We used the Pythagorean Theorem to find the height of the trapezoid and then we calculated the area. We also calculated the areas of kites, rhombuses, and composite figures. Then we calculated the areas of sectors and regions of a circle to prepare for a test tomorrow.

We derived the equation of a circle of given center and radius using the Pythagorean Theorem. We use completing the Square to find the center and radius of a circle given by an equation. Then we used coordinates to compute perimeters of polygons and areas of triangles, parallelograms, trapezoids, and rectangles.

Lesson 10-1 Circles and Circumference – Hudson and I reviewed for a test on chapter 10. We reviewed the meaning of polygons inscribed and circumscribed inside a circle. We practiced measuring angles and arcs. Then we compared congruent arcs and chord lengths. Next, we looked at inscribed angles and intercepted arcs.

We worked on the preterit of Stem-changing verbs. We worked on comparisons using words such as more or less, better or worse, and minor or major. We practiced changing sentences to use double object pronouns.

Hudson prepared for a unit test on Spanish food. We completed fill in the blanks with the correct form of the preterit for stem changing verbs. We worked on rewriting sentences using Double Object Pronouns. For example, he’s going to bring us the dishes was replaced by he’s going to bring them to us. Then we answered questions in the affirmative using pronouns. Next, we worked on comparisons using words such as more or less, younger and older, and more or less.

We worked on comparing two quantities with more or less, better or worse, older or younger. We were preparing for a test tomorrow. We reviewed verbs and adjectives and the preterit.

5-6 Inequalities in Two Triangles – We learned to apply the Hinge Theorem or its converse to make comparisons in two triangles.
Chapter 6 Quadrilaterals and Inequalities
Angles of Polygons – We practiced finding the sum of the interior angles of a polygon. We reviewed the Polygon Exterior Angles Sum Theorem and applied it to several problems. Then we practiced the preterit of Ser and Ir for a Spanish II quiz tomorrow.

We studied and reviewed for a test on Chapter 5.
5-3 Inequalities in One Triangle – We learned to recognize and apply properties of inequalities to the measures of the angles of a triangle. Then we learned to apply properties of inequalities to the relationships between the angles and the sides of a triangle.
5-4 Indirect Proof – We learned to use indirect reasoning by assuming that a conclusion was false and then showing that this assumption led to a contradiction.
5-5 The Triangle Inequality we learned to use the Triangle Inequality Theorem to identify possible triangles and prove triangle relationships.

Medians and Altitudes of Triangles – We reviewed the centroid theorem and how to use it in a proof to find the measure of a median in a triangle. Then we reviewed the midpoint formula and distance formula and when to use them. We practiced finding the coordinates of isosceles and equilateral triangles.

We reviewed for a test on the reflexive pronoun. We practiced constructing the reflexive pronoun and verb. We learned that the reflexive pronoun and the subject of the verb refer to the same person. As with the direct and indirect object pronouns, reflexive pronouns are either placed immediately before the conjugated verb or may be attached to the infinitive and the present participle.