Review #2 for Sem 1 Quiz 5
What conclusion can you draw?
IF THE DOORBELL RINGS, THEN
THE DOG WILL BARK.
THE DOORBELL RINGS.
THE DOG BARKS.
The sum of twice an angle and 3
times its complement is 220. Find
the measure of the angle’s
supplement.
2X + 3(90 – X) = 220
2X + 270 – 3X = 220
-X = -50
X = 50
SUPPLEMENT = 130°
Write a biconditional for the
statement below.
IF 2 ANGLES ARE CONGRUENT,
THEN THEY HAVE THE SAME
MEASURE
TWO ANGLES ARE CONGRUENT IFF
THEY HAVE THE SAME MEASURE.
Which quadrilaterals have:
OPPOSITE ANGLES CONGRUENT?
PARALLELOGRAM, RECTANGLE,
RHOMBUS
Is ADCB a valid name for the
parallelogram?
A
B
YES!
D
C
Make a logic chain, and draw a conclusion.
~H  U
M  ~U
C  ~H
~M  Z
C  ~H  U  ~M  Z
OR
~Z  M  ~U  H  ~C
C  Z OR ~Z  ~C
What conclusion can you draw?
IF THE DOORBELL RINGS, THEN
THE DOG WILL BARK.
THE DOG IS BARKING.
NO CONCLUSION!
Is DABC a valid name for the
parallelogram?
A
B
YES!
D
C
Make a logic chain, and draw a conclusion.
~M  Q
M  ~W
QL
W  ~M  Q  L
OR
~L  ~Q  M  ~W
W  L OR ~L  ~W
What conclusion can you draw?
IF THE DOORBELL RINGS, THEN
THE DOG WILL BARK.
THE DOORBELL HAS NOT RUNG.
NO CONCLUSION!
Is BDCA a valid name for the
parallelogram?
A
B
NO!
D
C
Which quadrilaterals have:
CONGRUENT DIAGONALS?
RECTANGLE & ISOS TRAPEZOID
Write a biconditional for the
statement below.
IF A POLYGON HAS 3 SIDES,
THEN IT IS A TRIANGLE.
A POLYGON HAS 3 SIDES IFF IT
IS A TRIANGLE.
Make a logic chain, and draw a conclusion.
A G
~H  D
P  ~D
H  ~G
A  G  ~H  D  ~P
OR
P  ~D  H  ~G  ~A
A  ~P OR P  A
Write a biconditional for the
statement below.
IF 2 LINES IN A PLANE DO NOT
INTERSECT, THEN THEY ARE
PARALLEL.
2 LINES IN A PLANE DO NOT
INTERSECT IFF THEY ARE PARALLEL.
Is BADC a valid name for the
parallelogram?
A
B
YES!
D
C
What conclusion can you draw?
IF THE DOORBELL RINGS, THEN
THE DOG WILL BARK.
THE DOG IS QUIET.
THE DOORBELL HAS NOT RUNG.
Which quadrilaterals have:
PERPENDICULAR SIDES?
RECTANGLE
Is BCAD a valid name for the
parallelogram?
A
B
NO!
D
C
Which quadrilaterals have:
4 CONGRUENT SIDES?
RHOMBUS
Is ACDB a valid name for the
parallelogram?
A
B
NO!
D
C
The sum of an angle’s complement
and its supplement is 210. find the
measure of the angle’s supplement.
90 – X + 180 – X = 210
270 – 2X = 210
-2X = -60
X = 30
SUPPLEMENT = 150°
Three times and angle, subtracted
from the angle’s supplement is 100.
Find the measure of the angle’s
complement.
180 – X – 3X = 100
-4X = -80
X = 20
COMPLEMENT = 160°
Which quadrilaterals have:
PERPENDICULAR DIAGONALS?
RHOMBUS
Which quadrilaterals have:
DIAGONALS THAT BISECT EACH
OTHER?
PARALLELOGRAM, RECTANGLE,
RHOMBUS
What conclusion can you draw?
IF THE DOORBELL RINGS, THEN
THE DOG WILL BARK.
IF THE DOG BARKS, THE CAT
WILL HIDE.
IF THE DOORBELL RINGS, THEN
THE CAT WILL HIDE.
Is ABCD a valid name for the
parallelogram?
A
B
YES!
D
C
Write a biconditional for the
statement below.
IF TODAY IS FRIDAY, THEN
TOMORROW IS SATURDAY.
TODAY IS FRIDAY IFF
TOMORROW IS SATURDAY.
Is CBAD a valid name for the
parallelogram?
A
B
YES!
D
C