Abeka Geometry Test 9 Exam

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Multiple Choice Altitude CD is drawn to hypotenuse AB of the right triangle ABC. (AC) squared equals

AB x AD

Doubling the lengths of the sides of similar triangles, will also double the ratio of similitude of those triangles

False

If the live a right triangle are 6 and 8, then the hypotenuse is 11

False

The altitude hypotenuse of a right triangle is the third proportional between the two segments of the hypotenuse that it forms

False

True/False If the length corresponding pairs of sides of two polygons are proportional, those polygons are similar

False

When a secant and a tangent are drawn to a circle from the same point outside of the circle, then the secant is the mean proportional between the tangent, and it's external segment

False

The center of a circumscribed circle about a given triangle may be found by the intersection of

Perpendicular bisector of the sides

A line through points of two sides of a triangle cuts off a new triangle that is similar to the original triangle

True

If in two triangles at least one pair of corresponding sides is not proportional, then the triangles are never similar

True

The length of two corresponding altitudes of similar triangles will have the same ratio as any pair of correspondence side

True

To triangle are similar if just two pairs of corresponding angles are known to be equal

True

Point C is three away from a given line A B. How many points in AB are 5 inches from points C

Two

The locus of the centers of all circles having a given line segment, has a common cord is

a straight line

Two points A and B are 7 inches apart. How many points 12 inches away from A and also 4 inches apart from B?

none of these

What is quadrilateral ABCD, the locus of points equal distance from AB and AD must include vertex see if ABCD is a?

none of these

A tangent, and a secant are drawn to a circle from an external point. The secant passes through the center of the circle. The external segment of the secant is five in the internal segment is six. The length of the tangent to the circle is?

square root of 55

The locus of points at a given distance from a line is

two straight line

Find the area of a parallelogram that has a base of 10 inches and an altitude of 6 inches pl=bh/ 10 x 6

60 sq inches

The locus point at a given distance from a given point is

A circle

Find the altitude of a triangle that has a base of 7 inches in an area of 21 in. 21=1/2 x 7

6 inch

BP=4, DP=4 and CP=3. Find AP

12

The fourth proportional of 2,4,6 is

12

Find the area of a trapezoid that has an altitude if 6 inches and the sum of the bases is 12 inches Tr= 1/2 x 6 x 12

36 sq ft

If the ratio of the length of a pair of corresponding sides into similar triangles is 4:1 then the ratio of the length of a pair of corresponding altitudes is?

4:1


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