Name:________________________________
Weekly Assignment #5
Date:______ Period:_____
Ms. Anderle
Weekly Assignment #5
1) Write a statement that is logically equivalent to the statement “If two sides of a
triangle are congruent, the angles opposite those sides are congruent.” Identify
the new statement as the converse, inverse, or contrapositive of the original
statement.
2) The endpoints of PQ are P(-3,1) and Q(4,25). Find the length of PQ.
3) In triangle ABC, AB  BC . If the ratio of m<A:m<B = 2:5, find m<A and m<B.
4) A cellular phone company provides services within a 50 mile radius of their
headquarters. If this service is represented graphically, with the headquarters
located at the coordinates (0,0), write the equation that represents the outer
boundary of the service area.
5) In two similar triangles, the ratio of the lengths of a pair of corresponding sides is
7:8. If the perimeter of the larger triangle is 32, find the perimeter of the smaller
triangle.
6) Which of the following statements is not true about the centroid of a triangle?
(1) The centroid of a triangle is point where the medians of the triangle are
concurrent.
(2) The centroid of a triangle may be located inside the triangle, on a side of the
triangle, or outside of the triangle.
(3) The centroid of a triangle divides the medians of the triangle into a ratio of
2:1.
(4) The centroid of a triangle is the center of gravity of a triangular shape of
uniform thickness and density.
7) If the lengths of two sides of a triangle measure 7 and 15, then the length of the
third side could measure:
(1) 7
(2) 8
(3) 11
(4) 24
8) If the measure of the three angles of a triangle are (y+30), (4y+30), and (10y-30),
then the triangle must be:
(1) obtuse
(2) isosceles
(3) scalene
(4) right
9) The lengths of the bases of an isosceles trapezoid are 6 centimeters and 12
centimeters. If the length of each leg is 5 cm, then what is the area of the
trapezoid?
(1) 18
(2) 36
(3) 45
(4) 90
10) The sum of the measures of the interior angles of a regular pentagon are:
(1) 180
(2) 360
(3) 540
(4) 720