# Triangles Unit Test 92%

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question
Based on the diagram, which expresses all possible lengths of segment AB?
27 < AB < 81
question
Which angle is an adjacent interior angle to ∠JKM?
∠MKL
question
Triangle KNM is shown. What is true about the sides of KNM?
KN = NM
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If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
m∠A + m∠B = 155°
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What is the m∠ABC?
m∠ABC = 60°
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Point H is the circumcenter of triangle DEF. Which must be true? Check all that apply.
Point H is the center of the circle that passes through points D, E, and F. HE = HD LH = NH
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Triangle XYZ is isosceles. Angle Y measures a°. What expression represents the measure of angle X?
180 - 2a
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The lengths of the sides of triangle XYZ are in terms of the variable m, where m ≥ 6. Which is correct regarding the angles of the triangle?
mY < mZ < mX
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In the diagram, which must be true for point D to be an orthocenter?
BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
question
In triangle TRS, VZ = 6 inches. What is RZ?
12 inches
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Point Z is the incenter of ΔSRT. What is mZTB?
31°
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In the triangles, BC = DE and AC = FE. If the mC is greater than the mE, then AB is _________ DF.
longer than
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Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?
Angle L is a base angle and measures 72°.
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A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex. The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?
54°
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What is the value of x?
x = 22
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In which figure is point G a centroid?
A
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Point X is the circumcenter of ΔABC. What is the length of XB?
5.3 cm
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Point Z is the circumcenter of ΔLMN. Which must be true?
ZBM = ZCM
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If triangle RST is an acute triangle, then m∠S must be
less than 90°.
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Which statements regarding the diagram of ΔEBC are true? Check all that apply.
∠DEC is an exterior angle. ∠ABE and ∠EBC are supplementary angles. ∠BEC is a remote interior angle to exterior ∠BCF.
question
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 8 cm
question
What is the length of segment NS?