Unit 4 and Unit 5 geometry tests

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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


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