Download Stuff You Should Know - 1st Sem - p2

Honors Geometry
Stuff You Should Know Numero Dos
Name ____________________Score (
/ 45 ) x 7
January 9, 2014 Per _____
True/False
1. a) Two skew lines can’t lie in the same plane, but they can intersect.
b) The angles of a regular polygon are always congruent.
2. a) Any three points are collinear.
b) Any three points are coplanar.
c) Any two parallel lines are coplanar.
Always/Sometimes/Never
3. a) An isosceles triangle is ____________ equiangular.
b)The Hypotenuse-Leg Theorem can _________________ be used to prove two right triangles are congruent.
4. a) Three non-parallel lines in a plane can ____________ intersect at three points.
b) An altitude of a triangle will ________________ fall inside the triangle.
5. Three interior angle measures are given for a triangle. Find x, and classify the triangle as acute, obtuse, or
mB  x  14
mC  2 x  15
right. mA  3x  5
F
6. Trust your eyes for this one. The two triangles are congruent.
Make an accurate congruence statement.
B
EDF  _________
E
Complete this statement in two ways: CBA  ________
D
A
Complete the statement: CB  ______
7. What is the sum of the interior angles in the figure to the right? _________
How many diagonals does it have? _____________
8. Given points A  3, 5 and B  1,3 . If M is the midpoint of AB , what are M’s coordinates?
If B is the midpoint of AC , what are the coordinates of C? (Draw a sketch if you want).
Y
9. Find the measure of RST if RX
TY .
C
X
1 20
R
110
S
T
10. Find the measure of the numbered angles.
What kind of triangle is
C
ABC ?
A
D
4
1
If the length of AB is 3 x  12 , the length of CB is
4 x  2 , and the perimeter of the triangle is 41, what is
the length of each side?
2
3
50
E
130
B
11. Find x and y, if the lines in the interior of the triangle are altitudes.
H
x
12. Find x and y, if IGH is isosceles with G as the vertex angle,
and the lines on the interior of the triangle are angle bisectors.
13. Find x and y if IGH is equilateral and the segment extending from
vertex H is a median.
14. If
F
CB i s the bi sector of DCA
G
y
41
I
AOD is isosceles with A  D , then ___  ___
15. Which method would most directly prove these triangles congruent, and what theorems/postulates would you
need as intermediate steps?
65
71
44
65
Always/Sometimes/Never
16. a) If you can prove two triangles congruent using ASA, then you can ______________________ prove them
congruent using AAS.
b) You can _____________________ prove two triangles congruent using CPCTC.
17. a) A median of an isosceles triangle is _____________________ an angle bisector.
b) An altitude of an isosceles triangle is ___________________ a median.
18. a) The sides of a triangle _________________ sum to 180.
b) If two lines are cut by a transversal, then the formed alternate interior angles are ________ congruent.
c) Vertical angles are _______________________ adjacent
19. EH  HI , EF  FG  GH . If GH  4,
E
find the lengths of EG , HI , GI , and EI .
F
G
H
I