Is KM ∥ JN? Why or why not? |
D; Yes, because 16/10= 24/15 |

What is the length of ? GD = |
10.5 |

Points S, U, and T are the midpoints of the sides of PQR. Which statements are correct? Check all that apply. |
1/2QP = UT SU ∥ RP |

To prove part of the triangle midsegment theorem using the diagram, which statement must be shown? |
The length of GH is half the length of KL. |

What is the length of BC? From the markings on the diagram, we can tell E is the midpoint of BC and __ is the midpoint of AC We can apply the _____________________ theorem: ED = BA. Substituting in the expressions for the lengths and solving for x, we get x = __. Now, since BE = x, then BC = __ |
D triangle midsegment 5 10 |

What is the distance between points M and N? |
9.8 |

Which value of x would make LK ∥ OM? |
x = 8 |

The diagram shows the intersections of several straight roads. The avenues run parallel to each other. Amana walks along Oak from point A to B. To the nearest foot, how far does she walk? |
226 ft |

Given: STU with Prove: SX/XU = TY/YU Complete the steps of the proof. |
triangle STU is similar to triangle XYU subtraction property |

MO, MN, and ON are the midsegments of △JKL. What is the perimeter of △JKL? |
19 |

If V is the midpoint of QS and W is the midpoint of RS, then what is VS? |
20 units |

Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE. What is EC? |
2.4 units |

Using the side-splitter theorem, which segment length would complete the proportion? GH/HE = ?/JF |
GJ |

What is the length of AJ if AB ∥ JK? |
8.75 in |

Use the triangle midsegment theorem to solve for x. What is AX? |
4 units |

Points O and N are midpoints of the sides of triangle DEF. What is DM? |
38 cm |

Points J and K are midpoints of the sides of triangle FGH. What is the value of y? |
7 |

Points A and B are midpoints of the sides of triangle QRS. What is SA? |
4 m |

If CX = 5 units, then DZ = __ units. |
4 |

Consider the paragraph proof. Given: D is the midpoint of AB, and E is the midpoint of AC. It is given that D is the midpoint of AB and E is the midpoint of AC. To prove that DE is half the length of BC, the distance formula, d = , can be used to determine the lengths of the two segments. The length of BC can be determined with the equation BC = , which simplifies to 2a. The length of DE can be determined with the equation DE = , which simplifies to ________. Therefore, BC is twice DE, and DE is half BC. Which is the missing information in the proof? |
a |

# Using Triangle Similarity Theorems Assignment and Quiz

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