Review #2 for Sem 1 Quiz 5

IF THE DOORBELL RINGS, THEN THE DOG WILL BARK. What conclusion can you draw? THE DOORBELL RINGS. THE DOG BARKS.

2X + 3(90 – X) = 220 The sum of twice an angle and 3 times its complement is 220. Find the measure of the angle’s supplement. 2X – 3X = 220 -X = -50 X = 50 X = 50 SUPPLEMENT = 130°

IF 2 ANGLES ARE CONGRUENT, THEN THEY HAVE THE SAME MEASURE Write a biconditional for the statement below. TWO ANGLES ARE CONGRUENT IFF THEY HAVE THE SAME MEASURE.

OPPOSITE ANGLES CONGRUENT? Which quadrilaterals have: PARALLELOGRAM, RECTANGLE, RHOMBUS

Is ADCB a valid name for the parallelogram? YES! A D C B

~H  U M  ~U C  ~H ~M  Z Make a logic chain, and draw a conclusion. C  ~H  U  ~M  Z OR ~Z  M  ~U  H  ~C C  Z OR ~Z  ~C

What conclusion can you draw? THE DOG IS BARKING. NO CONCLUSION! IF THE DOORBELL RINGS, THEN THE DOG WILL BARK.

Is DABC a valid name for the parallelogram? YES! A D C B

~M  Q M  ~W Q  L Make a logic chain, and draw a conclusion. W  ~M  Q  L OR ~L  ~Q  M  ~W W  L OR ~L  ~W

What conclusion can you draw? THE DOORBELL HAS NOT RUNG. NO CONCLUSION! IF THE DOORBELL RINGS, THEN THE DOG WILL BARK.

Is BDCA a valid name for the parallelogram? NO! A D C B

CONGRUENT DIAGONALS? Which quadrilaterals have: RECTANGLE & ISOS TRAPEZOID

IF A POLYGON HAS 3 SIDES, THEN IT IS A TRIANGLE. Write a biconditional for the statement below. A POLYGON HAS 3 SIDES IFF IT IS A TRIANGLE.

A  G ~H  D P  ~D H  ~G Make a logic chain, and draw a conclusion. A  G  ~H  D  ~P OR P  ~D  H  ~G  ~A A  ~P OR P  A

IF 2 LINES IN A PLANE DO NOT INTERSECT, THEN THEY ARE PARALLEL. Write a biconditional for the statement below. 2 LINES IN A PLANE DO NOT INTERSECT IFF THEY ARE PARALLEL.

Is BADC a valid name for the parallelogram? YES! A D C B

What conclusion can you draw? THE DOG IS QUIET. THE DOORBELL HAS NOT RUNG. IF THE DOORBELL RINGS, THEN THE DOG WILL BARK.

PERPENDICULAR SIDES? Which quadrilaterals have: RECTANGLE

Is BCAD a valid name for the parallelogram? NO! A D C B

4 CONGRUENT SIDES? Which quadrilaterals have: RHOMBUS

Is ACDB a valid name for the parallelogram? NO! A D C B

90 – X – X = 210 The sum of an angle’s complement and its supplement is 210. find the measure of the angle’s supplement. 270 – 2X = X = -60 X = 30 X = 30 SUPPLEMENT = 150°

180 – X – 3X = 100 Three times and angle, subtracted from the angle’s supplement is 100. Find the measure of the angle’s complement. -4X = -80 X = 20 X = 20 COMPLEMENT = 160°

PERPENDICULAR DIAGONALS? Which quadrilaterals have: RHOMBUS

DIAGONALS THAT BISECT EACH OTHER? Which quadrilaterals have: PARALLELOGRAM, RECTANGLE, RHOMBUS

What conclusion can you draw? IF THE DOG BARKS, THE CAT WILL HIDE. IF THE DOORBELL RINGS, THEN THE CAT WILL HIDE. IF THE DOORBELL RINGS, THEN THE DOG WILL BARK.

Is ABCD a valid name for the parallelogram? YES! A D C B

IF TODAY IS FRIDAY, THEN TOMORROW IS SATURDAY. Write a biconditional for the statement below. TODAY IS FRIDAY IFF TOMORROW IS SATURDAY.

Is CBAD a valid name for the parallelogram? YES! A D C B