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Bridges in Mathematics Grade 5 Home Connections Answer Key Unit 6 Module 2
Bridges in Mathematics Grade 5 Home Connections Unit 6 Module 2 Session 1 Answer Key
Types of Triangles
You can group triangles by the size of their angles.
Question 1.
Look carefully at the triangles below and fill in the chart.
a.
Answer:
Explanation:
Given from above figure 2 acute angles are formed which less than 90 degrees ; 1 obtuse angle is formed which is greater than 90 degrees and less than 180 degrees and No right angle is formed and No congruent sides are formed as they don’t have same length so, it is obtuse and scalene triangle .
b.
Answer:
Explanation:
Given from above figure 2 acute angles are formed ; 1 right angle 90 degrees formed ; there is no obtuse angle; 2 sides have same length so 2 congruent sides are formed therefore it is right and isosceles triangle.
Question 2.
Circle the right triangle (one right angle) that is also an isosceles triangle (two sides the same length).
Answer:
Explanation:
Given from figures the second, fourth, fifth are right triangles but only fourth figure forms an isosceles triangle which has same length two sides so, fourth figure forms right triangle and also isosceles triangle.
Question 3.
Circle the right triangle (one right angle) that is also a scalene triangle (no sides the same length).
Answer:
Explanation:
Given from above figures the fourth figure has no sides same length so, therefore it is right triangle and scalene triangle.
Question 4.
Draw the triangles described below.
a. An obtuse isosceles triangle
Answer:
Explanation:
Given from above an isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90 degrees and 180 degrees ) and the other two acute angles are equal in measurement.
b. An acute isosceles triangle
Answer:
Explanation:
Given from above an acute isosceles triangle is a triangle in which all three angles are less than 90 degrees and at least of its angles are equal in measurement.
Question 5.
CHALLENGE Lawrence said he drew a right obtuse triangle. Rosa said that was impossible. Explain why Rosa is correct.
Hint: The sum of the angle measures in any triangle is 180°.
Answer:
It’s impossible to have a right obtuse triangle ,
Explanation:
Given that Rosa said that was impossible to draw a right obtuse triangle because a right triangle has 1 right angle . The sum of the other two angles has to be 90 degrees, which means neither of them can be greater than 90 degrees , so neither of them can be obtuse . so, it’s impossible to have a right obtuse triangle therefore Rosa is correct.
Bridges in Mathematics Grade 5 Home Connections Unit 6 Module 1 Session 3 Answer Key
Classifying Quadrilaterals
A quadrilateral is any polygon that has 4 sides. The hierarchy below shows the different types of quadrilaterals.
Question 1.
Look carefully at the figures below and on the next page. Find out how many right angles, pairs of parallel sides, and pairs of congruent sides each figure has. Then circle all the words that describe the figure. Use the hierarchy above to help.
a.
Answer:
Explanation:
Given from above figure there are no right angles are formed , there are 1 pair of congruent sides and parallel sides are there so, it describes as a trapezoid and quadrilateral.
b.
Answer:
Explanation:
Given from above figure 4 sides 4 right angles are formed and opposite sides are equal so, 2 pairs of congruent sides and parallel sides are formed therefore it described as a parallelogram and rectangle .
c.
Answer:
Explanation:
Given from above figure No right angles are formed and opposite sides are equal so, 2 pairs of congruent sides and parallel sides are formed which described as parallelogram.
d.
Answer:
Explanation:
Given from above figure there are no right angles are formed and 2 pairs of congruent sides and parallel sides are formed which described as a parallelogram , rhombus and square from figure.
e.
Answer:
Explanation:
Given from above figure there are no right angles are formed and opposite sides are not equal so therefore no right angles and no parallel sides are formed, 2 pairs of congruent sides are formed which described as a kite and a parallelogram .
f.
Answer:
Explanation:
Given from above figure there are no right angles are formed and opposite sides are not equal so therefore no right angles and no parallel sides are formed , 2 pairs of congruent sides are formed which described as a kite and a parallelogram.