Geometry
If the altitudes of a triangle meet at one of the triangles vertices, then the triangle is
(1) a right triangle
(2) an acute triangle
(3) an obtuse triangle
(4) an equilateral triangle
(1) a right triangle
Two right triangles must be congruent if
(1) an acute angle in each triangle is congruent
(2) the lengths of the hypotenuses are equal
(3) the corresponding legs are congruent
(4) the areas are equal
(3) the corresponding legs are congruent
Right triangle TMR is a scalene triangle with the right angle at M. Which equation is true?
(1) sin M = cos T
(2) sin R = cos R
(3) sin T = cos R
(4) sin T = cos M
(3) sin T = cos R
The center of circle Q has coordinates (3,-2). If circle Q passes through R(7,1), what is the length of its diameter?
(1) 50
(2) 25
(3) 10
(4) 5
(3) 10
A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a width of 8.5 feet, and a height of 4 feet. The container is completely filled with contents that weigh, on average, 0.25 pound per cubic foot. What is the weight, in pounds, of the contents in the container?
(1) 1,632
(2) 408
(3) 102
(4) 92
(3) 102
Given square RSTV, where RS = 9cm. If square RSTV is dilated by a scale factor of 3 about a given center, what is the perimeter, in centimeters, of the image of RSTV after the dilation?
(1) 12
(2) 27
(3) 36
(4) 108
(4) 108