Download rue A/o - Spring Branch ISD

Name
n
| CHAPTER |
Date
Class
Chapter
1. Identify a pair of skew segments.
7. Find the measure of /.QRS and state
the postulate or theorem that justifies
your answer.
D
'F
H
2. Write True or Fa/se. Perpendicular lines
cannot be skew lines.
rue
3. How many total pairs of both alternate
exterior and alternate interior angles are
formed by a transversal that intersects
two coplanar lines at two different points?
4
8. If L.\ = Z6 and mz.1 + 90°, is HI s?
_
4. Given: L& and A6 are corresponding
angles. Identify the transversal.
A/o
9. Which values for x and y make lines
r, s, and t parallel?
.
10
11\12
/75°
45\.
/(3* + y)°
(5x-yr
5. If parallel lines are intersected by a
transversal that is not perpendicular to
them, how many pairs of nonadjacent
supplementary angles are formed?
6. What one word completes the following
sentence?
angles formed
by a transversal of parallel lines are
congruent and all the
angles
are supplementary to all the obtuse
angles.
u
10. If two parallel lines and a transversal
form angles that are all congruent,
describe the relationship between the
transversal and each of the parallel lines.
A wall rack for holding CDs is shown. Use the figure for Exercises 1 and 2
11. Explain why HK must be perpendicular to KL.
"Tl\e p'ciurg
FTTT •
&H II K^-
TK|v\.
12. If JM 1 HK, explain why JM || GH.
J-
. Write True or False. Skew lines can
intersect.
{8 . Write and solve an inequality for x.
2x+ 20
IT . How many pairs of corresponding
angles are formed by two lines and a
transversal?
What type of angle pair are <L8 and L6?
lo>X
Complete the theorem. If two
intersecting lines form a linear pair of
congruent angles, then the lines are
f
Name the shortest segment from B to AC.
If pjtrallel lines are intersected by a
transversal, at most how many different
angle measures are there?
B
Find mZABC.
Complete the sentence. When parallel
lines are cut by a transversal, the
angles formed are either
or
supplementary.
A /x°
'(3\ - 70)°
c
Name
Date
SECTION
Class,
Ready to Go On? Enrichment
fi
Finding Angle Measures
Use the figure at the right and the given information to answer the
questions below, s || t, s || r, \\m,n\m
mz.1 = (7x)°
mz.2 = (4x+ 18)°
76
-= (6a
^- / J
= (3y)°
n
I
= (5a + 2)°
I
-
n
I I I
rn^.7 = (28b - 5)°
r
1. Find the value of x.
2. Findm/11.
4. How are Z.1 and A3 related?
Y
Y
3. Find
5. What is
. .
ir\t
6. What is mZ.4?
/1 3/5
7. What is the value of a?
9. Find m^5.
8. What is the value of b?
10. Find the value of y.
11. Is n || m? Explain your answer. tVv/T} -
r^n^ IBS' i3s5^ i^° Hi€ dJl ^ A ^ e n /
12. Write a paragraph proof to show that s || r.
A s:// r u j j K ( i . o
rriitf
SBISD Geometry PreAP Curriculum Framework
Unit 3: Lines with Transversals 3A (3.1-3.4) (10 Days)
! Unit Assessment Items
EOC Level Questions:
On the map below, First Street is parallel to Second Street, with the bicycle path crossing both streets
as shown. What are the measures of the three angles of the triangular park?
First St.
55
3b
A
30" ,60*, 90"
B
125", 55'. 90*
Ji~\
5V 90*, 55*X35>>
'path
D
Secor«id St.
2.
90", 45°, 45*
Camille drew line segment ,45 and drew two lines, line m and n, intersecting ,4 # and creating eight
angles. The measure of Z. 3 is 90' and the measure of / 6 is ,W . Camille concluded that
eventually these two lines would intersect.
To validate this conjecture, what would be appropriate reasoning-?
180"
^C•
3.
Bnem
B
m / 2 -= m /: 3 =• m f_ 6 - 90"
C
m l_ 2 = m Z. 3 : m i_ 6 = m / 8
D
m /. 2 + ni /_ 3 = 1X0* : m /. 6 + m / 7 = 180'
Use the f%ure to the right to answer the foUoir lag. Giv en lines p & z are p aralleL
linefis a tramrersaland m^.2 = 22° Find mZ3
120=
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SB1SD Geometry PreAP Curriculum Framework
4.
Based on the angle measurements given in the diagram below, which of the following is TRUE about
the line segments?
Q a
P
A
$
6'P1177?
B
©
D
>
5
Maria studied the diagram shown below in which £/-• j_ /-yy and /Q j_ /•>/ .
She then made the following conjectures about the ausles iii the cUaeram. Which conjecture is always
TRUE?
A
B
Z 1 <m Z2
/ K > m /_ 5
EI-'Ci is complementaiy to /.
The diagrams below show the .arcs made by a compass during a geometric construction. Which
diagram shows die correct way to construct the line perpendicular to a line. L, from a point. P, not on
the line?
\
L
Questions from the TMSDM Resource
https://www. tmsds. pro/
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