Download Advanced Geometry: Unit 7 Review

Advanced Geometry: Unit 7 Review
Has 4 sides
No parallel sides
Exactly one pair of parallel sides
Two pairs of parallel sides
Two pairs of opposite sides congruent
Exactly one pair of opposite sides congruent
No opposite angles congruent
Exactly one pair of opposite angles congruent
Two pairs of opposite angles congruent
Consecutive angles are supplementary
Diagonals bisect each other
Diagonals are congruent
Diagonals are perpendicular
Diagonals bisect opposite angles
One diagonal is bisected
One diagonal bisects opposite angles
All sides congruent
All angles are congruent
Two pairs of consecutive congruent sides
Kite
Isosceles Trapezoid
Trapezoid
Square
Rhombus
Rectangle
Parallelogram
Characteristic
Quadrilateral
Learning Target 7.1: Solve application problems involving the properties of quadrilaterals
True or False: Determine whether each statement is true or false. If it is false, explain why.
a) A square is also a rectangle
b) A rectangle is also a square
c) The base angles of a trapezoid are congruent
d) A parallelogram is also a trapezoid
e) A square is a rectangle with all sides congruent
f) A quadrilateral with congruent diagonals is a rectangle
g) A kite is also a parallelogram
h) The diagonals of a rhombus bisect each other
Use parallelogram RSTU to find each measure or value.
a) 𝑚∠𝑆𝑇𝐵
b) 𝑚∠𝑇𝑈𝑅
c) x
Find the value of x and y that makes each quadrilateral a parallelogram.
a)
b)
ABCD is a rectangle.
a)
b)
c)
GHJK is a rectangle. Find the measure of each numbered angle if 𝑚∠1 = 37.
ABCD is a rhombus.
a)
b)
c)
d)
Use rhombus RSTV with 𝑅𝑆 = 5𝑦 + 2, 𝑆𝑇 = 3𝑦 + 6, and 𝑁𝑉 = 6.
a)
b) Find RN.
c)
d)
Find the missing measures for each given trapezoid.
a)
b)
The figure shows an isosceles trapezoid with a midsegment. Find the value of each variable.
Find each numbered angle.
a)
𝑥°
b)
Find the value of each variable.
39
x 10
36
y
Learning Target 7.2: Identify quadrilaterals on a coordinate plane and justify the identification
using appropriate tools and methods
What 3 formulas can you use on coordinates? How does each one help identify quadrilaterals?
What are the 4 ways that you can show a quadrilateral is a parallelogram? Which method do you prefer?
What are the 2 ways that you can show a parallelogram is a rectangle? Which method do you prefer?
What are the 2 ways that you can show a parallelogram is a rhombus? Which method do you prefer?
How do you show that the coordinates form a square?
How do you show that a quadrilateral is a trapezoid? If it is, how do you decide if it’s isosceles?
If you find that there are no parallel sides, what are the 2 ways that you can decide if the quadrilateral is a kite?
Use the coordinates to determine what type of quadrilateral is formed. Explain your reasoning.
a) 𝐴 (6,2), 𝐵 (4, −4), 𝐶(10, −6), 𝐷(12,0)
b) 𝐴 (−3,5), 𝐵 (2,7), 𝐶(4,2), 𝐷(−1,0)
c) 𝐴 (−5,2), 𝐵 (−5,6), 𝐶(−1,6), 𝐷(2, −1)
d) 𝐸 (−4, −1), 𝐹(−4,6), 𝐺 (2,6), 𝐻(2, −4)