Download Unit_5_Math_Study_Guide_6th_Times

Name __________________________________________
6th – Everyday Math – Lesson 5.11 T.E. 341-345
Date ______________________
Page 1
Study Guide for Unit 5 Assessment
Vocabulary
1) congruent
Two figures that are identical – the same size and shape. If you put one on top of
the other, they would match exactly.
These triangles are congruent to each other.
2) kite
A quadrilateral with exactly two pairs of adjacent congruent sides.
A rhombus is not a kite.
3) right angle An angle that is 90 o.
4) obtuse angle An angle more than 90 o but less than 180o.
5) acute angle An angle less than 90 o.
6) straight angle An angle that is 180 o.
7) reflex angle An angle whose measure is between 180o and 360o.
8) *You are asked to create a circle graph. (Remember that a circle is 360 o).
You are given a fact: 60% of students in sixth grade pack their lunches.
You are asked to make a circle graph comparing the students that pack lunches to those who don't.
To find the degree measure of the circle graph you will need to multiply the # of students by 360o.
You will then need to divide by 100%.
360
X
60
= 21,600.
21,600 / 100% = 216o
degrees of circle
% of students
Students in all
40% 60%
o
So, you would measure 216 with your protractor.
6th Unit 5 Study Guide
page 2
9) adjacent angles
A B
Two angles that have a common side and whose interiors do not overlap.
Angles A and B are adjacent.
10) supplementary angles The sum of measures of adjacent angles formed by two intersecting lines is
180o.
What is the measure of angle 1 (below to the right) _____
11) opposite or vertical angles When two lines intersect, opposite angles are equal.
1
65o
What is the measure of angle 2? ______
What is the measure of angle 3? ______
12) consecutive angles of a polygon are pairs of angles that are "next to each other".
13) All angles in a parallelogram add up to 360o and two consecutive angles add up to 180o.
Opposite angles of a parallelogram are of equal measures.
A
B
130o
50o
consecutive angles
equal measures
D
50o
130o
C
To name this parallelogram you must name the angles in order: abcd, bcda, cdab, or dcba, cbad, etc.
Name the measures of the angles in this parallelogram.
50o
1
Angle 2 ______
Angle 1 ______
3
2
14) Look at the two parallel lines which are intersected by the third line.
The measures of angle 1 and angle 2 are equal.
1) 50o
2) 50o
3
2
Angle 3 ______
1.
Measure each angle to the nearest degree.
a.
b.
Measure of _______
c.
Measure of _______
Measure of _______
2. Draw the following angles.
a. a 70 o angle
3.
b. a. a 150 o angle
Draw a triangle congruent to triangle MAT.
Line segment SI is one of the sides of the new triangle.
Label the third vertex of the triangle with the letter X.
5
_______________________________M
M____________________ A__
4
___________________________ ______________________________
3
__________________________________________________________
2
________________________________________________ __T
T_______
1
________________________________________________________
-5
-4
-3
-2
-1
0
1
2
3
4
5
__________________________-1 _______________________________
S
_ ________________________-2________________________________
_________________________-3________________________________
_________________________-4 _____ __I________________________
_________________________-5 _______________________________
-6
Write the ordered number pair for each vertex of the new triangle.
_______________
_______________
_______________
6th Unit 5 Study Guide
page 4
4.
Use only your straight edge and compass to do the construction below.
Copy triangle CAT.
Copy the triangle CAT below.
C
T
5.
A
Label the angles below using the words: right angle, acute angle, obtuse angle, straight angle, and
reflex angle.
a.
b.
c.
180
o
120o
240o
____________________
____________________
______________________
d.
e.
f.
85o
o
160
____________________
____________________
______________________
6th Unit 5 Study Guide
6.
page 5
Find the measure of the following angles. Do not measure the angles.
a.
b. This is a parallelogram.
140o
3)
1)
2)
Angle 1: ______
60o
1
3
Angle 2: ______
2
Angle 1: ______ Angle 2: ______
Angle 3: ______
Angle 3: ______
c. The horizontal lines are parallel.
Challenge: Angle 3 is the same measure as angle 1.
1)
140o
2)
2)
3)
4)
1)
28o
6)
3)
4)
5)
Angle 1: ______
Angle 2: ______
Angle 2: ______
Angle 3: ______
Angle 3: ______
Angle 4: ______
Angle 4: ______
Angle 5: ______
Angle 6: ______
7.
Use your compass to draw a circle below.
Use your protractor to divide it into 3 sectors by drawing a 60o sector and a 190o sector.
What is the degree measure of the third sector? ______
8.
* Be ready to make a kite given only two adjacent sides, a compass, and a straightedge.