Parallel & Perpendicular
Triangles
Slopes
Transformations
Midpoint/Symmetry
100

Find the slope of the line parallel to y = 3x + 7.

m = 3

100

Name the type of triangle (by sides) with side lengths 3, 3, 5.

isosceles

100

Compute the slope using rise/run between (2,3) and (5,7).

m = 4/3

100

Translate point A(2, −1) by 3 up 4 to the left. What are the new coordinates?

A'(5,-5)

100

A rectangle has how many lines of symmetry? Draw them.


2

200

Determine the slope of the line perpendicular to y = −1/2 x + 4

m = 2

200

This triangle has three equal sides and three equal angles

equilateral

200

Find the slope of the line through (−2, 3) and (4, 15).


m = 2
200

Reflect triangle with vertices (1,1), (3,1), (2,4) across the x-axis. Give the new vertices.

Answer: (1, −1), (3, −1), (2, −4)

200

A segment has endpoints (2, 6) and (8, 6).

(5,6)

300

Write the equation (slope-intercept form) of the line through parallel to 4x − 2y = 8.

y = 2x - 4

300

A triangle has angle measures 35°, 55°, and 90°. What kind of triangle is it. 


right triangle

300

Find the slope of the line:

2y=8x−6

m = 4

300

Point D(6,−2) is mapped to D′(6,2).

What transformation was used?

Reflection across the x-axis

300

Draw a trapezoid that has exactly one line of symmetry.

Name the type of trapezoid and draw its line of symmetry.

isosceles trapezoid

400

Write the equation (slope-intercept form) of the line through perpendicular to 6x − 3y = 21.

y = -1/2x - 7

400

Draw a triangle that is both an isosceles triangle and a right triangle.

After drawing it:

  1. Label the equal sides.
  2. Mark the right angle.
  3. Explain why your triangle fits both classifications.
  • Any 45°–45°–90° triangle works.
  • Two sides are congruent (isosceles).
  • One angle is 90° (right triangle).
400

A line passes through (4, 1) and (8, 9).

  1. Find its slope.
  2. Find the slope of a line perpendicular to it.

m = -1/2

400

Triangle ABCABCABC has vertices:

  • A(1,2)
  • B(3,5)
  • C(5,1)

Translate the triangle 2 units left and 4 units up.

What are the coordinates of the image?

  • A′(−1,6)
  • B′(1,9)
  • C′(3,5)
400

Match each quadrilateral with its number of lines of symmetry.

- Square

- Rectangle

- Rhombus

- Parallelogram

- Isosceles Trapezoid

  • Square → 4
  • Rectangle → 2
  • Rhombus → 2
  • Parallelogram → 0
  • Isosceles Trapezoid → 1
500

A line L passes is perpendicular to the line through (1,2) and (5,−2). Write the equation of the line and leave the variables you don't know as variables.

y = 1x + b

500

our friend says they drew a triangle with these properties:

  • Equilateral
  • Right
  • Scalene

Is this triangle possible?

If no, explain why not.
If yes, draw an example.

it is impossible

500

A line passes through (4, −3) and (x, 9). If the slope is 3, what is the value of x?

x = 8

500

Triangle ABCABCABC has vertices:

  • A(1,2)
  • B(4,2)
  • C(2,5)

The image has vertices:

  • A′(−1,−2)
  • B′(−4,−2)
  • C′(−2,−5)

What sequence of transformations maps the original triangle to the image?

  • Reflect across the y-axis.
  • Reflect across the x-axis.
500

A quadrilateral has exactly two lines of symmetry, but all four sides are not congruent.

Name every possible quadrilateral.

  • Rectangle
  • Rhombus
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