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Transcript
Name ________________________________________ Date __________________ Class __________________
MODULE
1
Constructions
Module Quiz: B
Use the figure below to answer 1–2.
Use the figure to answer 4–5. Line l is the
perpendicular bisector of AB.
4. What is the length of AC?
1. Given ∠7 ≅ ∠3, name the postulate or
theorem you could use to prove that lines
r and s are parallel.
A 1.5 cm
C 6 cm
B 3 cm
D 9 cm
5. Which statement MUST be true?
A AD = BC
B AD = BD
________________________________________
C BD = AC
2. Given that ∠4 and ∠5 are supplementary,
name the postulate or theorem you could
use to prove that lines r and s are
parallel.
D CD = AD
6. Name two different ways to construct
congruent angles.
Method 1
________________________________________
________________________________________
3. Look at the figure below.
________________________________________
Method 2
________________________________________
________________________________________
Which statement must be true in order to
prove that lines b and c are parallel?
A m∠1 = m∠3
B m∠1 + m∠2 = 180°
C m∠2 = m∠8
D m∠2 + m∠3 = 180°
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
15
Name ________________________________________ Date __________________ Class __________________
MODULE
1
Constructions
Module Quiz: B
Use the figure for 10–11.
7. The diagram shows a congruent angle
construction that uses one of the rays
of the original angle. Assume the pattern
continues.
It takes 15 copies of the angle for the
last angle to overlap the first horizontal
ray. What is the measure of each angle?
Explain.
10. If the side lengths of quadrilateral KLMN
are known, what theorem can you use to
prove the figure is a parallelogram?
________________________________________
11. For what value of x and y is KLMN a
parallelogram?
________________________________________
________________________________________
________________________________________
12. JKLM is a parallelogram. State whether
each additional single condition will make
JKLM a rhombus. Explain your reasoning.
________________________________________
ABCD is a parallelogram.
A Opposite sides are congruent.
Yes
No
____________________________________
B Diagonals bisect each other.
8. Determine whether each statement is
true or false.
A
AE ≅ BE
True
False
B
AB ≅ CD
True
False
C
AD BC
True
False
D
AE ≅ EC
True
False
Yes
No
____________________________________
C Diagonals are perpendicular.
Yes
No
____________________________________
9. Compare the diagonals of a rhombus and
rectangle, where neither is a square. How
are they the same? How are they
different?
D Opposite angles are congruent.
Yes
No
____________________________________
________________________________________
________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
16