Honors Geometry - Chapter 5 Review

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Honors Geometry
Chapter 5 Review
Name_________________________
Date______________Period_______
In problems 1-5, choose the correct answer.
1. Which of the following are equiangular quadrilaterals?
a) parallelogram and rectangle
b) trapezoid and rhombus
c) square and rhombus
d) square and rectangle
e) none of these
1. _______________
2. If two parallel lines are cut by a transversal, then the bisectors of a pair
of interior angles on the same side of the transversal are _?__.
a) // b) // c)  d) supplementary
e) complementary
2. _______________
3. What is the most descriptive name for the quadrilateral MARY?

a) parallelogram
b) rectangle
c) rhombus
d) square
e) kite
4. Which of the following statements is not always true?
a) The diagonals of an isosceles
trapezoid are congruent.
b) The diagonals of a parallelogram
bisect the angles of the parallelogram.
c) The diagonals of a kite divide
it into four right triangles.
d) The diagonals of a rhombus divide
it into four congruent right triangles.
f) The diagonals of a square divide it into
four congruent isosceles right triangles.
3. _______________
4. ________________
5. Which of the following is not sufficient to prove a quadrilateral a parallelogram?
a) Show opposite sides parallel.
b) Show opposite angles congruent.
c) Show opposite sides congruent.
d) Show one pair of opposite sides
congruent and one pair of opposite sides //.
5. ______________
e) Show the diagonals bisect each other.
6. Write a valid inequality and
find the restrictions on x.
7. Find m B

8. EASY is an isosceles trapezoid
With bases EY and AS.
Find AS

9. KITE is a kite.
1=6x
2 = x+20
Find the measure of IKE.




Solve problems 10 and 11 by referring to the diagram and the information given.
STOP is a rhombus.
10. Find the coordinates of V.
10. _______________
11. Find the slope of SO .
11. _______________

12. p // q
1=2x+20
2 =3x-50
Find the measure of 3 .
12. ________________


Complete the table below by placing yes or no in each empty space.

Kite
Isosceles
Trapezoid
Parallelogram
Rhombus
Each pair of
opposite sides //
Opposite sides 
Opposite ' s 

Diagonals bisect
each other

Diagonals 
Diagonals 


No
Rectangle
Solve problems 14-16 by referring to the diagram and the information given.
FLAG is a square with a circle inscribed within.
13. Find the coordinates of the
center of the circle.
13. _______________
14. Find the circumference of the circle,
Leave your answer in terms of Pi
14. _______________
15.Which has the greater perimeter,
the circle or the square?
15. _______________
In problem 16, write an indirect proof
16.
Given: PIG is scalene
PT is an altitude to IG.
Prove: PT is not the median to IG.

16. Proof:

17. Given: AE // BD
2  3
Prove: EAD is isos.


Statement
1. _________________________________
Reason
1. _________________________________
2. _________________________________
2. _________________________________
3. _________________________________
3. _________________________________
4. _________________________________
4. _________________________________
5. _________________________________
5. _________________________________
6. _________________________________
6. _________________________________
7. _________________________________
7. _________________________________
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