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.