Sol Geometry

Which Venn diagram accurately represents the information in the following statement?

If a triangle is equilateral, then it is isosceles.

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The graph of line j is shown. Which ratio represents the slope of a line parallel to line j?

• 3/7

• 5/7

• 7/5

• ⁷/3

Choose from the answer choices in the grey box and complete the empty white boxes.

Let p represent: Brent works this summer.

Let q represent: Brent takes a vacation.

Symbolically represent the following argument.

If Brent works this summer, then he will not take a vacation. Brent takes a vacation. Therefore, Brent does not work this summer.

• p → ~q; q; ~p

• p → q; q; ~p

• p → ~q; ~q; ∴~p

• ~p → ~q; q; ∴~p

• p → ~q; q; ∴~p

Which type of construction is illustrated in the figure?

• The bisector of a given angle.

• An angle congruent to a given angle.

• A line segment congruent to a given line segment.

• A line segment perpendicular to a given line segment.

The diagram represents the stripes used to mark parking spaces on a lot. Based only on the information given, which diagram could be used to prove segment AB is parallel to segment CD and segment AC is parallel to segment BD?

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Given statements:

If a shape is a parallelogram, then opposite angles are congruent. A rhombus is a parallelogram.

Which is a logical conclusion from the given statements?

• A rhombus has opposite angles that are congruent.

• The opposite sides of a rhombus are congruent.

• The diagonals of a rhombus are congruent.

• A rhombus is a quadrilateral.

Which figures appears to have exactly two lines of symmetry?

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Which is the converse of the following statement?

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Which graph best represents a line perpendicular to line k?

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Which statement describes the construction being illustrated on the rectangle shown?

• A bisector of segment AB

• A line segment congruent to segment AB

• A perpendicular to segment AB through point E on segment AB

• A perpendicular to segment AB through point G not on segment AB