eQuizShow

Geometry Project

Naming the Givens

Question: Segment BC= __
Answer: a

Question: Segment AC= __
Answer: b

Question: Segment AB= __
Answer: c

Question: Segment CE is ______ to segment AB
Answer: Perpendicular

Question: Triangle ABC is a ______
Answer: Right triangle

Finding the area of square BLCK

Question: What is a square?
Answer: A square is a parallelogram that is both a rectangle and a rhombus.

Question: Give the reason for this statement:

a^2=cx

Answer: Algebra

Question: Give the reason for this statement:

x/a=a/c

Answer: Substitution Property

Question: Give the reason for this statement:

BD/BC=BC/BA

Answer: Either leg of the given right triangle is the mean proportional between the hypotenuse of a given right triangle and the segment of the hypotenuse of adjacent to that leg.

Question: Give the reason for this statement:

The area of BCKL= a^2

Answer: If a quadrilateral is a square, the area is equal to one of the sides squared.

Finding the area of square ACHJ

Question: What kind of triangles do the diagonals of a square form?
Answer: Isosceles

Question: Give the reason for the following statement:

b^2=c^2-cx

Answer: Algebra

Question: Give the reason for the following statement:

c-x/b=b/c

Answer: Substitution Property

Question: Give the reason for the following statement:

AD/AC=AC/AB

Answer: Either leg of the given right triangle is the mean proportional between the hypotenuse of a given right triangle and the segment of the hypotenuse adjacent to that leg

Question: Give the reason for the following statement:

The area of ACHJ is b^2

Answer: If a quadrilateral is a square, the area is equal to one of the sides squared.

Finding the areas of BDEF and AGED

Question: How do you find the area of a square?
Answer: Length^2

Question: If a square had side lengths of x what would the length of it's diagonal be?
Answer: x√2

Question: What is the area of square BAGF?
Answer: c^2

Question: What is the area of square BFED?
Answer: cx

Question: Which square has an area of c^2-cx
Answer: Square AGED

Prove area BLCK and ACHJ=BDEF and AGED

Question: Simplify a^2+b^2=cx+c^2-cx
Answer: a^2+b^2=c^2

Question: What is the sum of these two problems?

a^2=cx

b^2=c^2-cx

Answer: a^2+b^2=cx+c^2-cx

Question: What is the Pythagorean Theorem?
Answer: a^2+b^2=c^2

Question: Square ACHJ has the same area of which other square?
Answer: Square AGED

Question: Square BLKC has the same area of which other square?
Answer: Square BFED