Amazing Altitudes, Magnificent Medians, Perfect
Perpendicular Bisectors and Astonishing Angle Bisectors!
Graph the points A(0,1) B(8,1) and C(1,6).
Place a rubber band between the points ( 1,6 ) and ( 1,1 ). This is the
altitude of the triangle.
1.
In you
Warm-up 19
Geometry
6x + 12
2x - 5
1.
Solve for x
7x - 12
5x - 12
2x - 3
2.
Solve for x
3.
Are all alternate interior angles acute? Explain
82
8x - 23
3x + 12
4.
Solve for x
5.
Given the sides 12 , 13 and 8 will the triangle be acute obtuse or
right?
6.
F
Warm-up 18
Geometry
1.
Find the distance and midpoint of ( 3,4 ) ( -10, 4 )
2.
What is the difference between a linear pair and adjacent angles?
3.
Are all alternate interior angles acute? Explain
67
4.
Find x
2x + 12
8x -10
5x - 5
2x - 12
5.
Find each an
Warm-up 16
Geometry
1.
Find the area and perimeter:
23
28
2.
What type of angles are a and b?
a
b
3.
Find the midpoint between the points ( 12 , -8 ) and ( 15, -5 )
2x + 10
x+5
4.
Find each angle:
5.
Find the distance between ( 16 , -13 ) and ( -1 , -11 )
Triangle Inequalities
1.
Draw any non-right, non-isosceles triangle.
2.
Measure the sides in centimeters
3.
Measure the angles
4.
Fill in your chart below with your results and the results of three other
classmates
Length of
the
largest
side
Measure of
an
Parallel lines cut by a transversal
1. Go to Edit on the top menu bar and highlight preferences, and then go to text and click
on the first 2 boxes. Now your drawings will be labeled.
2. Create a line. Make and label 2 points on the line. It does not need
Kuta Software - Infinite Geometry
Name_
Parallel Lines and Transversals
Date_ Period_
Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.
1)
2)
y
y
x
x
3)
4)
y
y
x
x
5)
6)
y
y
x
x
7)
8)
y
x
x
y
t
Kuta Software - Infinite Geometry
Name_
Isosceles and Equilateral Triangles
Date_ Period_
Find the value of x.
1)
2)
7
x
x
6
3)
4)
6
x
4
5)
x
6)
40
x
x
7)
75
8)
x
75
x
54
9)
10)
65
x
28
x
R c2f0W1X05 2KButtkad kSjoSf0tfwkaJr5eU iL1L4CU.v E VA4lZlW crSi3g3
What type of triangle is it?
B
C
A
Name the legs:
Name the vertex angle:
Name the base angles:
Name the base:
If one of the base angles was 20 degrees
what would the other two angles have to be?
If the vertex angle was 30 degrees what
would each of the ba
Isosceles Triangle on Sketchpad
1.
Make a circle. Create a triangle inside the circle. An example is
provided below.
2.
Highlight the circle only and go to display and hide the circle.
3.
Measure all the sides and angles of the triangle.
4.
The vertex is
Exterior angles of a triangle on Sketchpad
1.
Create a triangle where the sides are extended to make
exterior angles in the triangle. An example is provided below.
2.
Label and measure a set of an exterior angle and its
remote interior angles on the sketc
Creating angles using Sketchpad
1.
In the edit menu choose Preferences submenu and set the Angle Units to
degrees with a precision of tenths.
2.
Use the Segment Tool to draw ray AB ( make sure you label it )
3.
Construct another ray AC with the same endpo
Classifying Triangles on sketchpad
Directions: Create each of the following triangles. Show the
measurements of each side and each angle to show its
classification. Below are the classifications of triangles.
Triangles can be classified by angles and by s
Warm-up 20
Geometry
1.
What are all the possible lengths of the 3rd side of a triangle given
the lengths 10 and 14?
2x - 12
4x -20
2. Find x
3.
Alternate exterior angles are _ acute.
( Fill in the blank with sometimes, always or never )
B
4x - 10
C
2x - 1