Algebra II - Home - West Johnston High School

Download Report

Transcript Algebra II - Home - West Johnston High School

Math 1 Warm Up
In the Algebra 1 Practice Workbook,
Practice 11-2 (p. 148)
#1, 2, 10, 18, 19, 23, 39, 42
Practice 11-3 (p. 150)
#1, 7, 13, 23, 27, 31, 39, 44
Questions?
Classifying Figures in the
Coordinate Plane
Objective: To learn to classify figures in the
coordinate plane using slope and distance.
quadrilateral – is polygon with four sides.
Types of Quadrilaterals
parallelogram – is a quadrilateral with both pairs
of opposite sides parallel.
rhombus – is a parallelogram with four congruent
sides.
rectangle – is a parallelogram with four right angles
(adjacent sides perpendicular).
square – is a parallelogram with four congruent
sides and four right angles
Types of Quadrilaterals
kite – is a quadrilateral with two pairs of adjacent
sides congruent and no opposite sides congruent.
trapezoid – is a quadrilateral with exactly one pair
of parallel sides.
isosceles trapezoid – is a trapezoid whose
nonparallel opposite sides congruent.
Types of Quadrilaterals
How to determine the most precise
name for the quadrilateral.
Step 1 – Graph the quadrilateral.
Step 2 – Find the slope of each side.
Same slopes indicate sides are parallel.
Opposite & reciprocal slopes indicate sides
are perpendicular (form right angles).
Step 3 – Find the length of each side.
Determine if pairs of sides are congruent.
Determine the most precise name for
the quadrilateral.
Quadrilateral LMNP with vertices L(1, 2), M(3, 3),
N(5, 2), P(3, 1).
Determine the most precise name for
the quadrilateral.
Quadrilateral ABCD with vertices A(-3, 3), B(2, 4),
C(3, -1), D(-2, -2).
Determine the most precise name for
the quadrilateral.
Quadrilateral QBHA with vertices Q(-4, 4), B(-2, 9),
H(8, 9), A(10, 4).
Assignment
Figures in the Coordinate Plane
Handout
Math 1 Warm Up
Use your graphing calculator to solve each equation.
1.
2.
3.
4.
5.
2x + 5 = -x – 4
4x – 10 = 2x
-5.4(2x + 5) = 1.8(6 + 3x)
3x – 8 = -6 + x
4 – 7x = x + 4
6. 5x –
𝟏
𝟐
= 4x +
𝟑
𝟒
7. 5(x + 1) = x + 2
8. -9 +
𝟐
x
𝟑
= -3(x – 6)
9. 8x + 5 = -(2x + 8) – 12