Geometry Test #8

Question 1

Pythagorean Theorem

Answer 1

In a right triangle, the square of the hypotnuese is equal to the squares of the legs.
a^2+b^2=c^2

Question 2

Converse of the Pythagorean Theorem

Answer 2

If the square of one side of a triangle is equal to the sum of the other squares of the other two sides, the triangle is a right triangle.

Question 3

Right Triangle

Answer 3

c^2=a^2+b^2

Question 4

Acute Triangle

Answer 4

c^2<a^2+b^2

Question 5

Obtuse Triangle

Answer 5

c^2>a^2+b^2

Question 6

30-60-90

Answer 6

x:xsqrt3:2x

Question 7

45-45-90

Answer 7

x:x:xsqrt2

Question 8

Triangle Proportionality Thm.

Answer 8

If a segment intersection is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.

Question 9

Interior Angle Bisector Thm.

Answer 9

If a segment/ray bisects an interior angle of a triangle, then it divides the opposite side into segments proportional to the other two sides.

Question 10

Scale Factor of Similarity

Answer 10

Original/New

Question 11

Scale Factor of Dilation

Answer 11

New/Original

Question 12

Ratio of Perimeter

Answer 12

The Scale Factor of Similarity

Question 13

Ratio of Area

Answer 13

The scale factor of similarity squared