Based on the diagram, which expresses all possible lengths of segment AB? |
27 < AB < 81 |

Which angle is an adjacent interior angle to ∠JKM? |
∠MKL |

Triangle KNM is shown. What is true about the sides of KNM? |
KN = NM |

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true? |
m∠A + m∠B = 155° |

What is the m∠ABC? |
m∠ABC = 60° |

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 |

Triangle XYZ is isosceles. Angle Y measures a°. What expression represents the measure of angle X? |
180 – 2a |

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 |

In the diagram, which must be true for point D to be an orthocenter? |
BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB. |

In triangle TRS, VZ = 6 inches. What is RZ? |
12 inches |

Point Z is the incenter of ΔSRT. What is mZTB? |
31° |

In the triangles, BC = DE and AC = FE. If the mC is greater than the mE, then AB is _________ DF. |
longer than |

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°. |

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° |

What is the value of x? |
x = 22 |

In which figure is point G a centroid? |
A |

Point X is the circumcenter of ΔABC. What is the length of XB? |
5.3 cm |

Point Z is the circumcenter of ΔLMN. Which must be true? |
ZBM = ZCM |

If triangle RST is an acute triangle, then m∠S must be |
less than 90°. |

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. |

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 |

What is the length of segment NS? |
4 units |

Consider triangle WXY. Which statement about the angles is true? |
Angle W is greater than angle Y. |

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

A centroid is the intersection of three |
medians in a triangle |

# Triangles Unit Test 92%

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