1­5­16 Geo M1L28 Day 2 Special Parallelograms.notebook
Date:
Lesson 28 – Day 2 Special Parallelograms
In this lesson, we will examine the properties of the special parallelograms (rectangle, rhombus, square). We will also determine the properties that are needed to prove that a quadrilateral is one of the special parallelograms listed
January 12, 2016
1­5­16 Geo M1L28 Day 2 Special Parallelograms.notebook
January 12, 2016
*A square is a rectangle with 4 congruent sides and a square is a rhombus with 4 right angles. Therefore a square has all of the properties of a rectangle as well as the rhombus.
Classwork
Exercises:
In rectangle MNOP, m∠1 = 40. Find the measure of each numbered angle.
1­5­16 Geo M1L28 Day 2 Special Parallelograms.notebook
January 12, 2016
1­5­16 Geo M1L28 Day 2 Special Parallelograms.notebook
January 12, 2016
1­5­16 Geo M1L28 Day 2 Special Parallelograms.notebook
January 12, 2016
Solve for the indicated variable/measurement given ABCD is a rectangle:
a.
If BE = 6y + 2 and CE = 4y + 6, find y.
b. If BC = 24 and AD = 5y ‐ 1, find y.
c.
If m∠BEA = 62, find m∠BAC.
d. If m∠AED = 12x and m∠BEC = 10x + 20, find m∠AED.
e.
If BD = 8y ‐ 4 and AC = 7y + 3, find BD.
f.
If m∠ABD = 5w – 3 and m∠CBD = 2w + 9, find w.
1­5­16 Geo M1L28 Day 2 Special Parallelograms.notebook
January 12, 2016
Use rhombus DKLM with AM = 4x, AK = 5x ‐ 3, and DL = 10
Use square MNPQ with PQ = a.
PA = 4x ‐ 1, and AM = 9x ‐ 6.
Find x.
a.
Find x.
b.
Find NQ.
c.
Find m∠APQ.
b. Find AL.
c.
Find m∠KAL.
d. Find DM.
d. Find m∠MNP.
Find each variable or measurement given RSTU us a rectangle
Homework
7.
If RZ = 3x + 8 and ZS = 6x ‐ 28, find x.
GHJK is a rectangle. Find each measure if m∠1 = 37.
8.
If RT = 5x + 8 and RZ = 4x + 1, find ZT.
9.
If m∠SUT = 3x + 6 and m∠RUS = 5x ‐ 4, find m∠SUT.
10. If m∠ZUT = x + 21 and m∠ZTU = 3x ‐ 15, find m∠UZT.
1­5­16 Geo M1L28 Day 2 Special Parallelograms.notebook
Find each variable or measurement given ABCD is a rhombus
11. If AE= 8, find AC.
January 12, 2016