ENTRY TASK – TWO LEVELS Medium/Difficult F. Dilation A dilation is a transformation that enlarges or reduces an image proportionally. The corresponding.

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Presentation transcript:

ENTRY TASK – TWO LEVELS Medium/Difficult F

Dilation A dilation is a transformation that enlarges or reduces an image proportionally. The corresponding angles are congruent, but the corresponding sides are proportional. NOTE: This is the first and only transformation that we have that is not an isometry. Instead of producing an image that is congruent to the preimage, it produces one that is similar (same shape, but different size.)

How would we do this using a compass and straight edge?

What is the center of dilation? What is the scale factor? (Is it pre-image over image or the other way around? WHY?

What is the center of dilation? And what is the scale factor?

Is the dilation an enlargement or reduction? What is the scale factor? (Careful. This one is a little bit tricky!)

Dilate ΔZPG with center of dilation (0,0) and scale factor of 2.

Transformations Rotation – Need Center, degrees of rotation and direction Reflection –Need a line of reflection Translation – Need a vector, or an amount left or right, up or down. Glide Reflection – Combine reflection and translation Dilation – Need center and scale factor. Which of these is not an isometry?

Quiz Review Quiz will cover Special points of concurrency Incenter, Circumcenter, Orthocenter, Centroid Special Segments in Triangles Midsegment, median, altitude, angle bisectors, perpendicular bisectors Overlapping Triangle Proofs Inequalities in Triangles

White board Practice Resource Manager grab a white board, marker and eraser for each person in your group.

What is this a picture of?

The intersection of the altitudes is the …..

The intersection of the medians is the …..

The intersection of the angle bisectors is the ….

The intersection of the perpendicular bisectors is the …..

If a triangle has side lengths 3 and 16, what is the possible range of lengths for the third side?

Will the following side lengths form a Triangle? 3, 4, 5 10, 10, 10 6, 7, 13 3, 5, 9

List the sides from shortest to longest.

List the angles from largest to smallest

In ΔRST, U is the centroid. 1.) If UQ is 6, find US and QS. 2.) If UT is 3, find UV and TV. 3.) If UW =2, find UR and WR.

FIND the value of x. FIND X

FIND THE VALUE OF X.

Assignment Page 578 #1, 2, 6, 12, 14, 16