Module 1 Topic E Quiz

In triangle ABC, midsegment DE is drawn with AC=9, BE=6, and BD=5.5, as shown.

The perimeter of triangle ABC is

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In triangle ABC, midsegment DE is drawn with AC=9, BE=6, and BD=5.5, as shown.

The perimeter of triangle DBE is

Mathematical Equivalence

OFF

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In △ABC, points R, S, and T are midpoints of sides AB, BC, and CA, respectively.  Medians AS, BT, and CR intersect at the centroid, point P.  (Figure is not drawn to scale.) 

Suppose that the ratio of the lengths of segments PR, PS, and PT is 1:2:3.  If CR=9, the length of AP is

Mathematical Equivalence

ON

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G.CO.10

In △ABC, points R, S, and T are midpoints of sides AB, BC, and CA, respectively.  Medians AS, BT, and CR intersect at the centroid, point P.  (Figure is not drawn to scale.) 

Suppose that the ratio of the lengths of segments PR, PS, and PT is 1:2:3.  If CR=9, the length of BP is

Mathematical Equivalence

ON

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G.CO.10

Consider the two triangles in the image shown below.  James says the triangles are congruent by AAS.

Which single additional assumption is needed to support his claim?

• The centroid of a triangle divides each median into two parts, from vertex to centroid and centroid to midpoint, in a ratio of 2:1

• The measures of the interior angles of a triangle sum to 180°.

• Vertical angles are congruent.

• There is no single assumption to support James’s claim.  The triangles are not congruent.

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