Geometry SA 1 Review

In below, m ||n and m ⊥ s. Based on the information, which statement(s) can be proven true? Select TWO correct answers.

• ∠ BDC ≅ ∠ ABD

• ∠ BDC is an acute angle.

• ∠ BDC is a right angle.

• ∠ BDC is an obtuse angle.

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CCSS.8.G.A.5

Answer the question on the picture.

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CCSS.8.G.A.5

If two lines intersect at a point, two pairs of vertical angles are formed. Which statement(s), if any, are true?

            I. If two lines do not intersect, two pairs of vertical angles are not formed.

            II. If two pairs of vertical angles are formed, the two lines intersect.

• Only Statement I is correct.

• Only Statement II is correct.

• Both Statements I and II are correct.

• Neither statement is correct.

Tags

CCSS.7.G.B.5

Point B is the midpoint of line AC. If point A is (-4, 2) and point B  is (3/2, -1/2), what are the coordinates of point C? Refer to the picture on the right.

Tags

CCSS.HSG.GPE.B.6

Answer the question on the picture.

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CCSS.8.G.A.5

Jennifer learned that a right triangle is a triangle with one right angle.

 Jennifer concluded that all triangles are right triangles.

    Which of the following is a counterexample to Jennifer’s conclusion?

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• Jennifer’s conclusion is correct.

Tags

CCSS.2.G.A.1

The two conditional statements below are true.

I. If ∠3 and ∠4 form a linear pair, then they are supplementary.

II. If ∠3 and ∠4 are supplementary, then m∠3+m∠4=180°.

Based on the Law of Syllogism, which statement must also be true?

• If m∠3 + m∠4 = 180˚, then ∠3 and ∠4 form a linear pair.

• If ∠3 and ∠4 form a linear pair, then m∠3 = 90˚ and m∠4 = 90˚.

• If ∠3 and ∠4 form a linear pair, then m∠3 + m∠4 = 180˚.

• If ∠3 and ∠4 are supplementary, then ∠3 and ∠4 form a linear pair.

In each of the following figures, transversal c cuts lines a and b. In which figure are ∠1 and ∠2 corresponding angles?

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Tags

CCSS.8.G.A.5