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Geometry Quiz: Triangles and Distances

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Questions and Answers

Which of the following statements is true regarding an equilateral triangle?

The angles can vary in measure.
It can have a right angle.
It must contain obtuse angles.
All angles are acute. (correct)

What is the perimeter comparison between an isosceles triangle with a 65° vertex angle and an equilateral triangle with equal side lengths?

The equilateral triangle has a greater perimeter.
The perimeter cannot be determined without specific lengths.
Both triangles have equal perimeters.
The isosceles triangle has a greater perimeter. (correct)

Which point describes the location of the orthocenter in triangle ABC as defined by vertices A(1, 4), B(−3, 4), and C(1, 1)?

(1, 1)
(1, 4) (correct)
(−3, 4)
It cannot be determined from given data.

Given the midpoint M(9, 11) and one endpoint N(7, 5), what is the correct calculation for finding endpoint G?

<p>G(11, 17) (D)</p> Signup and view all the answers

What distance is calculated between points M(6, -16) and Z(-1, 14) to the nearest tenth?

<p>$18.0$ (B)</p> Signup and view all the answers

Flashcards

Find the value of x

Determine the unknown variable in a given equation or geometric problem involving angles, sides, or coordinate points.

Identify contradictory statements

Locate two statements within a problem that contradict each other, either by direct opposition of the contents or by logical inconsistencies

List angles of ABC (smallest to largest)

Arrange the angles of triangle ABC in ascending order according to their measures.

List sides of ABC (smallest to largest)

Order the sides of triangle ABC from shortest to longest based on their length.

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Triangle Midsegment Theorem

A line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side.