Geometry 6-6 Complete Lesson: Trapezoids and Kites

10

Solve It! Two isosceles triangles form the figure. Each white segment is a midsegment of a triangle. What can you determine about the angles in the orange region? In the green region? Explain.

G.SRT.5

10

Problem 1 Got It?

10

Problem 1 Got It?

10

Problem 2 Got It?

G.SRT.5

1

Problem 3 Got It? Algebra: Segment MN is the midsegment of trapezoid PQRS. What is x ? Enter only a number.

G.SRT.5

10

Problem 3 Got It? Algebra: Segment MN is the midsegment of trapezoid PQRS. What is MN ? Enter only a number.

10

Problem 3 Got It? Reasoning: How many midsegments can a triangle have? Enter only a number.

10

Problem 3 Got It? Reasoning: How many midsegments can a trapezoid have? Enter only a number.

10

Problem 3 Got It? Reasoning: Compare your responses to the previous 2 items. Explain your responses.

10

Problem 4 Got It?

G.SRT.5

10

G.SRT.5

10

Vocabulary: Is a kite a parallelogram?

10

Vocabulary: Explain your response to the previous item.

10

Compare and Contrast: How is a kite similar to a rhombus? How is it different? Explain.

10

Error Analysis: Since a parallelogram has two pairs of parallel sides, it certainly has one pair of parallel sides. Therefore, a parallelogram must also be a trapezoid. What is the error in this reasoning? Explain.

20

Review Lesson 6-5: Match each figure with the value of x for which the figure is the given special parallelogram

Figure A
Figure B

G.SRT.5

10

Review Lesson 6-1: What is the value of c ? Enter only a number.

10

Review Lesson 1-7: Given A(6, -2) and B(-4, 8), find the midpoint of segment AB.

10

Review Lesson 1-7: Given A(6, -2) and B(-4, 8), find the length of segment AB. Enter only a number. Round your answer to the nearest hundredth, if necessary.

10

Review Lesson 3-7: Find the slope of the line containing the points C(-1, 5) and D(7,3).

10

Vocabulary Review: Select the word that completes the sentence.

An isosceles triangle always has (two / three) congruent sides.

10

Vocabulary Review: Select the word that completes the sentence.

An equilateral triangle is also a(n) (isosceles / right) triangle.

30

Use Your Vocabulary: Complete the assigned items on the canvas

10

Compare and Contrast: Describe each figure. Figures are likely to fit multiple descriptions.

Kite
Rhombus

Quadrilateral
Perpendicular diagonals
Congruent opposite sides
Supplementary consecutive angles

10

Geometry 6-6 Complete Lesson: Trapezoids and Kites

Solve It! Two isosceles triangles form the figure. Each white segment is a midsegment of a triangle. What can you determine about the angles in the orange region? In the green region? Explain.

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? Algebra: Segment MN is the midsegment of trapezoid PQRS. What is x ? Enter only a number.

Problem 3 Got It? Algebra: Segment MN is the midsegment of trapezoid PQRS. What is MN ? Enter only a number.

Problem 3 Got It? Reasoning: How many midsegments can a triangle have? Enter only a number.

Problem 3 Got It? Reasoning: How many midsegments can a trapezoid have? Enter only a number.

Problem 3 Got It? Reasoning: Compare your responses to the previous 2 items. Explain your responses.

Problem 4 Got It?

Vocabulary: Is a kite a parallelogram?

Vocabulary: Explain your response to the previous item.

Compare and Contrast: How is a kite similar to a rhombus? How is it different? Explain.

Error Analysis: Since a parallelogram has two pairs of parallel sides, it certainly has one pair of parallel sides. Therefore, a parallelogram must also be a trapezoid. What is the error in this reasoning? Explain.

Review Lesson 6-5: Match each figure with the value of x for which the figure is the given special parallelogram

Review Lesson 6-1: What is the value of c ? Enter only a number.

Review Lesson 1-7: Given A(6, -2) and B(-4, 8), find the midpoint of segment AB.

Review Lesson 1-7: Given A(6, -2) and B(-4, 8), find the length of segment AB. Enter only a number. Round your answer to the nearest hundredth, if necessary.

Review Lesson 3-7: Find the slope of the line containing the points C(-1, 5) and D(7,3).

Vocabulary Review: Select the word that completes the sentence.An isosceles triangle always has (two / three) congruent sides.

Vocabulary Review: Select the word that completes the sentence.An equilateral triangle is also a(n) (isosceles / right) triangle.

Use Your Vocabulary: Complete the assigned items on the canvas

Compare and Contrast: Describe each figure. Figures are likely to fit multiple descriptions.

Reflection: Math Success

Solve It! Two isosceles triangles form the figure. Each white segment is a midsegment of a triangle. What can you determine about the angles in the orange region? In the green region? Explain.

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? Algebra: Segment MN is the midsegment of trapezoid PQRS. What is x ? Enter only a number.

Problem 3 Got It? Algebra: Segment MN is the midsegment of trapezoid PQRS. What is MN ? Enter only a number.

Problem 3 Got It? Reasoning: How many midsegments can a triangle have? Enter only a number.

Problem 3 Got It? Reasoning: How many midsegments can a trapezoid have? Enter only a number.

Problem 3 Got It? Reasoning: Compare your responses to the previous 2 items. Explain your responses.

Problem 4 Got It?

Vocabulary: Is a kite a parallelogram?

Vocabulary: Explain your response to the previous item.

Compare and Contrast: How is a kite similar to a rhombus? How is it different? Explain.

Error Analysis: Since a parallelogram has two pairs of parallel sides, it certainly has one pair of parallel sides. Therefore, a parallelogram must also be a trapezoid. What is the error in this reasoning? Explain.

Review Lesson 6-5: Match each figure with the value of x for which the figure is the given special parallelogram

Review Lesson 6-1: What is the value of c ? Enter only a number.

Review Lesson 1-7: Given A(6, -2) and B(-4, 8), find the midpoint of segment AB.

Review Lesson 1-7: Given A(6, -2) and B(-4, 8), find the length of segment AB. Enter only a number. Round your answer to the nearest hundredth, if necessary.

Review Lesson 3-7: Find the slope of the line containing the points C(-1, 5) and D(7,3).

Vocabulary Review: Select the word that completes the sentence.An isosceles triangle always has (two / three) congruent sides.

Vocabulary Review: Select the word that completes the sentence.An equilateral triangle is also a(n) (isosceles / right) triangle.

Use Your Vocabulary: Complete the assigned items on the canvas

Compare and Contrast: Describe each figure. Figures are likely to fit multiple descriptions.

Reflection: Math Success

Vocabulary Review: Select the word that completes the sentence.

An isosceles triangle always has (two / three) congruent sides.

Vocabulary Review: Select the word that completes the sentence.

An equilateral triangle is also a(n) (isosceles / right) triangle.

Vocabulary Review: Select the word that completes the sentence.

An isosceles triangle always has (two / three) congruent sides.

Vocabulary Review: Select the word that completes the sentence.

An equilateral triangle is also a(n) (isosceles / right) triangle.