Triangles Unit Test 92%

7 September 2022
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25 test answers

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question
Based on the diagram, which expresses all possible lengths of segment AB?
answer
27 < AB < 81
question
Which angle is an adjacent interior angle to ∠JKM?
answer
∠MKL
question
Triangle KNM is shown. What is true about the sides of KNM?
answer
KN = NM
question
If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
answer
m∠A + m∠B = 155°
question
What is the m∠ABC?
answer
m∠ABC = 60°
question
Point H is the circumcenter of triangle DEF. Which must be true? Check all that apply.
answer
Point H is the center of the circle that passes through points D, E, and F. HE = HD LH = NH
question
Triangle XYZ is isosceles. Angle Y measures a°. What expression represents the measure of angle X?
answer
180 - 2a
question
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?
answer
mY < mZ < mX
question
In the diagram, which must be true for point D to be an orthocenter?
answer
BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
question
In triangle TRS, VZ = 6 inches. What is RZ?
answer
12 inches
question
Point Z is the incenter of ΔSRT. What is mZTB?
answer
31°
question
In the triangles, BC = DE and AC = FE. If the mC is greater than the mE, then AB is _________ DF.
answer
longer than
question
Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?
answer
Angle L is a base angle and measures 72°.
question
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?
answer
54°
question
What is the value of x?
answer
x = 22
question
In which figure is point G a centroid?
answer
A
question
Point X is the circumcenter of ΔABC. What is the length of XB?
answer
5.3 cm
question
Point Z is the circumcenter of ΔLMN. Which must be true?
answer
ZBM = ZCM
question
If triangle RST is an acute triangle, then m∠S must be
answer
less than 90°.
question
Which statements regarding the diagram of ΔEBC are true? Check all that apply.
answer
∠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?
answer
8 cm and 8 cm
question
What is the length of segment NS?
answer
4 units
question
Consider triangle WXY. Which statement about the angles is true?
answer
Angle W is greater than angle Y.
question
Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters. Given the angles in the diagram, who is closer to the treasure chest and why?
answer
Mia is closer because her distance to the chest is opposite the smaller angle.
question
A centroid is the intersection of three
answer
medians in a triangle