Download Complete the statement

Complete the statement. TJM  PHS .
1. <P  __________
2. JM  __________
3. m<M = ________
4. MT = __________
5. m<P = _________
6. HPS  _______
J
T
S
H
M
P
State the third congruence that must be given to prove DEF  MNO , using the
indicated postulate or theorem.
N
E
7. Given: DE  MN
M  D
Method: SAS
D
M
F
8. Given: FE  ON
F  O
Method: AAS
O
9 Given: DF  MO
F  O
Method: ASA
Is it possible to prove that the triangles are congruent? If so, name the congruent
A
triangles and state the postulate or theorem you would use.
10.
11.
B
C
A
Z
W
F
12.
S
X
D
13.
G
A
R
T
Q
B
H
For each triangle, name the included angle between the pair of sides given.
14. MAT: MT and TA
15. CDA: CA and DC
Complete the following Proofs.
16. Given: AB  CD, BC  DA
Prove: AB CD
B
C
A
D
Statements
Reasons
17. Given: PQ bisects SPT
SP  TP
Prove: S  T
Q
S
Statements
Reasons
T
P
18. In RXT , R  T , RT = 2x+5, RX = 5x-7, and TX = 2x+8. What is the perimeter
of RXT ? ________________
19. Congruent figures have the same _________ and _____________.
20. If  1 and  2 are complements and m  1 = 74, then m  2 = _______?
21. If the measure of each interior angle of a polygon is 144, then the polygon has _____
sides?
22. The measure of the angles of a triangle are 2x +10, 3x, and 8x-25. The triangle is
called what ___________?
23. Draw a triangle. Draw every median of the triangle.
24. In ABC , mA  46 , AB= AC. What is the measure of  CBA? ____________?
25. If  1   2 , ES = 3y +5, and ET = 25 – y, then y = __________?
E
1
3
R
S
4
2
T
V
F
J
26. Use DEF to name each of the following.
a. an altitude
b. a median
c. the perpendicular bisector of a
side of a triangle.
G
E
D
I
27. ABCD  EFGH . Find the values of x and y.
E
4y-4
D
135
C
10x+65
H
28
B
A
F
G
Sometimes, Always, or Never
28. The acute angles of a right triangle are ______________ complementary.
29. An acute triangle is ________ congruent to an obtuse triangle.
30. An altitude is ___________ an angle bisector.
31. Inductive reasoning is ______________ based on a theorem.
32. Triangles with 3 congruent corresponding parts are ___________ congruent.
33. Find the value of x and y.
y
40
°
x
34. Find the value of x
50
°
5x
x
2x-4
3x+20
35. If K is the midpoint of ST and RK  ST , then RK is called a _________ of ST.
36. Describe the altitudes of a right triangle.
37. Corresponding Parts of Congruent Triangles are Congruent can be abbreviated with
_________. Before using this as a reason in a proof, what must have been done?
38. Two vertical angles have measures 6x-3 and 5x+5. Find x.
H