Courtney is constructing quadrilateral EFGH , where EF=6 cm , FG=2 cm , EH=5 cm , ∠HEF=60° , and ∠EFG=140° . Courtney starts by drawing line segment EF=6 cm , as shown here. If she wants to locate point H next, what should Courtney do?
To locate point H, Courtney can follow these steps:
1. From point F, draw a ray at an angle of 140° (angle EFG) using a protractor.
2. Measure 5 cm along this ray from point F and mark this point as H.
3. Connect points E and H to complete the quadrilateral EFGH.
By following these steps, Courtney will successfully locate point H in the construction of quadrilateral EFGH.
Which of the following is the correct figure when you draw quadrilateral MNPQ , where MN=4 cm , NP=8 cm , ∠MNP=50° , ∠NMQ=130° , and ∠NPQ=50° ?
I'm unable to see the options provided for the figures, however, you can construct quadrilateral MNPQ by following these steps:
1. Draw a line segment MN of 4 cm.
2. From point N, draw a ray at an angle of 130° (angle NMQ) using a protractor.
3. Measure 8 cm along this ray from point N and mark this point as P.
4. From point P, draw a ray at an angle of 50° (angle NPQ) using a protractor.
5. Draw a segment PQ connecting points P and Q at an angle of 130° (complement of angle NPQ).
6. Connect points Q and M to complete the quadrilateral MNPQ.
By following these steps, you will correctly construct quadrilateral MNPQ with the given measurements and angles.
these are the answers
Figure 2
Figure 2
Figure 3
Figure 3
Figure 4
Figure 4
Figure 1
To determine which figure is the correct one for the construction of quadrilateral MNPQ, we need to compare the given measurements and angles with the options provided.
1. Figure 2:
Angle MNP is 50° (given).
Angle NMQ is 130° (given).
Angle NPQ is 50° (given).
If Figure 2 follows the given measurements and angles, it could be a correct answer.
2. Figure 3:
This figure cannot be assessed without a visual reference.
3. Figure 4:
This figure cannot be assessed without a visual reference.
4. Figure 1:
This figure cannot be evaluated without a visual reference.
Based on the information provided and without a visual representation of figures 1, 3, and 4, it appears that Figure 2 might be the correct figure for the construction of quadrilateral MNPQ.
Use the image to answer the question.
Four different quadrilaterals upper M upper N upper P upper Q are shown. Figure 1 is a regular, 4-sided quadrilateral. Figure 2 is a parallelogram. Figure 3 is a trapezoid. Figure 4 is a kite. Various side lengths and angle measurements are indicated. Figure 1 is a quadrilateral with four unequal sides. The quadrilateral rests on side upper N upper P, which measures 8 centimeters. Left side upper N upper M measures 4 centimeters. The lengths for the top side upper M upper Q and the right side upper Q upper P are not shown. Angle upper N and angle upper P both measure 50 degrees. Figure 2 is a parallelogram. It rests on base side upper N upper P, which measures 8 centimeters. Left side upper N upper M measures 4 centimeters. The lengths for the top side upper M upper Q and the right side upper Q upper P are not shown. Angle upper M measures 130 degrees. Angle upper N and angle upper Q measure 50 degrees. Figure 3 is a trapezoid. The base upper N upper P measures 8 centimeters, and the left side upper M upper N measures 4 centimeters. The lengths for the top side upper M upper Q and the right side upper Q upper P are not shown. Angle upper M measures 130 degrees. Angle upper N and angle upper P measure 50 degrees. Figure 4 is a kite. Lower left side upper N upper P measures 8 centimeters, and top left side upper N upper M measures 4 centimeters. The lengths for the top right side upper M upper Q and bottom right side upper Q upper P are not shown. Angle upper N measures 130 degrees, and angle upper M measures 50 degrees.
Which of the following is the correct figure when you draw quadrilateral MNPQ , where MN=4 cm , NP=8 cm , ∠MNP=50° , ∠NMQ=130° , and ∠NPQ=50° ?
Based on the given information about the quadrilateral MNPQ:
- MN=4 cm
- NP=8 cm
- ∠MNP=50°
- ∠NMQ=130°
- ∠NPQ=50°
The correct figure for the given measurements and angles is Figure 2, which is a parallelogram. Figure 2 matches all the specified side lengths and angle measurements, including MN=4 cm, NP=8 cm, ∠MNP=50°, ∠NMQ=130°, and ∠NPQ=50°. Therefore, Figure 2 is the correct figure for the construction of quadrilateral MNPQ according to the given specifications.