Geometric Figures and Basic Reasoning

What is another name for ∠2?

• ∠HJG

• ∠J

• ∠JHG

• ∠JGH

Tags

CCSS.HSG.CO.A.1

Which two angles are supplementary? Select all that apply.

• ∠EJF and ∠FJG

• ∠1 and ∠2

• ∠EFJ and ∠JFG

• ∠J and ∠1

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Which two acute angles have the same angle measure?

• ∠2 and ∠3

• ∠1 and ∠2

• ∠3 and ∠4

• ∠1 and ∠4

Tags

CCSS.4.G.A.1

CCSS.4.MD.C.5

CCSS.4.MD.C.6

CCSS.4.MD.C.7

What justifies the statement: m∠EJF = m∠HJG?

• They are both supplementary to ∠FJG.

• They are both complementary to ∠1.

• They are both obtuse angles that appear to have the same measure.

• There is no way to know for certain that the two angles have the same measure.

Which list includes ALL of the obtuse angles in the figure?

• ∠EJF, ∠FJK, ∠GJH, ∠KJE

• ∠EJF, ∠EJG, ∠FJH

• ∠EJF, ∠HJG

• ∠HJE, ∠EJF, ∠FJG

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Which of the following describes the figure appropriately?

• Horizontal ray PW intersects plane URV at point R.

• Vertical ray PW intersects plane Q at point R.

• Horizontal ray WP intersects plane RUV at point R.

• Horizontal line WP intersects plane Q at point R.

What is the converse and the truth value of the converse for the following statement?

"If an angle measures 95°, then it is obtuse."

• If it is obtuse, then an angle measures 95°; true

• If an angle is obtuse, then it measures 95°; false

• If an angle does not measure 95°, then it is not obtuse; false

• If an angle is not obtuse, then it does not measure 95°; false

Which list of reasons completes the two-column proof, in order from #2 to #7?

• 2. Multiplication property of equality

  3. Distributive property

  4. Subtraction property of equality

  5. Addition property of equality

  6. Division property of equality

  7. Symmetric property

• 2. Multiplication property of equality

  3. Distributive property

  4. Subtraction property of equality

  5. Addition property of equality

  6. Division property of equality

  7. Reflexive property

• 2. Division property of equality

  3. Distributive property

  4. Subtraction property of equality

  5. Addition property of equality

  6. Division property of equality

  7. Prove

• 2. Division property of equality

  3. Multiplication property of equality

  4. Subtraction property of equality

  5. Addition property of equality

  6. Division property of equality

  7. Symmetric property

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Which of the following is a good counterexample for the following statement?

"If a + b = 1, then a > b."

• a = 6; b = -5

• a = -4; b = 3

• a = -3; b = 4

• a = -2; b = -1

Tags

CCSS.HSA.SSE.A.1

Which expression represents the general rule for the following sequence?

3, 5, 11, 29, ...

• 3x - 4

• 2x -1

• y = 3x - 4

• 2x + 1

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2