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What is the converse of the following statement?
"If the shoes are clean, then the shoes are new."
If the shoes are not clean, then the shoes are not new.
If the shoes are clean, then the shoes are not new.
If the shoes are not new, then the shoes are not clean.
If the shoes are new, then the shoes are clean.
Question 12(Multiple Choice Worth 1 points)
(01.06 MC)
Which statement justifies why ∠EBC measures 90°?
Given: angles ABD and DBC are complementary
Point B is on line AE between points A and E, point B is on line FD between points F and D, ray BC intersects with line AE at point B, line FD intersects with line AE at point B, the measure of angle ABD is 50 degrees, and it is given that angles ABD and DBC are complementary.
A linear pair is two adjacent, supplementary angles.
The sum of the measures of complementary angles is 90 degrees.
If two angles are vertical angles, then they are congruent.
Alternate interior angles are congruent.
Question 13(Multiple Choice Worth 1 points)
(01.05 MC)
Read the following statements:
Statement 1: If it is a triangle, then it has three sides.
Statement 2: If it does not have three sides, then it is not a triangle.
Determine if the statements are true or false and if they have the same meaning.
Both statements are true and they do not have the same meaning.
Both statements are false and they do have the same meaning.
Both statements are true and they have the same meaning.
Both statements are false and they do not have the same meaning.
Question 14(Multiple Choice Worth 1 points)
(01.02, 01.06 LC)
Lara constructed angle POQ and then used a compass and straightedge to accurately construct line segment OS, as shown in the figure below:
An angle POQ is drawn. Two similar arcs intersect OP and OQ. Two more similar arcs intersect each other at a point S, and a dashed line is drawn from O to S, such that OS bisects angle POQ.
Which could be the measures of angle POS and angle POQ?
Measure of angle POS is 35 degrees; measure of angle POQ is 65 degrees.
Measure of angle POS is 40 degrees, measure of angle POQ is 70 degrees.
Measure of angle POS is 45 degrees, measure of angle POQ is 75 degrees.
Measure of angle POS is 30 degrees, measure of angle POQ is 60 degrees.
Question 15(Multiple Choice Worth 1 points)
(01.06 MC)
In the figure, lines m and n are parallel.
Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 4, and 3 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 8, and 7 in clockwise order from top left.
If m∠6 = 97°, what is m∠5?
83°
90°
97°
180°
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FDK61.12
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answered4 months ago