U1 intro to geo review

Midpoint

100

The midpoint formula

What is ((x₁+x₂)/2 , (y₁+y₂)/2)?

200

The midpoint between AB when A(6,3) B(4,3).

(5,3)

300

These are the points we plug into the midpoint formula to find the midpoint.

What are the endpoints?

400

What is the midpoint between (-9,7) and (1,-3)

(-4,2)

500

The midpoint divides the segment into two _____ parts.

What are equal parts?

Parallel and Perpendicular Lines

100

Parallel lines have these slopes.

Equal/same/idendentical

200

Perpendicular lines have these slopes.

Opposite reciprocal.

300

What would the slope of a line be that is parallel to the line that crosses through (1, 5) and (3, 9)?

m=2

400

Which of the following accurately describes the lines 2y - 8x = 4 and  y = –4x – 3?

Intersecting, but not perpendicular.

500

A line perpendicular to y – 6x = 2 must have a slope of ____________.

-1/6

Distance Formula

100

What is the distance formula?

D=sqrt((y₂-y₁)^2+(x₂-x₁)^2

200

Find the distance between the points (0,0) and (3,4)

D=5

300

Triangle ACD has vertices at A(-2,4), C(6,7), and D(-7,-5). Which segment is the longest?

CD

400

Find the distance between the two points (-1,14) and (8,-6)

sqrt(481)

500

A line segment has endpoints (4, 7) and (1, 11).

What is the length of the segment?

5

Transformations

100

RS⃑ can also be represented as <7, -3>.  Describe the meaning of <7, -3> and how it could be used to determine the coordinates of the image.

It is a vector and can be used to translate the coordinates of an image with change in x and y

200

The point (-3,-2) is reflected over x-axis, and then over the y-axis. The coordinates of its image are

(3,2)

300

What are the coordinates of point A’, the image of A (3, -2), after a reflection over the line   y=x+3?

(-2,3)

400

A 90-degree rotation creates a _______ between the center of rotation, the pre-image, and image points.

right angle/90 degree angle

500

The point (-3, 4) was rotated 90 degrees counterclockwise about the origin. Then, the point is translated on the vector <3,-2>. What will the final image point be?

(-1,-5)

Parallel lines & Transversals

100

If two lines are parallel, their corresponding angles are?

Congruent

200

If two lines are parallel, their alternate interior angles are?

Congruent

300

If two lines are parallel, their same side interior angles are?

Supplementary

400

When two angles add up to 90 degrees, these angles can be classified as?

Complementary

500

Supplementary Angles add up to how many degrees?

180