Exam 9: Geometry

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Use the properties of parallel lines to solve the problem. -In the figure, AB‾∥CD‾,m∠ABC=65∘\overline { \mathrm { AB } } \| \overline { \mathrm { CD } } , \mathrm { m } \angle \mathrm { ABC } = 65 ^ { \circ } . Find the measures of angles ∠ABE,∠FCD\angle \mathrm { ABE } , \angle \mathrm { FCD } , and ∠BCD\angle \mathrm { BCD } .  Use the properties of parallel lines to solve the problem. -In the figure,  \overline { \mathrm { AB } } \| \overline { \mathrm { CD } } , \mathrm { m } \angle \mathrm { ABC } = 65 ^ { \circ } . Find the measures of angles  \angle \mathrm { ABE } , \angle \mathrm { FCD } , and  \angle \mathrm { BCD } .

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Find the area. -Find the area. -

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Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene. -Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene. -

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Refer to the given figure, an isosceles triangle with AB = AC.  Refer to the given figure, an isosceles triangle with AB = AC.   -If  \angle \mathrm { C }  measures  13 ^ { \circ }  find the measure of  \angle \mathrm { A } . -If ∠C\angle \mathrm { C } measures 13∘13 ^ { \circ } find the measure of ∠A\angle \mathrm { A } .

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Find the area. -Find the area. -   (a trapezoid) (a trapezoid)

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Give the measure of the missing angle using the similar triangles below. - ∠ABC\angle A B C  Give the measure of the missing angle using the similar triangles below. - \angle A B C      \triangle \mathrm { ABC } \sim \triangle \mathrm { A } ^ { \prime } \mathrm { B } ^ { \prime } \mathrm { C } ^ { \prime } △ABC∼△A′B′C′\triangle \mathrm { ABC } \sim \triangle \mathrm { A } ^ { \prime } \mathrm { B } ^ { \prime } \mathrm { C } ^ { \prime }

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Match the symbol with the answer choice that names the same set of points based on the given figure. -Match the symbol with the answer choice that names the same set of points based on the given figure. -

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Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. - Give the symbol that represents the portion of the line named and draw a figure showing just the portion named. -   \text { Ray PR }    Ray PR \text { Ray PR }

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Solve the problem. -The length of a rectangle is 16 meters, and the width is 12 meters. Find the measure of the diagonal of the rectangle. Solve the problem. -The length of a rectangle is 16 meters, and the width is 12 meters. Find the measure of the diagonal of the rectangle.

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Find the measure of the angles. - Find the measure of the angles. -    \angle A=(2 p)^{\circ}, \angle B=p^{\circ} ∠A=(2p)∘,∠B=p∘\angle A=(2 p)^{\circ}, \angle B=p^{\circ}

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The two triangles below are similar. Find the unknown side lengths. -The two triangles below are similar. Find the unknown side lengths. -

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Solve the problem. -A church steeple casts a shadow 109 ft long, and at the same time a 9.0-ft post casts a shadow 5.0 ft long. How high is the steeple? Round to the nearest unit.

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Identify the curve as simple, closed, both, or neither. -Identify the curve as simple, closed, both, or neither. -

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Decide whether the statement is true or false. -If a triangle is equilateral (all sides the same), then it cannot be obtuse.

(True/False)
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a and b represent the two legs of a right triangle, while c represents the hypotenuse. Find the length of the unknown side. - a=12 km,c=20 km\mathrm { a } = 12 \mathrm {~km} , \mathrm { c } = 20 \mathrm {~km}

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 Refer to this figure to answer the question. Assume CF↔ and GJ↔ are parallel. \text { Refer to this figure to answer the question. Assume } \overleftrightarrow { \mathrm { CF } } \text { and } \overleftrightarrow { \mathrm { GJ } } \text { are parallel. } \text { Refer to this figure to answer the question. Assume } \overleftrightarrow { \mathrm { CF } } \text { and } \overleftrightarrow { \mathrm { GJ } } \text { are parallel. }     -Are  \angle \mathrm { CDA }  and  \angle \mathrm { ADE }  vertical angles? -Are ∠CDA\angle \mathrm { CDA } and ∠ADE\angle \mathrm { ADE } vertical angles?

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Two parallel lines never meet because they lie in different planes.

(True/False)
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If two lines do not meet and they are not parallel, they must be skew.

(True/False)
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Provide a STATEMENT/REASON proof for the congruence. - Provide a STATEMENT/REASON proof for the congruence. -  Given:  \angle \mathrm { AST } = \angle \mathrm { RTS } , \mathrm { AS } = \mathrm { RT }  Prove:  \triangle \mathrm { SAT } \cong \triangle \mathrm { TRS } Given: ∠AST=∠RTS,AS=RT\angle \mathrm { AST } = \angle \mathrm { RTS } , \mathrm { AS } = \mathrm { RT } Prove: △SAT≅△TRS\triangle \mathrm { SAT } \cong \triangle \mathrm { TRS }

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Give the measure of the missing angle using the similar triangles below. - ∠BAC\angle \mathrm { BAC }  Give the measure of the missing angle using the similar triangles below. - \angle \mathrm { BAC }      \triangle \mathrm { ABC } \sim \triangle \mathrm { A } ^ { \prime } \mathrm { B } ^ { \prime } \mathrm { C } ^ { \prime } △ABC∼△A′B′C′\triangle \mathrm { ABC } \sim \triangle \mathrm { A } ^ { \prime } \mathrm { B } ^ { \prime } \mathrm { C } ^ { \prime }

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