Download In part 1, classify the following triangles according to it`s sides and

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Transcript
Geometry – Unit 4 Pretest: Triangles
Matching:
A. One angle measuring 90o
B. All angles are less than 90o
C. All sides are congruent
D. One angle measuring greater than 90o
E. No sides in the triangle are congruent
F. All angles are congruent
G. Two sides of the triangle are congruent
1. _____ Equilateral
2. _____ Isosceles
3. _____ Scalene
4. _____ Right
5. _____ Acute
6. _____ Equiangular
7. _____ Obtuse
For the next part, find the missing variable(s).
8)
xo
yo
Xo ________
Yo ________
9) Xo ________
Yo ________
yo
60o
xo
10)
X ________
30o
Geometry – Unit 4 Pretest: Triangles
11. List any information that you know about a midsegment.
Fill in the blank.
12. If a point is on the bisector of an angle, then the point is _________________ from
the sides of the angle.
13. If a point is equidistant from the endpoints of a segment, then it is on the
_________________________ of the segment.
For the next part, find the missing variable.
x+5
14. ______
15.______
3
3x - 7
2x + 4
T
16.
In the figure to the right. E, D and H are
the midpoints of TUV . UV = 80, TV = 100,
and HD = 80
H
E
List all parallel segments ____________________
Find the following values.
V
HE___________
ED___________
TU___________
TE ___________
D
U
Geometry – Unit 4 Pretest: Triangles
D
17.________
If BE = 2x + 6 and DF = 5x + 9, find DF
18. ________
If EC = 3x – 1 and AD = 5x + 7, Find EC.
B
C
A
F
E
19. ____________
Julia is designing a kite like the one on the right. The diagonals
measure 48 cm and 80 cm. For stability, she will use ribbon to
connect the midpoints of each side. How much ribbon will she need?
C
20.
For the picture to the right, find the value
of the following. CD is the perpendicular bisector
of ST and XY.
CT _______
TY _______
SX _______
CX _______
MT _______
ST ________
DY _______
24
32
S
10
X
14
T
M
Y
D
XY _______
A
21. Find the following
X + 50
mABC _________
mA ___________
BC _____________
AC _____________
B
F
X + 85 140o
70o
E
3X + 46
BE || AD
C
D
Geometry – Unit 4 Pretest: Triangles
Find X in the following
23.
22.
Xo
42o
90o
62o
Xo
142o
24. Can the following triangles have the given lengths?
4 in. 7 in. 11 in.
3cm 5cm 7cm
25. In a triangle with the given lengths, explain the range for the third side.
9 feet, 11 feet
26. The base of a triangle is 6cm. One of the remaining sides is twice the measure of the
other. What is the longest possible side of the triangle if all sides are whole numbers?