Download Assignment 4E Period: ______ Date: Medians and Altitudes Revi

Geometry
Assignment 4E
Medians and Altitudes
1.
Is AB a median, altitude, or neither?
2.
Is AB a median, altitude, or neither?
3.
Is AB a median, altitude, or neither?
4.
Is AB a median, altitude, or neither?
5.
Is MN a median, altitude, or neither?
6.
Name: ______________________________
Period: ________ Date: _________________
7.
AD is a median for triangle ABE. What
is the value of x?
8.
AB is a median for triangle ABE. What
is the value of x?
9.
Draw three medians for the given
triangle. Did anything special occur?
10.
What is the measure of the altitude for
the given triangle?
Is MN a median, altitude, or neither?
Revised 9/13/2011
page 1 of 4
Printed 10/14/2012
Geometry
Assignment 4E
Medians and Altitudes
11.
Name: ______________________________
Period: ________ Date: _________________
What is the measure of the altitude for
the given triangle?
14.
Using the information provided in the drawing,
find x and y.
y°
x°
75°
12.
15.
Given the following diagram where BD
bisects ∠ABC :
Using the information provided in the
drawing, find x and y.
27°
C
D
y°
x°
B
A
AD and DC are congruent…
Always
16.
Sometimes
Using the triangle below:
B
Never
(4x)°
13.
Given the following diagram where AC
is a median of ∆ABD :
A
A
(x + 12)°
(x – 12)°
C
Find the measure of each angle.
B
D
C
AB and AD are congruent …
Always Sometimes
Revised 9/13/2011
Never
page 2 of 4
Printed 10/14/2012
Geometry
Assignment 4E
Medians and Altitudes
Name: ______________________________
Period: ________ Date: _________________
Given: AT II US
17.
19.
m∠B = (11x)°
m∠BAT = (4x – 2)°
m∠U = (8x – 30)°
Given the conditional statement:
If x is a whole number, then 2x is a
positive integer.
a) Write the contrapositive.
B
(11x)°
A
U
(4x – 2)°
T
(8x – 30)°
b) Classify the contrapositve as true or
false.
S
c) What is the converse?
What is the m∠S?
d) Classify the converse as true or false.
e) What is the inverse?
18.
Look at the recursive formula.
a1 = 4
For n > 1, an = 2a(n – 1) – 5
f)
Classify the inverse as true or false.
What are the first 3 terms of this
sequence?
a1 = ____________________
20.
a2 = ____________________
Put the following statements in the
correct order.
A. If a figure is a triangle, then it is a
convex polygon.
a3 = ____________________
B. If a figure is a 30-60-90 triangle, then
it is a right triangle.
C. If a figure is a convex polygon, then
it is a polygon.
D. If a figure is a right triangle, then it is
a triangle.
Revised 9/13/2011
page 3 of 4
Printed 10/14/2012
Geometry
Assignment 4E
Medians and Altitudes
21.
Name: ______________________________
Period: ________ Date: _________________
Marc wrote the number pattern shown
below.
24.
Graph the equation:
x + 2y = 4
200, 180, 155, 125, …
He noticed another pattern when he
formed the difference between
consecutive numbers decreased by 5 as
shown below.
200
180
/ \
\
-20
155
/ \
-25
125
/
-30
If the difference continues to decrease
by 5, what will be the 7th and 8th terms of
the original pattern?
a.
5, – 40
c. 10, – 35
b.
5, – 45
d. 10, – 40
25.
22.
What is the equation of the line that
passes through (2, 6) and has a slope
1
of − ?
2
23.
What is the equation of the line that
passes through (2, -2) and (6, 4)?
Revised 9/13/2011
page 4 of 4
What is the difference between a median
and a midsegment? Explain in words and
draw a diagram.
Printed 10/14/2012