Download Geometry

Geometry
1. Bisect this angle:
Name ______________________ No. ____
Date ________________ Period _________
2. Construct a
perpendicular to this line
through the point given:
0B
3.
4. Given: noncollinear
points A, B, C lie in plane
M. Point D does not lie in
plane M. How many
planes are determined
by A, B, C, and D?
.
5. Is the converse of the
conditional “If two angles are
vertical angles, then they are
congruent.” Always,
sometimes, or never true?
Explain your answer.
6.
7. Write an indirect proof
8.
9. In circle C, CD
AB and
m1  70 . Find m2 .
10. Find the exact area
of polygon TIGER.
11. Show that
12. Find the value of x.
Round answer to the
nearest tenth.
13. Find the exact area and
perimeter of the trapezoid
below.
14. Find the exact values
of x and y.
15. A diagonal of a
regular hexagon
measures 20 cm. Find
the exact area of the
hexagon.
1B
(proof by contradiction): If
two angles of a triangle are
not congruent, then the
sides opposite those angles
are not congruent.
sin A
tan A 
cos A
Given:
JOG  RUN ,
mJ  5x 10 ,
mG  2x 17 , and
mU  3x  7 .
Classify JOG by
sides and angles.
16. Find the exact value
of x.
Geometry
Name ______________________ No. ____
Date ________________ Period _________
17. Given the points
A(2, 4) B(8, 4) C (2, 2) ,
18. The radius of circle P
is 5 cm. The length of
prove that
XP is 6 cm. XP
intersects the circle in
how many points?
MN joining
the midpoints of AB and
AC has a length equal to
19. Two parallelograms
with equal perimeters are
similar. True or False? If
false, provide a
counterexample.
20. An equilateral triangle
24. In isosceles
trapezoid
one-half the length of
is inscribed in a circle of
radius 12. Find the exact
difference between the
areas of these two
figures.
CB .
21. Show that the
diagonals of rectangle
JUNK are congruent and
bisect each other.
22. Given rectangle JUMP,
m1  6x 16 and
m2  2x  4 , find m1
23. Find the value of x.
25. Find the value of x.
26. Find the exact value
of x.
27. Find the values of x
and y.
30. Given
31. The perimeter of
rhombus ABCD is 136.
One diagonal measures
32. Find the length of the
other diagonal.
29. Find the exact values
of x and y in simplest
radical form.
2B
ABC  XYZ ,
mA  17 x ,
mB  8x  5 , and
mZ  12x 10 . Name
the longest side of
XYZ
JKLM, JK
ML , NP is a
median, mJ  5x  6
and mM  2x  3. Find
mKPN .
28. Find the values of x
and y.
32. The exterior angle of
a regular polygon
measures 36 . Find the
sum of the interior angles.
3B