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