Unit 4 and Unit 5 geometry tests
A 30-inch segment is cut into two parts whose lengths have the ratio 3 to 5. Find the length of the shortest part. 6 2 11.25 3.75
11.25
Two complementary angles have measures in the ratio of 1 to 5. Find the measure of each angle. 18 and 72 36 and 144 15 and 75 30 and 150
15 and 75
The perimeter of a triangle is 48 inches and the sides are in the ratio of 3:4:5. Find the length of the longest side. 16 4 9 20
20
A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other lengths are in the ratio of 2 units : 3 units. 6 4 7 1/5 3 1/3
4
If 9 : x = x:4, then x = _____. 6 24 36 18
6
orthocenter
A point in which the three altitudes of the triangle intersect. It is possible for the orthocenter to occur on the triangle, on the interior of the triangle or on the exterior of the triangle.
centroid
a point on the interior of a triangle in which the three medians of the triangle intersect
altitude of a triangle
a segment from a vertex perpendicular to the opposite side
median of a triangle
a segment from a vertex to the midpoint of the opposite side
A parallelogram is_______ a quadrilateral. Always, sometimes, never
always
A rhombus is _________ a parallelogram.
always
A square is ________ a rhombus. Always, sometimes, never
always
If a diagonal is drawn in a parallelogram, then two congruent triangles are_________ formed. Always, sometimes, never
always
If three corresponding sides of one triangle are proportional to three sides of another, then the triangles are similar. always sometimes never
always
The diagonal of a parallelogram ________ creates alternate interior angles. Always, sometimes, never
always
The diagonals of a rhombus are _________ perpendicular. Always, sometimes, never
always
The perimeters of similar triangles are in the same ratio as the corresponding sides. Sometimes Never Always
always
The transitive property holds true for similar figures. Sometimes Always Never
always
A quadrilateral is_________ a parallelogram. Always, sometimes, never
sometimes
If a line intersects two sides of a triangle, then it forms a triangle that is similar to the given triangle. sometimes never always
sometimes
If two angles of one polygon are equal to two angles of a second polygon, then the two polygons are similar. always never sometimes
sometimes
Similar triangles are congruent. always sometimes never
sometimes
To be considered similar, two polygons _____ have corresponding sides that are equal. sometimes always never
sometimes