Warm-Up1/20 1)Draw an angle whose measure is 47° then construct an angle whose measure is congruent to the angle that you drew. 2)Find m ∠ ACT if A lies in the interior of ∠ DCT and m ∠ DCT = 164° and m ∠ DCA = 89°.

4.5 Triangles and Quadrilaterals

Triangles A triangle triangle is a simple closed curve composed of three line segments. A scalene is a triangle whose sides are all different lengths. An isosceles is a triangle that has two sides that are the same length. An equilateral is a triangle whose sides are all equal length.

Triangles An acute is a triangle with three acute angles. A right is a triangle with a right angle. An obtuse is a triangle with an obtuse angle. Ex’s of sketches of these triangles and legs, base angles, base and hypotenuse

Quadrilaterals A quadrilateral quadrilateral is a simple closed curve that is the union of four coplanar line segments. A trapezoid trapezoid is a quadrilateral with at least one set of parallel line segments. A parallelogram parallelogram is a quadrilateral whose opposite sides are parallel. A rectangle rectangle is a parallelogram whose sides form right angles. A rhombus rhombus is a parallelogram whose sides are equal length. A square square is a rhombus whose sides form right angles.

Parts of Quadrilaterals Opposite sides Consecutive sides Opposite angles Consecutive angles

Assignment (Due Thursday) You must take a picture or bring an example of the following three things: 1) A scalene triangle 2) An isosceles triangle that is not an equilateral triangle 3) An equilateral triangle.

Assignment (Due Thursday) You must take a picture or bring an example of the following 5 things: 1) A quadrilateral that is not a parallelogram 2) A trapezoid that is not a parallelogram 3) A rectangle that is not a square 4) A rhombus that is not a square 5) A square.

Warm-Up1/22 1)Draw an angle with degree measure of 37°. Now construct an angle that is congruent to this angle. 2)Sketch the following a)A square b)Two angles that are acute and not congruent. c)A rhombus that is not a square. d)Two angles that are obtuse and congruent.

Announcments1/22 We will take CM #19.5 on Construcing Congruent Angles

Assignment (Due Today) You must take a picture or bring an example of the following three things: 1) A scalene triangle 2) An isosceles triangle that is not an equilateral triangle 3) An equilateral triangle.

Assignment (Due Today) You must take a picture or bring an example of the following 5 things: 1) A quadrilateral that is not a parallelogram 2) A trapezoid that is not a parallelogram 3) A rectangle that is not a square 4) A rhombus that is not a square 5) A square.

Group Work Task: Create a Venn Diagram of the quadrilaterals. Example: Since all equilateral triangles would be isosceles triangles we would draw an equilateral triangle inside of an isosceles triangle.

Warm-Up1/23 1)Draw an angle with degree measure of 114°. Now construct an angle that is congruent to this angle. 2)Sketch the following a)A rectangle that is not a square. b)Two angles that are obtuse and not congruent. c)A rhombus that is a rectangle. d)Two angles that are not a linear pair but are supplementary.

Announcements1/23 We will take CM #19.5 on Constructing Congruent Angles. Unit test on Thursday and Friday of next week. We will do retakes on Thursday and Friday of next week. I will hand out a test review next Monday. HW’s with no name currently have a zero. HW’s with no score currently have a zero,

Warm-Up/Review 1/26 1)Draw a line segment that is 3 inches long. Construct a segment bisector. 2)Sketch a Venn diagram of the quadrilaterals. 3)Sketch the following with the correct notation: a)Vertical angles b)Linear pair that are not congruent c)Supplementary angles that are not a linear pair.

Announcements1/26 We will take CM #19.5 on Constructing Congruent Angles at the end of the period. Unit test on Thursday and Friday of this week. We will do retakes on Tuesday and Wednesday of this week. HW’s with no name currently have a zero. HW’s with no score currently have a zero. Students that did not take quiz within two days got a zero.

Assignment Part 1: You must take a picture or bring an example of the following three things: 1) A scalene triangle 2) An isosceles triangle that is not an equilateral triangle 3) An equilateral triangle. Part 2: You must take a picture or bring an example of the following 5 things: 1) A quadrilateral that is not a parallelogram 2) A trapezoid that is not a parallelogram 3) A rectangle that is not a square 4) A rhombus that is not a square 5) A square.

Concept Mastery #19.5 1)Draw an angle with degree measure of 98°. 2)Construct an angle that is congruent to the angle in #1. 3)Write complete and concise steps that you did to construct an angle.

Warm-Up/Review 1/27 1)Draw an angle that has measure of 64°. Construct a congruent angle to the angle that you drew. Construct an angle bisector. 2)Sketch the following: a)Angle FDC. b)Ray DM so that it lies in the interior of ∠FDC. c)If m∠FDC = 178 ° and m∠FDM = 49 ° what is the missing angles measure? 3)Sketch the following with the correct notation: a)Rhombus that is not a square. b)Quadrilateral with no equal side lengths. c)Supplementary angles that are congruent. d)Isosceles triangle that is not an equilateral triangle.

Announcements1/27 Unit test on Thursday and Friday of this week. We will grade CM’s 16 and 17 today. We will do retakes and review tomorrow. Bring review questions HW’s with no name currently have a zero. HW’s with no score currently have a zero. If you are gone the day of the test, you have 2 days to make it up.

Warm-Up/Review 1/28 1)Draw a line segment that has length of 3.5 inches. Construct a line segment that is congruent the segment that you drew. Lastly construct a perpendicular bisector. 2)Sketch the following: a)Angle QED. b)Ray EV so that it lies in the exterior of ∠QED and forms ∠EVQ. c)If m∠QED = 63 ° and m∠EVQ = 49 ° what is the missing angles measure? 3)Sketch the following with the correct notation: a)Rectangle that is not a square. b)Vertical angles. c)Complementary angles that are not adjacent. d)A rhombus that is a rectangle

Announcements1/28 Unit test on Thursday and Friday of this week. We will do retakes and review today. HW’s with no name currently have a zero. HW’s with no score currently have a zero. If you are gone the day of the test, you have 2 days to make it up. Review is due on Thursday and will be handed in with the test. If you want Unit quiz to see what you did wrong I let you see them.