(Anwser all)NEED help ASAP I GOT TO SUBMIT THIS IN !) 10 MINS
Question 1(Multiple Choice Worth 1 points)
(02.03 MC)
triangle ADB, point C lies on segment AB and forms segment CD, segment AC is congruent to segment BC. Point A is labeled jungle gym and point B is labeled monkey bars.
Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. If Beth places the swings at point D, how could she prove that point D is equidistant from the jungle gym and monkey bars?
If segment AD ≅ segment CD, then point D is equidistant from points A and B because congruent parts of congruent triangles are congruent.
If segment AD ≅ segment CD, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
If m∠ACD = 90° then point D is equidistant from points A and B because congruent parts of congruent triangles are congruent.
If m∠ACD = 90° then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
Question 2(Multiple Choice Worth 1 points)
(02.01 MC)
figure H has four sides with vertices at 1, 2 and 2, 3 and 3, 2 and 2, 1
Which series of transformations will not map figure H onto itself?
(x + 0, y − 2), reflection over y = 1
(x + 2, y − 0), reflection over x = 3
(x + 3, y + 3), reflection over y = −x + 7
(x − 3, y − 3), reflection over y = −x + 2
Question 3(Multiple Choice Worth 1 points)
(02.03 MC)
polygon ABCDE is on a coordinate plane with point A at 2, 4 and point B at 4, 3 and point C at 3, 2 and point D at 1, 2 and point E at 0, 3
Polygon ABCDE is the first in a pattern for a high school art project. The polygon is transformed so that the image of A′ is at (−2, 4) and the image of D′ is at (−1, 2). Which transformation can be used to show that ABCDE and its image are congruent?
Rotate ABCDE 90° counterclockwise.
Translate ABCDE left 4 units and down 2 units.
Reflect ABCDE over the y-axis.
Rotate ABCDE 90° clockwise.
Question 4(Multiple Choice Worth 1 points)
(02.04, 02.05 LC)
Triangle ABC is a right triangle. Point D is the midpoint of side AB, and point E is the midpoint of side AC. The measure of ∠ADE is 68°.
Triangle ABC with segment DE. Angle ADE measures 68 degrees.
The proof, with a missing reason, proves that the measure of ∠ECB is 22°.
Statement Reason
m∠ADE = 68° Given
m∠DAE = 90° Definition of a right angle
m∠AED = 22° Triangle Sum Theorem
segment DE joins the midpoints of segment AB and segment AC Given
segment DE is parallel to segment BC ?
∠ECB ≅ ∠AED Corresponding angles are congruent
m∠ECB = 22° Substitution property
Which of the following can be used to fill in the missing reason?
Triangle Inequality Theorem
Midsegment of a Triangle Theorem
Concurrency of Medians Theorem
Isosceles Triangle Theorem
Question 5(Multiple Choice Worth 1 points)
(02.04 MC)
Triangles ABD and CBD are shown.
Triangle A C D is divided into two smaller triangles which are triangle A B D and D B C which share a common side B D. Point B lies on segment A C. Segment A B is congruent to segment B C.
If m∠ABD = 100°, what is the relationship between AD and CD?
AD + DC < AC
CD = AD
CD > AD
CD < AD
