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Mark Twain I.S. 239
8G Math - ID ____
Name _________________________
February_____ , 2012
Homework # 55 – Quadrilaterals
Diagrams are not drawn to scale. Show all your work.
1.
The diagram below shows isosceles trapezoid ABCD
with AB || DC and AD ≅ BC. If m∠BAD = (2x)◦ and
m∠BCD = (3x + 5)◦, find the measure of angle D.
2.
In the diagram below, quadrilateral STAR is a rhombus with diagonals
SA and TR intersecting at E. Side ST = 3x + 30 and SR = 8x – 5. Find
the perimeter of quad STAR.
3.
The angle measures of quadrilateral QRST are represented below.
Find the measure of each angle of the quadrilateral.
4.
The cross section of an attic is in the shape of an isosceles
trapezoid, as shown in the accompanying figure. If the
height of the attic is 9 feet, BC = 12 feet, and AD = 28 feet,
find the area of trapezoid ABCD.
Name:________________________
Homework 55 –Quadrilaterals
Diagrams are not drawn to scale. Show all your work.
5.
In the accompanying diagram of rectangle ABCD, m∠BAC 3x 4 and
m∠ACD x 28 . What is m∠CAD?
6.
In the diagram of parallelogram STUV, SV = x + 3, VU = 2x − 1,
and TU = 4x − 3. What is the length of TU?
7.
A a rectangular field has a length of 2. 16 yards and a width of 7. 13 yards.
a. What is the length of the diagonal?
b. Find the area and perimeter of rectangular field.
7.13
2.16
CCLS Application
8.
The perimeter of a rectangular tennis court is 60 feet. The length of the court
is 2 feet more than 3 times the width.
a. Sketch a picture to represent the unknown information.
b. Find the dimensions of the tennis court.
Lesson Questions
For each quadrilateral, find the missing side or angle.
Quadrilateral 3:
Quadrilateral 4:
In the accompanying diagram of parallelogram
ABCD, m∠B 5x and m∠C 2x 12. Find the
number of degrees in ∠D.
In rectangle ABCD above, what is the length of AB?
Find the area and perimeter of rectangle ABCD.
Quadrilateral 2
Quadrilateral 4:
In the diagram below, quadrilateral STAR is a
rhombus with diagonals SA and TR intersecting at E.
m∠RTA = 5y − 2, and m∠TAS = 9y + 8. Find m∠TAS.
The angle measures of quadrilateral
QRST are represented below. Find the
measure of each angle of the quad QRST.
Quadrilateral 5:
In the diagram below of isosceles trapezoid
Quadrilateral 1:
DEFG, DE || GF , DE = 4x − 2, EF = 3x + 2,
FG = 5x − 3, and GD = 2x + 5. Find the length
of each side.
Find the measure of angle B.