Feb 06, 2019 · When the dilation made the pre-image smaller, the scale factor was _____ than one. Dilating a figure on the coordinate plane Graph PQR with vertices P (0, 2), Q (1, 0), and R (2, 2) and its image after a dilation with scale factor 3 and a center of dilation at point (0, 0). State the points of the image, and plot them.
A median of a triangle is a line segment that joins the vertex of a triangle to the midpoint of the opposite side. There are some basic facts about the medians, which I will just mention and can be explored easily in GSP. Here are some of them
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Given the preimage ∆ABC, identify the coordinates of and draw the image of ∆A'B'C' under dilation about the origin of ratio 3. Our scale factor is 3, meaning each vertex in ∆A'B'C' will be three times the distance from the origin as its preimage vertex.
If three sides of one triangle is congruent to three sides of another triangle, then the two triangles are congruent.
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Identify the triangle congruency theorem that can be used to prove two triangles congruent. Performance Task: Congruency Proofs Similarity Transformations Dilations Calculate and interpret the scale factor for dilations of figures. Determine the unknown measures of an image or pre-image of a dilated figure given the scale factor.
2. When a triangle is dilated, the pre-image and the image are similar triangles. There are three cases of triangles being dilated: • The image is congruent to the pre-image (scale factor of 1). • The image is smaller than the pre-image (scale factor between 0 and 1). • The image is larger than the pre-image (scale factor greater than 1). 3.
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Check your answer. Here is triangle ABC. Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of 2. Draw the triangle connecting the three new points. Dilate each vertex of triangle ABC using P as the center of dilation and a scale factor of 12.