We included HMH Into Math Grade 4 Answer Key PDF Module 17 Lesson 5 Measure and Draw Angles of Two-Dimensional Figures to make students experts in learning maths.
HMH Into Math Grade 4 Module 17 Lesson 5 Answer Key Measure and Draw Angles of Two-Dimensional Figures
I Can use a protractor to accurately and precisely measure and draw angles in two-dimensional figures.
Step It Out
Question 1.
Shawn looks at the instructions for building a castle model. There is a small tower at the corner of the model called a turret. Shawn needs to measure the angles of an opening in the turret. How can he find the measures of the angles?
Measure △ABC using a protractor.
A. Place the center point of the protractor on the vertex of ∠ABC.
Answer:
B. Align the 00 mark on the scale of the protractor with \(\overline{B C}\).
Answer:
C. Find where \(\overline{B A}\) intersects the same scale. Read and record the angle measure on the scale.
m∠ABC = _________
Answer:
D. Repeat Steps A-C for ∠BAC and ∠ACB.
m∠BAC = _________
m∠ACB = _________
Answer:
Turn and Talk How can you use the angle measures to classify the triangle?
Answer:
Question 2.
Shonda’s architectural plans for the science museum’s main entrance will include a trapezoid-shaped window with two 750 angles. How can Shonda draw angles of a given measure to form a trapezoid?
A. Place the center point of the protractor on point O. Align \(\overline{O N}\) with the 00 mark on the protractor.
Answer:
B. Using the same scale, make a point at 75°. Label the point L.
Answer:
C. Draw \(\overline{O L}\).
Answer:
Drawn the line OL.
D. Place the center point of the protractor on point N. Align \(\overline{N O}\) with the o° mark on the protractor.
Answer:
E. Using the same scale, make a point at 75° that is the same distance from \(\overline{N O}\) as point L is. Label the point M.
Answer:
F. Draw \(\overline{N M}\).
Answer:
G. Draw \(\overline{L M}\) to form the trapezoid.
Answer:
Turn and Talk Explain how your understanding of lines and angles can help you draw two-dimensional figures.
Answer:
Check Understanding
Question 1.
Sabika drew a parallelogram with an angle that measures 50° and an angle that measures 1300. Use a protractor to draw what could be Sabika’s parallelogram.
Answer:
The above figure has angles 50° and 130° .
On Your Own
Question 2.
Use Tools The main entrance at the science museum will have a window in the shape of a parallelogram. The window must have an angle that measures 40°. Use a protractor to find the measures of the angles, and determine which window the science museum should use.
The science museum should use Window ________.
Answer:
Question 3.
Model with Mathematics Matias draws building plans for a greenhouse. Use a protractor to find the angle measures for the trapezoid. Write an equation to find the sum of the angle measures.
m ∠E = ________
m ∠F = ________
m ∠G = ________
m ∠H = ________
Equation: ________________
Sum of the angle measures = ________
Answer:
Question 4.
Attend to Precision Faye designs a trapezoid background for a display case. The measures of two angles should be 80°. Use a protractor to draw a sample of her design.
Answer:
Explanation:
The drawn trapezoid has two angles which measures 80° each.
Question 5.
Reason Scott came over to finish a drawing for Jillian. She began drawing a quadrilateral with only 2 right angles. How can Scott finish her drawing?
Answer:
Explanation:
Scott can finish her drawing in many ways to have only 2 right angles. Has the drawn figure has already 2 right angles, so to complete the quadrilateral no more right angle should be formed. One of the ways to drawn quadrilateral is above.
Question 6.
Use a protractor and \(\overline{C D}\). Draw a right triangle. Label the third vertex E.
Why is this a right triangle?
Answer:
Explanation:
A right angle formed at vertex D with the sides CD and DE. So this is a right angled triangle.
Question 7.
Use a protractor and \(\overline{U V}\). Draw an obtuse triangle. Label the third vertex W.
Why is this an obtuse triangle?
Answer:
Explanation:
A obtuse angle formed at vertex V with the sides UV and VW. So this is an obtuse angled triangle.