Exam 9: Geometry

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Provide a STATEMENT/REASON proof for the congruence. - Provide a STATEMENT/REASON proof for the congruence. -  Given:  A B = C D , B E = F C  and  \angle B \cong \angle C . Prove:  \triangle \mathrm { AEF } \cong \triangle \mathrm { DFE } Given: AB=CD,BE=FCA B = C D , B E = F C and ∠B≅∠C\angle B \cong \angle C . Prove: △AEF≅△DFE\triangle \mathrm { AEF } \cong \triangle \mathrm { DFE }

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For the given pair of similar triangles, name the corresponding side or angle in the other triangle. -For the given pair of similar triangles, name the corresponding side or angle in the other triangle. -

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Use the properties of parallel lines to solve the problem. -If p∥q\mathrm { p } \| \mathrm { q } and m∠8=40∘\mathrm { m } \angle 8 = 40 ^ { \circ } , what are the measures of the other angles?  Use the properties of parallel lines to solve the problem. -If  \mathrm { p } \| \mathrm { q }  and  \mathrm { m } \angle 8 = 40 ^ { \circ } , what are the measures of the other angles?

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Decide whether the statement is true or false. -The sum of the measures of the exterior angles of any quadrilateral is 360°.

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Decide whether the figure is convex or not convex. -Decide whether the figure is convex or not convex. -

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Provide a STATEMENT/REASON proof for the congruence. - Provide a STATEMENT/REASON proof for the congruence. -  Given:  \mathrm { AC } = \mathrm { BD } , \angle \mathrm { ACD } = \angle \mathrm { BDC }  Prove:  \triangle \mathrm { ACD } \simeq \triangle \mathrm { BDC } Given: AC=BD,∠ACD=∠BDC\mathrm { AC } = \mathrm { BD } , \angle \mathrm { ACD } = \angle \mathrm { BDC } Prove: △ACD≃△BDC\triangle \mathrm { ACD } \simeq \triangle \mathrm { BDC }

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Based on the figure, specify the given set in a simpler way. -Based on the figure, specify the given set in a simpler way. -

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Solve the problem. -Ivan, who is 1.70 m tall, wishes to find the height of a tree. He walks 19.82 m from the base of the tree along the shadow of the tree until his head is in a position where the tip of his shadow exactly Overlaps the end of the tree top's shadow. He is now 5.27 m from the end of the shadows. How tall Is the tree? Round to the nearest hundredth. Solve the problem. -Ivan, who is 1.70 m tall, wishes to find the height of a tree. He walks 19.82 m from the base of the tree along the shadow of the tree until his head is in a position where the tip of his shadow exactly Overlaps the end of the tree top's shadow. He is now 5.27 m from the end of the shadows. How tall Is the tree? Round to the nearest hundredth.

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

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Solve the problem. -A lake lies between A and C, and lines AB and DE run north-south. If AB = 8.0 mi, DE = 2.0 mi, and DC = 1.3 mi, how far is it from A to C? Round to the nearest tenth. Solve the problem. -A lake lies between A and C, and lines AB and DE run north-south. If AB = 8.0 mi, DE = 2.0 mi, and DC = 1.3 mi, how far is it from A to C? Round to the nearest tenth.

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Decide whether the statement is true or false. -Regular polygons must have all equal sides but do not necessarily have to have all equal angles.

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Solve the problem. -A line from the top of a cliff to the ground passes just over the top of a pole 9.0 ft high and meets the ground at a point 8.0 ft from the base of the pole. If the point is 97 ft from the base of the cliff, How high is the cliff? Round to the nearest unit.

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For the given pair of similar triangles, name the corresponding side or angle in the other triangle. - ∠B\angle B  For the given pair of similar triangles, name the corresponding side or angle in the other triangle. - \angle B

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Decide whether the figure is convex or not convex. -Decide whether the figure is convex or not convex. -

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Solve the problem. -Ivan, who is 1.78 m tall, wishes to find the height of a tree with a shadow 34.03 m long. He walks 18.12 m from the base of the tree along the shadow of the tree until his head is in a position where The tip of his shadow exactly overlaps the end of the tree top's shadow. How tall is the tree? Round To the nearest hundredth. Solve the problem. -Ivan, who is 1.78 m tall, wishes to find the height of a tree with a shadow 34.03 m long. He walks 18.12 m from the base of the tree along the shadow of the tree until his head is in a position where The tip of his shadow exactly overlaps the end of the tree top's shadow. How tall is the tree? Round To the nearest hundredth.

(Multiple Choice)
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The two triangles below are similar. Find the unknown side lengths. - △CAB\triangle \mathrm { CAB } is similar to △CSR\triangle \mathrm { CSR }  The two triangles below are similar. Find the unknown side lengths. - \triangle \mathrm { CAB }  is similar to  \triangle \mathrm { CSR }     Given that  S C = 20 , A S = 30 , R S = 6 , find  A B .  Given that SC=20,AS=30,RS=6S C = 20 , A S = 30 , R S = 6 , find ABA B .

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The corresponding angles of two parallel lines cut by a transversal are always complimentary.

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Two vertical angles cannot be complementary.

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Solve the problem. -What is the radius of the circle? Solve the problem. -What is the radius of the circle?

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Find the area. -Find the area. -

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