Geometry Topic 5 Test Review on Relationships in Triangles

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PR =

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PS =

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m∠KML =

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KL =

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The incenter is

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The circumcenter is

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m∠FGL =

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The measure of KL =

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The median of △DEF is

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The altitude of △DEF is

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Can the lengths 14, 32, 18 form a triangle? Include the necessary work to support your answer choice.

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Can the lengths 14, 25, 29 form a triangle? Include the necessary work to support your answer choice.

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Can the lengths 37, 22, 56 form a triangle? Include the necessary work to support your answer choice.

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Can the lengths 87, 35, 41 form a triangle? Include the necessary work to support your answer choice.

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What is the length of AF? Include the necessary work to support your answer choice.

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What is the length of BD? Include the necessary work to support your answer choice.

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The cities of Verticville, Triopolis, and Angletown are joining their city budgets together to build a centrally located airport. They would like the airport to be located equidistant to each of the freeways that connect the cities as shown in the illustration. They should locate the _______________.

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What is the length of CE? Include the necessary work to support your answer choice.

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Which triangle will have its circumcenter sit outside of the triangle?

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What is the point of concurrency shown in this illustration?

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List the sides from shortest to longest in △KLM.

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Which of the following players are located on the angle bisector of the angle formed between third base, home plate, and first base? Select all that apply.

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The county wants to create a skatepark that is equidistant from each of the middle schools. Which of the following should the county use in order to do so?

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Which triangle will have its orthocenter sit outside of the triangle?

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Shown in the illustration are six different roof trusses--assume perfect vertical symmetry in each design. Determine if the truss design includes an angle bisector of ∠ABC. Select all that apply.

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Determine and clearly label the location of the circumcenter--show the process you used to determine this location.

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What is the point of concurrency shown in this illustration?

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Include all calculations/work to support your answer choice.

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What is the point of concurrency shown in this illustration?

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Given that point K is the incenter of △DEF, find the radius of the inscribed circle. Include all calculations/work to support your answer choice.

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What is the point of concurrency shown in this illustration?

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Which point of concurrency is equidistant to the vertices of a triangle?

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Which point of concurrency is equidistant to the sides of a triangle?

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PR =

PS =

m∠KML =

KL =

The incenter is

The circumcenter is

m∠FGL =

The measure of KL =

The median of △DEF is

The altitude of △DEF is

Can the lengths 14, 32, 18 form a triangle? Include the necessary work to support your answer choice.

Can the lengths 14, 25, 29 form a triangle? Include the necessary work to support your answer choice.

Can the lengths 37, 22, 56 form a triangle? Include the necessary work to support your answer choice.

Can the lengths 87, 35, 41 form a triangle? Include the necessary work to support your answer choice.

Which angle has the least measure?

Which angle has the greatest measure?

What is the length of AF? Include the necessary work to support your answer choice.

What is the length of BD? Include the necessary work to support your answer choice.

What is the length of CE? Include the necessary work to support your answer choice.

Which triangle will have its circumcenter sit outside of the triangle?

What is the point of concurrency shown in this illustration?

List the sides from shortest to longest in △KLM.

Which of the following players are located on the angle bisector of the angle formed between third base, home plate, and first base? Select all that apply.

The county wants to create a skatepark that is equidistant from each of the middle schools. Which of the following should the county use in order to do so?

Which triangle will have its orthocenter sit outside of the triangle?

Shown in the illustration are six different roof trusses--assume perfect vertical symmetry in each design. Determine if the truss design includes an angle bisector of ∠ABC. Select all that apply.

Determine and clearly label the location of the circumcenter--show the process you used to determine this location.

What is the point of concurrency shown in this illustration?

Include all calculations/work to support your answer choice.

What is the point of concurrency shown in this illustration?

Given that point K is the incenter of △DEF, find the radius of the inscribed circle. Include all calculations/work to support your answer choice.

What is the point of concurrency shown in this illustration?

Which point of concurrency is equidistant to the vertices of a triangle?

Which point of concurrency is equidistant to the sides of a triangle?

Is BC the angle bisector of ∠ABD?