Illustrative Math Geometry

Line CD is the perpendicular bisector of segment AB. The lines intersect at point E. Which of these statements is true?

• E is closer to A

• E is closer to B

• E is the same distance from A and B

• There is not enough information to be sure

Tags

CCSS.HSG.CO.C.9

What is the definition of a circle? (In your own words of course).

1. Han followed these instructions to make the image.

a. Given line , mark 2 points on the line.

b. Construct congruent circles and centered at the points on .

c. Construct line through the intersection points of a and b .

d. Construct circle centered at 1 intersection point of a and b . Mark the 2 intersection points a of b and .

e. Construct congruent circles h and k centered at the points on g .

f. Construct line through the intersection points of h and k.

Write THREE statement about each pair of lines in this construction.

Tags

CCSS.HSG.CO.C.9

The 3 circles in the diagram have centers A, B, and C. Explain why segments AB and AC have the same length.

Tags

CCSS.HSG.CO.C.9

Classify triangle ABC. Explain your classification.

Tags

CCSS.4.G.A.2

ABCD is a rectangle. Trapezoid AEFB is congruent to trapezoid CFED. G is the midpoint of segment EF. Select ALL the ways we could describe the rigid transformation that takes AEFB to CFED.

• Reflect AEFB across line EF

• Rotate AEFB 180 degrees counterclockwise around point G

• Rotate AEFB 180 degrees clockwise around point G

• Translate AEFB by the directed line segment from F to E, and then reflect across line FE.

• Translate AEFB by the directed line segment from F to E, and then rotate 180 degrees clockwise around point E.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Lines x and y are parallel. Explain relationships between all angles.

Tags

CCSS.8.G.A.5

Describe a sequence of transformations that take isosceles trapezoid T to its image T'

Tags

CCSS.8.G.A.3

Now, for your rest of the test, click on this Desmos link and finish the rest of your homework. Code: RC8Y4Z, link: https://student.desmos.com/join/rc8y4z