the diagonals of square STVW are congruent perpendicular bisectors of
each other.
Example 7: Proof
Given: ABCD is a rhombus. E is the midpoint of AB , and F is the midpoint of CD
Prove: AEFD is a parallelogram