kristasearles
kristasearles kristasearles
  • 03-01-2018
  • Mathematics
contestada

Which of the following must be true? The diagram is not to scale.

A) BC < FH
B) AC = FH
C) AB < BC
D) AC < FH

Which of the following must be true The diagram is not to scale A BC lt FH B AC FH C AB lt BC D AC lt FH class=

Respuesta :

jimthompson5910 jimthompson5910
  • 03-01-2018
Answer: Choice D

By the hinge theorem, we know that the opposite side of the given angles will be larger as you increase the angle. Basically think of a door opening. The greater or wide the door is open, the larger the hinge angle leading to a larger distance from door to frame. 

We see that angle G = 70 is larger than angle B = 28. So the opposite side HF must be larger than side AC

Note: the hinge theorem only works if we know two pairs of sides are congruent like this
Answer Link

Otras preguntas

area of the park is halfway between 2.4 and 2.5 what is the area of the park
How do you say-her favourite colour is pink- in Spanish.???
how does the climate of the northeast affect the people/ animals/and plants that live there
the dwarf sea horse hippocampus zosterae swims at a rate of 52.68 feet per hour convert this speed to inches per minute.
During the first two years of World War 1, Russia
Please Help!!! A gym teacher orders 42 tennis balls. Each package contains 3 tennis balls. Which of the following equations represents the number (x) of package
The area of a rectangle is 60 square inches. The length of the rectangle is 7 inches longer than the width. Which equation models the situation? a. w+7=60 b.
which number is greater 9.23 or 9.32
What are the 2 ways to describe matter
3x+15-7x=-7 solve for x