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Triangles — Test Answers

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What is the length of XB ?

4 point 2 cm

5 point 3 cm

4 point 6 cm

4 point 8 cm

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Which statement about the value of x is true?

x is greater than 103

x is less than 39

x is less than 77

x is greater than 38

What is the length of segment NS ?

6 units

2 units

1 unit

4 units

Based on the diagram, which expresses all possible lengths of segment AB ?

AB is equal to 85

AB is less than 27 or AB is greater than 81

27 is less than AB comma AB is less than 81

AB is equal to 25

Which must be true? Choose two correct answers.

line segment LH is congruent to line segment NH

Point cap h is the center of the circle that passes through points cap d , cap e , and cap f .

line segment FL is congruent to line segment FN

Point cap h is the center of the circle that passes through points cap l , cap m , and cap n .

line segment HE is congruent to line segment HD

What is m angle ABC ?

m angle ABC is equal to 60 degrees

m angle ABC is equal to 75 degrees

m angle ABC is equal to 45 degrees

m angle ABC is equal to 15 degrees

What is the value of x ?

x is equal to 11 point 2 5

x is equal to 2 point 2 5

x is equal to 13

x is equal to 22

In the diagram, which must be true for point cap d to be an orthocenter?

line segment BE , line segment CF , and line segment AG are angle bisectors.

line segment BE bisects line segment AC , line segment CF bisects line segment AB , and line segment AG bisects line segment BC .

line segment BE is a perpendicular bisector of line segment AC , line segment CF is a perpendicular bisector of line segment AB , and line segment AG is a perpendicular bisector of line segment BC .

line segment BE perpendicular to line segment AC , line segment AG perpendicular to line segment BC , and line segment CF perpendicular to line segment AB .

Which must be true?

line segment AN is congruent to line segment LB

angle BMZ is congruent to angle CMZ

line segment NC is congruent to line segment BZ

angle ZBM is congruent to angle ZCM

Which is correct regarding the angles of the triangle?

m angle cap z is less than m angle cap y comma m angle cap y is less than m angle cap x

m angle cap y is less than m angle cap z comma m angle cap z is less than m angle cap x

m angle cap y is less than m angle cap x comma m angle cap x is less than m angle cap z

m angle cap x is less than m angle cap z comma m angle cap z is less than m angle cap y

What expression represents the measure of angle cap x ?

A over 2

2 A

180 minus 2 A

90 minus A

What is true about the sides of KNM ?

KN is equal to NM

KN is equal to 1 half KM

KN plus NM is equal to KM

KM is equal to 2 times NM

Which statements regarding the diagram of triangle EBC are true? Choose three correct answers.

angle BEC is a remote interior angle to exterior angle BCF .

angle BEC is an exterior angle.

angle BCF and angle DEC are supplementary angles.

angle ABE and angle EBC are supplementary angles.

angle DEC is an exterior angle.

Given the angles in the diagram, who is closer to the treasure chest and why?

Mia is closer because her distance from the chest is 100 meters.

Nigel is closer because his distance from the chest is 100 meters.

Nigel is closer because his distance to the chest is opposite the larger angle.

Mia is closer because her distance to the chest is opposite the smaller angle.

Triangle JKL is isosceles. The measure of angle cap j is 72 degrees and the measure of angle cap k is 36 degrees Which statement describes angle cap l ?

Angle cap l is a vertex angle and measures 36 degrees .

Angle cap l is a base angle and measures 72 degrees .

Angle cap l is a base angle and measures 36 degrees .

Angle cap l is a vertex angle and measures 72 degrees .

If triangle ABC has a 130 degrees angle at vertex cap b , which statement must be true?

m angle cap A is equal to 15 degrees and m angle cap c is equal to 35 degrees

m angle cap A plus m angle cap c is equal to 50 degrees

m angle cap A plus m angle cap b is equal to 180 degrees

m angle cap A is equal to 20 degrees and m angle cap c is equal to 20 degrees

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

8 cm and 9 cm

6 cm and 7 cm

7 cm and 2 cm

5 cm and 8 cm

If triangle RST is an acute triangle, then m angle cap s must be

greater than 90 degrees and less than 180 degrees .

equal to 100 degrees .

less than 90 degrees .

equal to 90 degrees .

In which figure is point cap g a centroid?

Image with description A geometry diagram showing triangle J H K with an interior point G connected to all three vertices. Three right-angle markers indicate that the segments from G meet each side of the triangle at right angles.

Image with description A geometry diagram showing an isosceles triangle with vertex D at the top and base F E. Matching marks indicate the two sloping sides are equal, the base is bisected, and line segments from an interior point G connect to the sides, base endpoints, and the midpoint of the base.

Image with description A triangle with vertices A at the top left, B at the bottom right, and C at the bottom left. An interior point G is connected to vertices A, B, and C by segments A G, B G, and C G. Additional segments from points on the sides of the triangle also connect to G. A right-angle marker at C indicates that A C is perpendicular to B C.

Image with description A geometry diagram showing triangle L M N with an interior point G connected to the vertices and sides by several line segments. Matching angle arcs at vertices L, M, and N indicate marked angles, and the interior segments intersect at point G.

What is m angle ZTB ?

31 degrees

24 degrees

35 degrees

62 degrees

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